Finite Group Databasebeta

← #8425262

Subgroups — #8425262

Order 512.

5365 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59659C211yesmaximal, characteristic, complemented
3#59581C212yesmaximal, complemented
4#59420C211yesmaximal, characteristic, complemented
5#59102C212yesmaximal, complemented
6#53687C214yesmaximal, complemented
7#53544C214yesmaximal, complemented
8#53116C212yesmaximal, complemented
9#53106C212yesmaximal, complemented
10#53057C212yesmaximal, complemented
11#53000C212yesmaximal, complemented
12#52363C214yesmaximal, complemented
13#42976C212yesmaximal, complemented
14#42967C212yesmaximal, complemented
15#42893C212yesmaximal, complemented
16#42590C212yesmaximal, complemented
17#40535C214yesmaximal, complemented
18#39745C211yesmaximal, characteristic, complemented
19#39405C212yesmaximal, complemented
20#39401C212yesmaximal, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39168C211yesmaximal, characteristic, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38250C212yesmaximal, complemented
25#37751C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37501C212yesmaximal, complemented
30#36595C211yesmaximal, characteristic, complemented
31#36457C211yesmaximal, characteristic, complemented
32#36412C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34918C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic, complemented
42C2×#547C2212yescomplemented
43C2×D42C2211yescharacteristic
44C2×#538C2214yescomplemented
45C2×#535C2212yes—
46C2×#529C2212yescomplemented
47#2867C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2212yes—
50#2858C2211yescharacteristic, complemented
51#2856C2212yes—
52#2831C2214yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2828C2214yescomplemented
58#2825C2214yescomplemented
59#2824C2214yescomplemented
60#2824C2214yescomplemented
61#2819C2214yescomplemented
62#2816C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yescomplemented
66#2797C2214yescomplemented
67#2753C2214yescomplemented
68#2750C2214yescomplemented
69#2741C2214yescomplemented
70#2731C2214yescomplemented
71#2730C2214yescomplemented
72#2714C2214yescomplemented
73#2706C2214yescomplemented
74#2703C2214yescomplemented
75#2697C2214yes—
76#2697C2214yescomplemented
77#2697C2214yescomplemented
78#2696C2214yescomplemented
79#2691C2214yescomplemented
80#2687C2214yescomplemented
81#2686C2214yescomplemented
82#2685C2214yescomplemented
83#2685C2214yescomplemented
84#2684C2214yescomplemented
85#2684C2214yescomplemented
86#2682C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2676C2214yescomplemented
92#2674C2214yescomplemented
93#2674C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2671C2214yescomplemented
97#2670C2214yes—
98#2670C2214yes—
99#2670C2214yescomplemented
100#2669C2214yes—
101#2669C2214yes—
102#2668C2214yescomplemented
103#2662C2214yescomplemented
104#2661C2214yescomplemented
105#2657C2212yescomplemented
106#2653C2214yescomplemented
107#2648C2214yescomplemented
108#2648C2214yescomplemented
109#2647C2212yescomplemented
110#2644C2212yes—
111#2644C2212yescomplemented
112#2641C2212yes—
113#2640C2212yescomplemented
114#2637C2214yescomplemented
115#2635C2214yescomplemented
116#2631C2214yescomplemented
117#2630C2214yescomplemented
118#2630C2214yescomplemented
119#2629C2212yescomplemented
120#2625C2212yescomplemented
121#2624C2212yescomplemented
122#2620C2212yescomplemented
123#2619C2212yes—
124#2619C2212yes—
125#2618C2214yescomplemented
126#2597C2214yescomplemented
127#2597C2212yescomplemented
128#2596C2212yescomplemented
129#2595C2212yescomplemented
130#2594C2212yescomplemented
131#2592C2211yescharacteristic
132#2592C2211yescharacteristic
133#2591C2214yescomplemented
134#2581C2211yescharacteristic, complemented
135#2580C2211yescharacteristic, complemented
136#2578C2214yescomplemented
137#2570C2211yescharacteristic, complemented
138#2570C2211yescharacteristic, complemented
139#2567C2211yescharacteristic, complemented
140#2563C2211yescharacteristic
141#2563C2212yescomplemented
142#2557C2214yescomplemented
143#2555C2214yescomplemented
144#2555C2214yescomplemented
145#2554C2214yescomplemented
146#2554C2214yescomplemented
147#2552C2211yescharacteristic, complemented
148#2548C2211yescharacteristic
149#2548C2212yes—
150#2548C2212yescomplemented
151#2548C2211yescharacteristic, complemented
152#2548C2212yescomplemented
153#2548C2212yescomplemented
154#2545C2211yescharacteristic
155#2545C2212yescomplemented
156#2545C2214yescomplemented
157#2544C2211yescharacteristic
158#2544C2212yescomplemented
159#2544C2212yescomplemented
160#2544C2212yescomplemented
161#2542C2212yescomplemented
162#2541C2212yes—
163#2541C2211yescharacteristic
164#2541C2211yescharacteristic
165#2541C2212yescomplemented
166#2538C2211yescharacteristic
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic, complemented
169#2537C2212yescomplemented
170#2534C2214yes—
171#2525C2212yescomplemented
172#2516C2212yescomplemented
173#2514C2211yescharacteristic, complemented
174#2513C2211yescharacteristic
175#2512C2212yes—
176#2512C2211yescharacteristic
177#2512C2212yescomplemented
178#2511C2211yescharacteristic, complemented
179#2508C2212yescomplemented
180#2500C2212yes—
181#2500C2212yescomplemented
182#2496C2212yescomplemented
183#2491C2212yes—
184#2491C2212yescomplemented
185#2491C2214yescomplemented
186#2491C2212yescomplemented
187#2491C2214yescomplemented
188#2491C2212yescomplemented
189#2490C2212yescomplemented
190#2489C2212yescomplemented
191#2481C2214yescomplemented
192#2476C2214yescomplemented
193#2472C2214yescomplemented
194#2471C2214yescomplemented
195#2469C2212yescomplemented
196#2467C2214yescomplemented
197#2464C2214yescomplemented
198#2458C2212yescomplemented
199#2457C2214yescomplemented
200#2456C2214yescomplemented
201#2454C2212yescomplemented
202#2452C2212yescomplemented
203#2452C2212yescomplemented
204#2448C2211yescharacteristic
205#2448C2212yescomplemented
206#2448C2212yescomplemented
207#2447C2211yescharacteristic, complemented
208#2446C2211yescharacteristic, complemented
209#2445C2211yescharacteristic
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yescomplemented
213#2445C2212yescomplemented
214#2445C2212yescomplemented
215#2445C2212yescomplemented
216#2445C2212yescomplemented
217#2445C2212yescomplemented
218#2439C2212yescomplemented
219#2439C2212yescomplemented
220#2435C2212yes—
221#2435C2212yes—
222#2433C2212yes—
223#2433C2212yes—
224#2433C2212yes—
225#2433C2212yes—
226#2431C2212yes—
227#2431C2212yes—
228#2431C2212yescomplemented
229#2431C2212yescomplemented
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2427C2212yes—
237#2427C2212yes—
238#2427C2212yescomplemented
239#2426C2212yes—
240#2426C2212yescomplemented
241#2426C2212yescomplemented
242#2424C2214yescomplemented
243#2422C2212yescomplemented
244#2420C2212yes—
245#2420C2212yes—
246#2416C2214yescomplemented
247#2414C2212yes—
248#2414C2212yes—
249#2411C2214yescomplemented
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2401C2212yescomplemented
255#2398C2212yescomplemented
256#2396C2212yescomplemented
257#2395C2212yescomplemented
258#2392C2214yescomplemented
259#2366C2212yescomplemented
260#2366C2212yescomplemented
261#2363C2212yescomplemented
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2362C2212yescomplemented
265#2352C2214yescomplemented
266D4×C4⋊C4C2212yescomplemented
267#2341C2212yescomplemented
268#2341C2212yescomplemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271#2328C2212yescomplemented
272#2326C2212yescomplemented
273#2309C2212yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2212yescomplemented
279C4×#127C2211yescharacteristic, complemented
280C4×#126C2212yescomplemented
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×#123C2212yescomplemented
287C4×#121C2212yescomplemented
288#2298C2212yescomplemented
289#2297C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2212yescomplemented
295#2290C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—48no—
304#559—44no—
305Q82—44no—
306#555—44no—
307#550—44no—
308#550—44no—
309#547—48no—
310D42—44no—
311#538—416no—
312#535—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331#529—48no—
332C2×#126C2312yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2311yescharacteristic
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2312yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2312yes—
432#401C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2312yes—
447#399C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2312yes—
540#393C2314yes—
541#393C2314yes—
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#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2312yes—
748#383C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2314yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—48no—
881#127—24no—
882#127—24no—
883#127—44no—
884#127—42no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—82no—
894#126—28no—
895#126—48no—
896#126—48no—
897#125—44no—
898#124—28no—
899#124—24no—
900#124—48no—
901#124—48no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—42no—
906#124—42no—
907#124—42no—
908#124—48no—
909#124—44no—
910#124—44no—
911#124—48no—
912#124—82no—
913#124—84no—
914#124—82no—
915#123—28no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923C22⋊Q8—28no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—84no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
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—44no—
945#121—44no—
946#121—84no—
947#121—84no—
948#120—48no—
949#120—48no—
950#120—48no—
951#120—48no—
952#120—48no—
953#120—84no—
954#120—84no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—42no—
961C4×Q8—42no—
962C4×Q8—44no—
963C4×Q8—42no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×D4—216no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—48no—
971C4×D4—44no—
972C4×D4—42no—
973C4×D4—44no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986#117—44no—
987#117—44no—
988#117—48no—
989#117—44no—
990#117—44no—
991C2×C4⋊C4—48no—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C42—44no—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2514yes—
1224C24C2512yes—
1225C24C2514yes—
1226#41—816no—
1227#41—816no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8H(5,𝔽2)14yes—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
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—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—816no—
1325C2×D4—816no—
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—28no—
1336C22×C4—28no—
1337C22×C4—28no—
1338C22×C4—24no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—42no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4H(5,𝔽2)14yes—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C42—22no—
1516C42—24no—
1517C42—24no—
1518C42—22no—
1519C42—28no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—42no—
1542C42—44no—
1543C42—41no—
1544C42—41no—
1545C42—42no—
1546C42—41no—
1547C42H(5,𝔽2)14yes—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—24no—
1562C23—24no—
1563C23—22no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—164no—
1587C23—164no—
1588C23—164no—
1589C23—164no—
1590C23C2611yescharacteristic
1591Q8—28no—
1592Q8—44no—
1593Q8—44no—
1594Q8—44no—
1595Q8—84no—
1596Q8—164no—
1597D4—48no—
1598D4—44no—
1599D4—48no—
1600D4—44no—
1601D4—48no—
1602D4—48no—
1603D4—44no—
1604D4—84no—
1605D4—88no—
1606D4—84no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—164no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619D4—164no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—48no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—88no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—88no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4—164no—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)14yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4#58512yes—
1721C2×C4#58512yes—
1722C2×C4#58512yes—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—44no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—44no—
1756C22—44no—
1757C22—42no—
1758C22—1616no—
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22H(7,𝔽2)11yescharacteristic
1766C4—24no—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—44no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4#355814yes—
1795C4#356214yes—
1796C2—82no—
1797C2—84no—
1798C2—84no—
1799C2—82no—
1800C2—82no—
1801C2C2×#355811yescharacteristic
1802C2C2×#356211yescharacteristic
1803C2#6275911yescharacteristic
1804C2#6291611yescharacteristic
1805C2#6292311yescharacteristic
1806C2#6296611yescharacteristic
1807C2#6301411yescharacteristic
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. #59815C2semidirect
2. #59659C2semidirect
3. #59581C2semidirect
4. #59420C2semidirect
5. #59102C2semidirect
6. #53687C2semidirect
7. #53544C2semidirect
8. #53116C2semidirect
9. #53106C2semidirect
10. #53057C2semidirect
11. #53000C2semidirect
12. #52363C2semidirect
13. #42976C2semidirect
14. #42967C2semidirect
15. #42893C2semidirect
16. #42590C2semidirect
17. #40535C2semidirect
18. #39745C2semidirect
19. #39405C2semidirect
20. #39401C2semidirect
21. #39361C2semidirect
22. #39168C2semidirect
23. #38953C2semidirect
24. #38250C2semidirect
25. #37751C2semidirect
26. #37637C2semidirect
27. #37625C2semidirect
28. #37587C2semidirect
29. #37501C2semidirect
30. #36595C2semidirect
31. #36457C2semidirect
32. #36412C2semidirect
33. #34934C2semidirect
34. #34918C2semidirect
35. #34902C2semidirect
37. C2×#559C22semidirect
38. C2×Q82C22semidirect
41. C2×#550C22semidirect
42. C2×#547C22semidirect
44. C2×#538C22semidirect
46. C2×#529C22semidirect
50. #2858C22semidirect
52. #2831C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2824C22semidirect
61. #2819C22semidirect
62. #2816C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2812C22semidirect
66. #2797C22semidirect
67. #2753C22semidirect
68. #2750C22semidirect
69. #2741C22semidirect
70. #2731C22semidirect
71. #2730C22semidirect
72. #2714C22semidirect
73. #2706C22semidirect
74. #2703C22semidirect
76. #2697C22semidirect
77. #2697C22semidirect
78. #2696C22semidirect
79. #2691C22semidirect
80. #2687C22semidirect
81. #2686C22semidirect
82. #2685C22semidirect
83. #2685C22semidirect
84. #2684C22semidirect
85. #2684C22semidirect
86. #2682C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2674C22semidirect
93. #2674C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2671C22semidirect
99. #2670C22semidirect
102. #2668C22semidirect
103. #2662C22semidirect
104. #2661C22semidirect
105. #2657C22semidirect
106. #2653C22semidirect
107. #2648C22semidirect
108. #2648C22semidirect
109. #2647C22semidirect
111. #2644C22semidirect
113. #2640C22semidirect
114. #2637C22semidirect
115. #2635C22semidirect
116. #2631C22semidirect
117. #2630C22semidirect
118. #2630C22semidirect
119. #2629C22semidirect
120. #2625C22semidirect
121. #2624C22semidirect
122. #2620C22semidirect
125. #2618C22semidirect
126. #2597C22semidirect
127. #2597C22semidirect
128. #2596C22semidirect
129. #2595C22semidirect
130. #2594C22semidirect
133. #2591C22semidirect
134. #2581C22semidirect
135. #2580C22semidirect
136. #2578C22semidirect
137. #2570C22semidirect
138. #2570C22semidirect
139. #2567C22semidirect
141. #2563C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
147. #2552C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
155. #2545C22semidirect
156. #2545C22semidirect
158. #2544C22semidirect
159. #2544C22semidirect
160. #2544C22semidirect
161. #2542C22semidirect
165. #2541C22semidirect
168. #2538C22semidirect
169. #2537C22semidirect
171. #2525C22semidirect
172. #2516C22semidirect
173. #2514C22semidirect
177. #2512C22semidirect
178. #2511C22semidirect
179. #2508C22semidirect
181. #2500C22semidirect
182. #2496C22semidirect
184. #2491C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2491C22semidirect
189. #2490C22semidirect
190. #2489C22semidirect
191. #2481C22semidirect
192. #2476C22semidirect
193. #2472C22semidirect
194. #2471C22semidirect
195. #2469C22semidirect
196. #2467C22semidirect
197. #2464C22semidirect
198. #2458C22semidirect
199. #2457C22semidirect
200. #2456C22semidirect
201. #2454C22semidirect
202. #2452C22semidirect
203. #2452C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2447C22semidirect
208. #2446C22semidirect
212. #2445C22semidirect
213. #2445C22semidirect
214. #2445C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
217. #2445C22semidirect
218. #2439C22semidirect
219. #2439C22semidirect
228. #2431C22semidirect
229. #2431C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
238. #2427C22semidirect
240. #2426C22semidirect
241. #2426C22semidirect
242. #2424C22semidirect
243. #2422C22semidirect
246. #2416C22semidirect
249. #2411C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2401C22semidirect
255. #2398C22semidirect
256. #2396C22semidirect
257. #2395C22semidirect
258. #2392C22semidirect
259. #2366C22semidirect
260. #2366C22semidirect
261. #2363C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
264. #2362C22semidirect
265. #2352C22semidirect
266. D4×C4⋊C4C22semidirect
267. #2341C22semidirect
268. #2341C22semidirect
271. #2328C22semidirect
272. #2326C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
280. C4×#126C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×#123C22semidirect
287. C4×#121C22semidirect
288. #2298C22semidirect
289. #2297C22semidirect
290. #2295C22semidirect
291. #2295C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#596592
#595812
#594202
#591022
#536872
#535442
#531162
#531062
#530572
#530002
#523632
#429762
#429672
#428932
#425902
#405352
#397452
#394052
#394012
#393612
#391682
#389532
#382502
#377512
#376372
#376252
#375872
#375012
#365952
#364572
#364122
#349342
#349182
#349022