Finite Group Databasebeta

← #7650808

Subgroups — #7650808

Order 512.

5288 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42778C212yesmaximal, complemented
2#42705C212yesmaximal, complemented
3#42702C212yesmaximal, complemented
4#42620C212yesmaximal, complemented
5#42557C212yesmaximal, complemented
6#42541C212yesmaximal, complemented
7#42529C212yesmaximal, complemented
8#42528C212yesmaximal, complemented
9#41445C214yesmaximal, complemented
10#40753C214yesmaximal, complemented
11#40198C212yesmaximal, complemented
12#40046C212yesmaximal, complemented
13#40026C212yesmaximal, complemented
14#40025C212yesmaximal, complemented
15#39793C212yesmaximal, complemented
16#39202C212yesmaximal, complemented
17#39006C212yesmaximal, complemented
18#38987C212yesmaximal, complemented
19#38543C214yesmaximal, complemented
20#37903C214yesmaximal, complemented
21#35677C211yesmaximal, characteristic, complemented
22#35673C211yesmaximal, characteristic, complemented
23#35621C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35329C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic, complemented
30#34937C211yesmaximal, characteristic, complemented
31#34815C211yesmaximal, characteristic, complemented
32C2×#2447C211yesmaximal, characteristic, complemented
33#34268C211yesmaximal, characteristic, complemented
34#34265C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#519C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2847C2214yes—
56#2837C2214yescomplemented
57#2836C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2803C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2786C2214yescomplemented
65#2786C2214yescomplemented
66#2780C2214yescomplemented
67#2777C2214yescomplemented
68#2773C2214yescomplemented
69#2768C2214yescomplemented
70#2761C2214yescomplemented
71#2756C2214yescomplemented
72#2753C2214yescomplemented
73#2753C2214yescomplemented
74#2752C2214yescomplemented
75#2752C2214yescomplemented
76#2749C2214yescomplemented
77#2748C2214yescomplemented
78#2743C2214yescomplemented
79#2741C2214yescomplemented
80#2740C2214yescomplemented
81#2740C2214yescomplemented
82#2740C2214yescomplemented
83#2738C2214yescomplemented
84#2711C2214yescomplemented
85#2707C2214yescomplemented
86#2706C2214yescomplemented
87#2703C2214yescomplemented
88#2701C2214yescomplemented
89#2699C2214yescomplemented
90#2688C2214yescomplemented
91#2671C2214yescomplemented
92#2667C2214yescomplemented
93#2661C2214yescomplemented
94#2658C2212yes—
95#2657C2212yes—
96#2654C2214yescomplemented
97#2651C2214yescomplemented
98#2651C2214yescomplemented
99#2649C2214yescomplemented
100#2648C2214yescomplemented
101#2648C2214yescomplemented
102#2644C2214yescomplemented
103#2635C2214yescomplemented
104#2630C2214yescomplemented
105#2624C2212yes—
106#2624C2212yes—
107#2624C2214yescomplemented
108#2617C2214yes—
109#2548C2212yes—
110#2548C2212yes—
111#2548C2212yes—
112#2548C2211yescharacteristic, complemented
113#2547C2212yes—
114#2547C2212yescomplemented
115#2547C2212yescomplemented
116#2547C2211yescharacteristic, complemented
117#2546C2212yescomplemented
118#2546C2212yescomplemented
119#2546C2211yescharacteristic, complemented
120#2545C2212yes—
121#2545C2212yes—
122#2545C2212yes—
123#2545C2212yescomplemented
124#2545C2212yescomplemented
125#2545C2211yescharacteristic, complemented
126#2545C2211yescharacteristic, complemented
127#2544C2212yes—
128#2544C2212yes—
129#2544C2212yes—
130#2544C2211yescharacteristic, complemented
131#2544C2212yescomplemented
132#2544C2212yescomplemented
133#2544C2211yescharacteristic, complemented
134#2543C2212yes—
135#2543C2212yes—
136#2541C2212yes—
137#2541C2212yes—
138#2541C2211yescharacteristic, complemented
139#2540C2212yes—
140#2540C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2539C2214yes—
144#2539C2214yes—
145#2537C2212yes—
146#2537C2212yes—
147#2535C2212yes—
148#2535C2212yes—
149#2531C2214yescomplemented
150#2526C2214yescomplemented
151#2522C2214yescomplemented
152#2516C2214yescomplemented
153#2513C2214yescomplemented
154#2509C2211yescharacteristic, complemented
155#2509C2211yescharacteristic, complemented
156#2508C2211yescharacteristic, complemented
157#2508C2211yescharacteristic, complemented
158#2507C2211yescharacteristic, complemented
159#2507C2211yescharacteristic, complemented
160#2506C2211yescharacteristic, complemented
161#2506C2211yescharacteristic, complemented
162#2505C2212yes—
163#2505C2212yes—
164#2498C2214yes—
165#2498C2214yes—
166#2490C2214yescomplemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2485C2212yescomplemented
171#2476C2214yescomplemented
172#2473C2212yes—
173#2473C2212yes—
174#2471C2214yescomplemented
175#2464C2214yescomplemented
176#2457C2214yescomplemented
177#2454C2214yescomplemented
178#2448C2212yes—
179#2448C2212yes—
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2447C2212yes—
191#2447C2212yescomplemented
192#2446C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yescomplemented
198#2444C2214yes—
199#2443C2214yes—
200#2426C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2425C2214yes—
205#2425C2214yes—
206#2425C2214yes—
207#2425C2214yes—
208#2424C2214yes—
209#2424C2214yes—
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2421C2212yescomplemented
213#2421C2212yescomplemented
214#2420C2214yescomplemented
215#2418C2214yes—
216#2418C2214yes—
217#2417C2212yescomplemented
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2417C2212yescomplemented
221#2416C2212yes—
222#2416C2212yes—
223#2416C2212yes—
224#2416C2212yes—
225#2415C2212yescomplemented
226#2415C2212yescomplemented
227#2415C2212yescomplemented
228#2415C2212yescomplemented
229#2414C2212yes—
230#2414C2212yes—
231#2411C2214yes—
232#2411C2214yes—
233#2402C2212yescomplemented
234#2402C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237C2×#397C2212yes—
238C2×#397C2212yes—
239#2367C2212yes—
240#2367C2212yes—
241#2367C2212yescomplemented
242#2367C2212yescomplemented
243#2366C2212yes—
244#2366C2212yes—
245#2365C2212yescomplemented
246#2365C2212yescomplemented
247#2363C2212yes—
248#2363C2212yes—
249#2361C2212yes—
250#2361C2212yes—
251#2359C2214yes—
252#2359C2214yes—
253#2353C2214yes—
254#2352C2214yes—
255#2347C2212yescomplemented
256#2346C2212yescomplemented
257#2345C2212yescomplemented
258#2344C2212yescomplemented
259#2335C2214yescomplemented
260#2333C2214yescomplemented
261#2324C2214yescomplemented
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2321C2214yes—
265#2320C2212yescomplemented
266#2319C2214yescomplemented
267#2319C2212yescomplemented
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×#125C2212yescomplemented
275C4×#125C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#120C2214yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2295C2212yescomplemented
288C2×#391C2211yescharacteristic
289C2×#391C2211yescharacteristic
290#2293C2212yescomplemented
291C2×#390C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#385C2212yes—
294#2285C2211yescharacteristic
295C2×#381C2212yes—
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#536—28no—
306#536—44no—
307#536—44no—
308#535—28no—
309#535—44no—
310#535—44no—
311#532—44no—
312#532—44no—
313#532—44no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124—44no—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378#520—28no—
379#520—44no—
380#519—44no—
381C4×#41—44no—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×D4—44no—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C2×#117C2314yes—
420C2×#117C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2312yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2312yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
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#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#383C2314yes—
742#382C2312yes—
743#382C2312yes—
744#382C2314yes—
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#379C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C43C2312yes—
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C22×Q8—24no—
836C22×Q8—24no—
837C22×Q8—24no—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2411yescharacteristic
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—24no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—44no—
867C23×C4—44no—
868C23×C4—82no—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C4⋊Q8—28no—
889C4⋊Q8—42no—
890C4⋊Q8—42no—
891C4⋊Q8—42no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894#127—28no—
895#127—42no—
896#127—42no—
897#127—42no—
898#127—44no—
899#127—44no—
900#125—44no—
901#125—44no—
902#124—28no—
903#124—28no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—42no—
909#124—42no—
910#124—42no—
911#124—42no—
912#124—42no—
913#124—42no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#123—216no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—84no—
923#123—84no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—28no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—84no—
947#121—84no—
948#120—216no—
949#120—48no—
950#120—48no—
951C4×Q8—28no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×D4—216no—
960C4×D4—28no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—48no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—48no—
978C4×D4—84no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—28no—
984#117—44no—
985#117—48no—
986#117—44no—
987#117—84no—
988#117#4118yes—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4—42no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—82no—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—82no—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C42—24no—
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—44no—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223C24—24no—
1224C24—24no—
1225C24—24no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—416no—
1237#41—416no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—416no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—416no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—28no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—816no—
1370C22×C4C2×#4114yes—
1371C22×C4H(5,𝔽2)14yes—
1372C22×C4H(5,𝔽2)14yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4C2×#4114yes—
1466C4⋊C4C2×#4114yes—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4C2×#4118yes—
1530C42—28no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—24no—
1547C42—42no—
1548C42—42no—
1549C42—42no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—42no—
1557C42—42no—
1558C42C2×#4118yes—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—48no—
1592C23—48no—
1593C23—48no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23C22×#4112yes—
1599C23C2×H(5,𝔽2)12yes—
1600C23C2×H(5,𝔽2)12yes—
1601C23C2611yescharacteristic
1602Q8—48no—
1603Q8—48no—
1604Q8—44no—
1605Q8—44no—
1606Q8—44no—
1607D4—48no—
1608D4—48no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—88no—
1616D4—88no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—164no—
1624D4—164no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—88no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4—84no—
1717C2×C4—82no—
1718C2×C4—82no—
1719C2×C4—82no—
1720C2×C4—82no—
1721C2×C4—84no—
1722C2×C4—84no—
1723C2×C4—88no—
1724C2×C4—164no—
1725C2×C4#540116yes—
1726C2×C4C22×#4114yes—
1727C2×C4C22×#4114yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—44no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—816no—
1771C22C2×#54014yes—
1772C22C23×#4111yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22H(7,𝔽2)11yescharacteristic
1778C222−1+611yescharacteristic
1779C4—24no—
1780C4—24no—
1781C4—22no—
1782C4—22no—
1783C4—44no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—44no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—44no—
1807C4C2×#54014yes—
1808C4C2×#54014yes—
1809C2—24no—
1810C2—82no—
1811C2—82no—
1812C2—82no—
1813C2—84no—
1814C2C22×#54011yescharacteristic
1815C2#6283011yescharacteristic
1816C2#6287811yescharacteristic
1817C2#6292411yescharacteristic
1818C2#6292511yescharacteristic
1819C2#6299511yescharacteristic
1820C2#6301011yescharacteristic
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. #42778C2semidirect
2. #42705C2semidirect
3. #42702C2semidirect
4. #42620C2semidirect
5. #42557C2semidirect
6. #42541C2semidirect
7. #42529C2semidirect
8. #42528C2semidirect
9. #41445C2semidirect
10. #40753C2semidirect
11. #40198C2semidirect
12. #40046C2semidirect
13. #40026C2semidirect
14. #40025C2semidirect
15. #39793C2semidirect
16. #39202C2semidirect
17. #39006C2semidirect
18. #38987C2semidirect
19. #38543C2semidirect
20. #37903C2semidirect
21. #35677C2semidirect
22. #35673C2semidirect
23. #35621C2semidirect
24. #35621C2semidirect
25. #35533C2semidirect
26. #35517C2semidirect
27. #35329C2semidirect
28. #35254C2semidirect
29. #35165C2semidirect
30. #34937C2semidirect
31. #34815C2semidirect
32. C2×#2447C2semidirect
33. #34268C2semidirect
34. #34265C2semidirect
35. #34253C2semidirect
56. #2837C22semidirect
57. #2836C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2803C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2786C22semidirect
65. #2786C22semidirect
66. #2780C22semidirect
67. #2777C22semidirect
68. #2773C22semidirect
69. #2768C22semidirect
70. #2761C22semidirect
71. #2756C22semidirect
72. #2753C22semidirect
73. #2753C22semidirect
74. #2752C22semidirect
75. #2752C22semidirect
76. #2749C22semidirect
77. #2748C22semidirect
78. #2743C22semidirect
79. #2741C22semidirect
80. #2740C22semidirect
81. #2740C22semidirect
82. #2740C22semidirect
83. #2738C22semidirect
84. #2711C22semidirect
85. #2707C22semidirect
86. #2706C22semidirect
87. #2703C22semidirect
88. #2701C22semidirect
89. #2699C22semidirect
90. #2688C22semidirect
91. #2671C22semidirect
92. #2667C22semidirect
93. #2661C22semidirect
96. #2654C22semidirect
97. #2651C22semidirect
98. #2651C22semidirect
99. #2649C22semidirect
100. #2648C22semidirect
101. #2648C22semidirect
102. #2644C22semidirect
103. #2635C22semidirect
104. #2630C22semidirect
107. #2624C22semidirect
112. #2548C22semidirect
114. #2547C22semidirect
115. #2547C22semidirect
116. #2547C22semidirect
117. #2546C22semidirect
118. #2546C22semidirect
119. #2546C22semidirect
123. #2545C22semidirect
124. #2545C22semidirect
125. #2545C22semidirect
126. #2545C22semidirect
130. #2544C22semidirect
131. #2544C22semidirect
132. #2544C22semidirect
133. #2544C22semidirect
138. #2541C22semidirect
149. #2531C22semidirect
150. #2526C22semidirect
151. #2522C22semidirect
152. #2516C22semidirect
153. #2513C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2508C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2506C22semidirect
161. #2506C22semidirect
166. #2490C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2485C22semidirect
171. #2476C22semidirect
174. #2471C22semidirect
175. #2464C22semidirect
176. #2457C22semidirect
177. #2454C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
191. #2447C22semidirect
192. #2446C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
197. #2445C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2421C22semidirect
213. #2421C22semidirect
214. #2420C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
225. #2415C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
228. #2415C22semidirect
233. #2402C22semidirect
234. #2402C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
241. #2367C22semidirect
242. #2367C22semidirect
245. #2365C22semidirect
246. #2365C22semidirect
255. #2347C22semidirect
256. #2346C22semidirect
257. #2345C22semidirect
258. #2344C22semidirect
259. #2335C22semidirect
260. #2333C22semidirect
261. #2324C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
265. #2320C22semidirect
266. #2319C22semidirect
267. #2319C22semidirect
274. C4×#125C22semidirect
275. C4×#125C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
287. #2295C22semidirect
290. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#427782
#427052
#427022
#426202
#425572
#425412
#425292
#425282
#414452
#407532
#401982
#400462
#400262
#400252
#397932
#392022
#390062
#389872
#385432
#379032
#356772
#356732
#356212
#355332
#355172
#353292
#352542
#351652
#349372
#348152
C2×#24472
#342682
#342652
#342532