Finite Group Databasebeta

← #7966785

Subgroups — #7966785

Order 512.

5826 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59702C212yesmaximal, complemented
2#59426C211yesmaximal, characteristic, complemented
3#59394C212yesmaximal, complemented
4#59070C211yesmaximal, characteristic, complemented
5#59039C211yesmaximal, characteristic, complemented
6#51758C214yesmaximal, complemented
7#50066C214yesmaximal, complemented
8#45600C212yesmaximal, complemented
9#45518C212yesmaximal, complemented
10#45043C212yesmaximal, complemented
11#45033C212yesmaximal, complemented
12#43012C214yesmaximal, complemented
13#42595C212yesmaximal, complemented
14#42483C212yesmaximal, complemented
15#41030C214yesmaximal, complemented
16#40145C212yesmaximal, complemented
17#39886C212yesmaximal, complemented
18#39810C212yesmaximal, complemented
19#39745C211yesmaximal, characteristic, complemented
20#39469C212yesmaximal, complemented
21#39405C212yesmaximal, complemented
22#38941C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36147C212yesmaximal, complemented
26#36128C211yesmaximal, characteristic, complemented
27#36128C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35237C211yesmaximal, characteristic, complemented
30#35177C211yesmaximal, characteristic, complemented
31#35005C212yesmaximal, complemented
32#34977C211yesmaximal, characteristic, complemented
33#34803C211yesmaximal, characteristic, complemented
34#34494C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#555C2212yescomplemented
38C2×#550C2212yes—
39C2×#550C2212yes—
40C2×#550C2211yescharacteristic
41C2×#546C2211yescharacteristic
42C2×#538C2214yes—
43C2×#532C2211yescharacteristic
44C2×#532C2212yescomplemented
45C2×#532C2211yescharacteristic, complemented
46C2×#525C2212yes—
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49#2867C2211yescharacteristic, complemented
50#2858C2212yes—
51#2857C2212yescomplemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2856C2212yescomplemented
55#2855C2212yescomplemented
56#2850C2212yescomplemented
57#2847C2212yes—
58#2847C2212yes—
59#2847C2212yes—
60#2825C2214yescomplemented
61#2815C2214yes—
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2796C2214yescomplemented
65#2778C2214yes—
66#2778C2214yescomplemented
67#2760C2214yescomplemented
68#2759C2214yescomplemented
69#2752C2214yescomplemented
70#2751C2214yescomplemented
71#2749C2214yescomplemented
72#2737C2214yescomplemented
73#2717C2214yescomplemented
74#2714C2214yes—
75#2714C2214yescomplemented
76#2712C2214yescomplemented
77#2712C2214yescomplemented
78#2710C2214yescomplemented
79#2709C2214yes—
80#2703C2214yes—
81#2703C2214yes—
82#2703C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yes—
86#2686C2214yescomplemented
87#2678C2214yes—
88#2676C2214yes—
89#2676C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2670C2214yes—
93#2669C2214yes—
94#2669C2214yes—
95#2665C2214yescomplemented
96#2657C2212yes—
97#2640C2212yescomplemented
98#2639C2214yescomplemented
99#2631C2214yes—
100#2631C2214yes—
101#2631C2214yescomplemented
102#2617C2214yes—
103#2615C2214yes—
104#2610C2214yescomplemented
105#2610C2214yescomplemented
106#2602C2214yescomplemented
107#2598C2214yes—
108#2595C2214yescomplemented
109#2592C2212yes—
110#2591C2214yescomplemented
111#2578C2214yescomplemented
112#2567C2211yescharacteristic, complemented
113#2567C2211yescharacteristic, complemented
114#2563C2211yescharacteristic
115#2563C2211yescharacteristic
116#2563C2212yescomplemented
117#2559C2214yes—
118#2559C2214yescomplemented
119#2557C2214yes—
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2555C2214yescomplemented
123#2551C2211yescharacteristic, complemented
124#2548C2211yescharacteristic, complemented
125#2548C2212yescomplemented
126#2548C2212yescomplemented
127#2544C2214yes—
128#2544C2212yescomplemented
129#2541C2211yescharacteristic
130#2541C2212yes—
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2541C2212yes—
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2540C2212yescomplemented
137#2538C2211yescharacteristic
138#2537C2212yescomplemented
139#2535C2212yes—
140#2535C2212yes—
141#2535C2212yescomplemented
142#2533C2212yescomplemented
143#2527C2212yes—
144#2523C2212yescomplemented
145#2514C2212yescomplemented
146#2514C2211yescharacteristic, complemented
147#2513C2212yescomplemented
148#2512C2212yes—
149#2510C2214yescomplemented
150#2509C2211yescharacteristic, complemented
151#2509C2212yescomplemented
152#2504C2212yes—
153#2500C2212yescomplemented
154#2499C2211yescharacteristic, complemented
155#2497C2212yescomplemented
156#2496C2211yescharacteristic
157#2496C2212yescomplemented
158#2494C2212yescomplemented
159#2492C2211yescharacteristic
160#2492C2212yescomplemented
161#2491C2212yes—
162#2491C2212yes—
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2485C2211yescharacteristic
166#2485C2214yescomplemented
167#2471C2214yescomplemented
168#2469C2214yescomplemented
169#2466C2212yes—
170#2465C2214yescomplemented
171#2459C2214yes—
172#2459C2214yescomplemented
173#2457C2214yescomplemented
174#2456C2214yes—
175#2456C2214yes—
176#2456C2214yescomplemented
177#2452C2212yes—
178#2448C2212yescomplemented
179#2447C2212yescomplemented
180#2447C2212yescomplemented
181#2445C2212yes—
182#2445C2212yes—
183#2444C2214yescomplemented
184#2439C2212yescomplemented
185#2439C2211yescharacteristic, complemented
186#2433C2212yes—
187#2433C2212yes—
188#2431C2212yes—
189#2431C2212yes—
190#2431C2212yes—
191#2431C2214yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yes—
208#2427C2212yes—
209#2427C2212yes—
210#2424C2214yes—
211#2424C2214yes—
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yescomplemented
215#2420C2212yes—
216#2420C2212yescomplemented
217#2416C2214yescomplemented
218#2415C2211yescharacteristic
219#2414C2212yes—
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2407C2212yes—
224#2407C2212yescomplemented
225#2406C2214yes—
226#2404C2214yes—
227#2404C2214yes—
228#2401C2212yescomplemented
229#2398C2212yes—
230#2388C2214yescomplemented
231#2377C2214yescomplemented
232#2377C2214yescomplemented
233#2367C2211yescharacteristic
234#2366C2212yes—
235#2366C2212yes—
236#2366C2212yescomplemented
237#2366C2211yescharacteristic, complemented
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2366C2211yescharacteristic, complemented
241#2364C2214yes—
242#2364C2212yes—
243#2363C2211yescharacteristic
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2361C2212yes—
247#2361C2214yescomplemented
248#2360C2211yescharacteristic
249#2359C2212yes—
250#2358C2212yes—
251#2355C2211yescharacteristic, complemented
252#2355C2212yescomplemented
253#2354C2211yescharacteristic
254#2352C2211yescharacteristic
255#2349C2211yescharacteristic
256#2349C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259#2347C2212yescomplemented
260#2342C2212yes—
261#2339C2211yescharacteristic
262#2339C2214yescomplemented
263#2339C2212yescomplemented
264D4×C22⋊C4C2211yescharacteristic
265#2331C2212yescomplemented
266#2328C2212yes—
267#2328C2212yes—
268#2328C2212yescomplemented
269#2325C2214yescomplemented
270#2325C2214yescomplemented
271#2324C2214yescomplemented
272#2319C2212yes—
273#2319C2212yescomplemented
274#2311C2214yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2212yes—
278C4×#126C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2295C2212yescomplemented
293#2293C2212yescomplemented
294#2283C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#559—44no—
307#555—48no—
308#550—216no—
309#550—44no—
310#550—48no—
311#546—28no—
312#538—416no—
313#532—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#127C2312yes—
333C2×#126C2312yes—
334C2×#126C2314yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346#525—48no—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2312yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C4×#41—44no—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×D4—44no—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2314yes—
432C2×C4×D4C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2314yes—
436C2×#117C2312yes—
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2314yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447C22×C42C2312yes—
448#401C2314yes—
449#401C2312yes—
450#400C2314yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2312yes—
455#400C2314yes—
456#400C2312yes—
457#400C2312yes—
458#399C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2314yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#383C2312yes—
733#383C2314yes—
734#383C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C43C2312yes—
822C43C2311yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—216no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—48no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—84no—
837C2×#41—82no—
838C2×#41—82no—
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×Q8C2414yes—
844C22×D4—24no—
845C22×D4—42no—
846C22×D4—42no—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2414yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4—44no—
876C23×C4—44no—
877C23×C4—44no—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903#127—28no—
904#127—28no—
905#127—28no—
906#127—24no—
907#127—24no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—48no—
915#127—82no—
916#126—28no—
917#126—48no—
918#124—24no—
919#124—48no—
920#124—48no—
921#124—48no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#124—48no—
928#124—48no—
929#123—28no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934C22⋊Q8—24no—
935C22⋊Q8—24no—
936C22⋊Q8—48no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939#121—28no—
940#121—216no—
941#121—24no—
942#121—28no—
943#121—216no—
944#121—216no—
945#121—216no—
946#121—44no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—84no—
969#121—84no—
970#120—28no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—84no—
975C4×Q8—28no—
976C4×Q8—24no—
977C4×Q8—24no—
978C4×Q8—44no—
979C4×Q8—42no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—48no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—42no—
1004C4×D4—44no—
1005C4×D4—48no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—48no—
1009C4×D4—48no—
1010C4×D4—48no—
1011C4×D4—84no—
1012C4×D4#4118yescomplemented
1013#117—28no—
1014#117—24no—
1015#117—48no—
1016#117—44no—
1017#117—42no—
1018#117—42no—
1019C2×C4⋊C4—42no—
1020C2×C4⋊C4—84no—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4—28no—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42—44no—
1143C2×C42—44no—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174#95C2412yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236C24—24no—
1237C24—24no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24C2512yes—
1244C24C2511yescharacteristic
1245C24C2514yes—
1246C24C2514yes—
1247C24C2512yes—
1248C24C2511yescharacteristic
1249#41—416no—
1250#41—832no—
1251#41—816no—
1252#41—816no—
1253#41—816no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—24no—
1260C2×Q8—24no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—44no—
1267C2×Q8—44no—
1268C2×Q8—44no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—22no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—41no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
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—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—42no—
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—44no—
1352C2×D4—416no—
1353C2×D4C2×#4114yes—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—28no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—816no—
1417C22×C4C2×#4118yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2514yes—
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—41no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4C2×#4114yes—
1492C4⋊C4H(5,𝔽2)14yes—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—22no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—41no—
1523C22⋊C4—42no—
1524C22⋊C4—41no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4C2×#4118yes—
1562C22⋊C4H(5,𝔽2)14yes—
1563C42—24no—
1564C42—24no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—24no—
1574C42—24no—
1575C42—28no—
1576C42—22no—
1577C42—24no—
1578C42—24no—
1579C42—22no—
1580C42—22no—
1581C42—24no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—42no—
1586C42—42no—
1587C42—44no—
1588C42—44no—
1589C42—42no—
1590C42—41no—
1591C42C2×#4114yes—
1592C42H(5,𝔽2)14yes—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—24no—
1607C23—24no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—24no—
1613C23—24no—
1614C23—22no—
1615C23—24no—
1616C23—21no—
1617C23—24no—
1618C23—24no—
1619C23—24no—
1620C23—21no—
1621C23—21no—
1622C23—24no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—24no—
1632C23—24no—
1633C23—48no—
1634C23—48no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23—84no—
1640C23C22×#4114yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2611yescharacteristic
1643Q8—48no—
1644Q8—48no—
1645Q8—44no—
1646Q8—44no—
1647Q8—164no—
1648D4—28no—
1649D4—44no—
1650D4—416no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—48no—
1655D4—44no—
1656D4—48no—
1657D4—48no—
1658D4—84no—
1659D4—88no—
1660D4—88no—
1661D4—88no—
1662D4—84no—
1663D4—84no—
1664D4—88no—
1665D4—88no—
1666D4—88no—
1667D4—88no—
1668D4—88no—
1669D4—88no—
1670D4—88no—
1671D4—164no—
1672D4—164no—
1673D4—164no—
1674D4—164no—
1675D4—164no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—48no—
1751C2×C4—416no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—48no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—88no—
1764C2×C4—88no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—88no—
1769C2×C4—88no—
1770C2×C4—164no—
1771C2×C4C22×#4112yes—
1772C2×C4C22×#4112yes—
1773C2×C4C22×#4114yes—
1774C2×C4C22×#4112yes—
1775C2×C4C2×H(5,𝔽2)14yes—
1776C2×C4C2×H(5,𝔽2)12yes—
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—
1784C22—24no—
1785C22—22no—
1786C22—24no—
1787C22—22no—
1788C22—24no—
1789C22—22no—
1790C22—41no—
1791C22—41no—
1792C22—42no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—44no—
1799C22—44no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—44no—
1805C22—44no—
1806C22—44no—
1807C22—44no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—41no—
1815C22—44no—
1816C22—44no—
1817C22—42no—
1818C22—41no—
1819C22—44no—
1820C22—44no—
1821C22—42no—
1822C22—44no—
1823C22—42no—
1824C22—44no—
1825C22—41no—
1826C22—816no—
1827C22C23×#4111yescharacteristic
1828C22C22×H(5,𝔽2)11yescharacteristic
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22H(7,𝔽2)11yescharacteristic
1834C4—24no—
1835C4—22no—
1836C4—24no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—42no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—41no—
1856C4—44no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—41no—
1861C4#350614yes—
1862C4#354614yes—
1863C2—44no—
1864C2—42no—
1865C2—84no—
1866C2—84no—
1867C2—81no—
1868C2—82no—
1869C2C2×#354611yescharacteristic
1870C2C2×#350611yescharacteristic
1871C2#6280011yescharacteristic
1872C2#6291211yescharacteristic
1873C2#6296611yescharacteristic
1874C2#6298311yescharacteristic
1875C2#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. #59702C2semidirect
2. #59426C2semidirect
3. #59394C2semidirect
4. #59070C2semidirect
5. #59039C2semidirect
6. #51758C2semidirect
7. #50066C2semidirect
8. #45600C2semidirect
9. #45518C2semidirect
10. #45043C2semidirect
11. #45033C2semidirect
12. #43012C2semidirect
13. #42595C2semidirect
14. #42483C2semidirect
15. #41030C2semidirect
16. #40145C2semidirect
17. #39886C2semidirect
18. #39810C2semidirect
19. #39745C2semidirect
20. #39469C2semidirect
21. #39405C2semidirect
22. #38941C2semidirect
23. #36493C2semidirect
24. #36273C2semidirect
25. #36147C2semidirect
26. #36128C2semidirect
27. #36128C2semidirect
28. #36101C2semidirect
29. #35237C2semidirect
30. #35177C2semidirect
31. #35005C2semidirect
32. #34977C2semidirect
33. #34803C2semidirect
34. #34494C2semidirect
35. C4×#546C2semidirect
36. C2×#559C22semidirect
37. C2×#555C22semidirect
44. C2×#532C22semidirect
45. C2×#532C22semidirect
49. #2867C22semidirect
51. #2857C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2855C22semidirect
56. #2850C22semidirect
60. #2825C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2796C22semidirect
66. #2778C22semidirect
67. #2760C22semidirect
68. #2759C22semidirect
69. #2752C22semidirect
70. #2751C22semidirect
71. #2749C22semidirect
72. #2737C22semidirect
73. #2717C22semidirect
75. #2714C22semidirect
76. #2712C22semidirect
77. #2712C22semidirect
78. #2710C22semidirect
82. #2703C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
86. #2686C22semidirect
89. #2676C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
95. #2665C22semidirect
97. #2640C22semidirect
98. #2639C22semidirect
101. #2631C22semidirect
104. #2610C22semidirect
105. #2610C22semidirect
106. #2602C22semidirect
108. #2595C22semidirect
110. #2591C22semidirect
111. #2578C22semidirect
112. #2567C22semidirect
113. #2567C22semidirect
116. #2563C22semidirect
118. #2559C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2555C22semidirect
123. #2551C22semidirect
124. #2548C22semidirect
125. #2548C22semidirect
126. #2548C22semidirect
128. #2544C22semidirect
136. #2540C22semidirect
138. #2537C22semidirect
141. #2535C22semidirect
142. #2533C22semidirect
144. #2523C22semidirect
145. #2514C22semidirect
146. #2514C22semidirect
147. #2513C22semidirect
149. #2510C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
153. #2500C22semidirect
154. #2499C22semidirect
155. #2497C22semidirect
157. #2496C22semidirect
158. #2494C22semidirect
160. #2492C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
166. #2485C22semidirect
167. #2471C22semidirect
168. #2469C22semidirect
170. #2465C22semidirect
172. #2459C22semidirect
173. #2457C22semidirect
176. #2456C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
183. #2444C22semidirect
184. #2439C22semidirect
185. #2439C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
214. #2422C22semidirect
216. #2420C22semidirect
217. #2416C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
224. #2407C22semidirect
228. #2401C22semidirect
230. #2388C22semidirect
231. #2377C22semidirect
232. #2377C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
247. #2361C22semidirect
251. #2355C22semidirect
252. #2355C22semidirect
256. #2349C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2347C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
265. #2331C22semidirect
268. #2328C22semidirect
269. #2325C22semidirect
270. #2325C22semidirect
271. #2324C22semidirect
273. #2319C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
280. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
293. #2293C22semidirect
297. C4×#117C22semidirect
1012. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#597022
#594262
#593942
#590702
#590392
#517582
#500662
#456002
#455182
#450432
#450332
#430122
#425952
#424832
#410302
#401452
#398862
#398102
#397452
#394692
#394052
#389412
#364932
#362732
#361472
#361282
#361012
#352372
#351772
#350052
#349772
#348032
#344942
C4×#5462