Finite Group Databasebeta

← #7780323

Subgroups — #7780323

Order 512.

5429 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59548C212yesmaximal, complemented
2#59228C211yesmaximal, characteristic, complemented
3#59222C212yesmaximal, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59056C211yesmaximal, characteristic, complemented
6#59039C211yesmaximal, characteristic, complemented
7#50760C214yesmaximal, complemented
8#50468C214yesmaximal, complemented
9#47553C214yesmaximal, complemented
10#47072C214yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45655C212yesmaximal, complemented
13#45398C212yesmaximal, complemented
14#45386C212yesmaximal, complemented
15#42906C212yesmaximal, complemented
16#42736C212yesmaximal, complemented
17#40116C212yesmaximal, complemented
18#40029C212yesmaximal, complemented
19#39735C211yesmaximal, characteristic, complemented
20#39607C211yesmaximal, characteristic, complemented
21#39005C212yesmaximal, complemented
22#38942C212yesmaximal, complemented
23#37846C212yesmaximal, complemented
24#37657C212yesmaximal, complemented
25#37283C212yesmaximal, complemented
26#36596C211yesmaximal, characteristic, complemented
27#36455C211yesmaximal, characteristic, complemented
28#36411C211yesmaximal, characteristic, complemented
29#36176C211yesmaximal, characteristic, complemented
30#36160C211yesmaximal, characteristic, complemented
31#36101C211yesmaximal, characteristic, complemented
32#35292C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34391C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#537C2211yescharacteristic
41C2×#532C2211yescharacteristic, complemented
42C2×#525C2212yes—
43C2×#525C2212yes—
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic, complemented
46C22×C4×D4C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2856C2211yescharacteristic, complemented
53#2854C2212yes—
54#2854C2212yes—
55#2847C2212yes—
56#2847C2212yes—
57#2828C2214yes—
58#2828C2214yes—
59#2803C2214yes—
60#2803C2214yes—
61#2803C2214yescomplemented
62#2779C2214yescomplemented
63#2770C2214yescomplemented
64#2757C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2756C2214yescomplemented
69#2756C2214yescomplemented
70#2755C2214yescomplemented
71#2753C2214yescomplemented
72#2753C2214yescomplemented
73#2749C2214yes—
74#2749C2214yes—
75#2733C2214yescomplemented
76#2711C2214yescomplemented
77#2708C2214yescomplemented
78#2708C2214yescomplemented
79#2706C2214yescomplemented
80#2704C2214yes—
81#2703C2214yes—
82#2703C2214yes—
83#2703C2214yes—
84#2699C2214yescomplemented
85#2699C2214yescomplemented
86#2691C2214yescomplemented
87#2687C2214yescomplemented
88#2686C2214yescomplemented
89#2681C2214yescomplemented
90#2678C2214yes—
91#2678C2214yes—
92#2678C2214yes—
93#2678C2214yes—
94#2673C2214yes—
95#2673C2214yes—
96#2673C2214yescomplemented
97#2669C2214yes—
98#2669C2214yes—
99#2661C2214yescomplemented
100#2651C2214yescomplemented
101#2649C2214yescomplemented
102#2641C2214yescomplemented
103#2629C2212yes—
104#2624C2212yescomplemented
105#2619C2212yes—
106#2615C2212yes—
107#2595C2214yescomplemented
108#2593C2214yescomplemented
109#2592C2212yescomplemented
110#2580C2212yescomplemented
111#2578C2214yescomplemented
112#2571C2211yescharacteristic, complemented
113#2570C2212yescomplemented
114#2567C2211yescharacteristic, complemented
115#2563C2211yescharacteristic
116#2562C2212yescomplemented
117#2560C2214yescomplemented
118#2558C2214yescomplemented
119#2554C2214yes—
120#2554C2214yescomplemented
121#2552C2212yescomplemented
122#2552C2211yescharacteristic, complemented
123#2543C2214yescomplemented
124#2541C2211yescharacteristic
125#2541C2212yes—
126#2541C2212yes—
127#2541C2212yescomplemented
128#2541C2211yescharacteristic, complemented
129#2540C2212yes—
130#2538C2211yescharacteristic
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2537C2211yescharacteristic
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2537C2212yescomplemented
137#2537C2212yescomplemented
138#2536C2212yes—
139#2536C2212yescomplemented
140#2535C2212yes—
141#2535C2212yes—
142#2535C2212yes—
143#2534C2212yes—
144#2534C2212yes—
145#2532C2214yescomplemented
146#2531C2214yescomplemented
147#2525C2214yescomplemented
148#2525C2214yescomplemented
149#2513C2212yes—
150#2513C2212yes—
151#2513C2212yescomplemented
152#2512C2212yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2506C2212yescomplemented
156#2500C2212yes—
157#2500C2212yes—
158#2500C2212yescomplemented
159#2497C2212yes—
160#2497C2212yes—
161#2495C2212yescomplemented
162#2495C2212yescomplemented
163#2495C2212yescomplemented
164#2490C2214yescomplemented
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2488C2214yescomplemented
168#2486C2211yescharacteristic
169#2486C2211yescharacteristic
170#2486C2212yescomplemented
171#2485C2212yes—
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2474C2214yescomplemented
175#2472C2214yes—
176#2468C2214yescomplemented
177#2464C2214yes—
178#2464C2214yescomplemented
179#2463C2214yescomplemented
180#2461C2214yescomplemented
181#2459C2214yes—
182#2457C2214yes—
183#2456C2214yes—
184#2456C2214yes—
185#2453C2212yescomplemented
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yescomplemented
190#2445C2214yescomplemented
191#2444C2214yescomplemented
192#2433C2212yes—
193#2431C2214yescomplemented
194#2430C2214yescomplemented
195#2428C2212yes—
196#2428C2212yes—
197#2428C2214yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2425C2214yescomplemented
202#2424C2214yes—
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2420C2212yes—
207#2420C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2408C2212yes—
222#2408C2211yescharacteristic
223#2408C2211yescharacteristic
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2392C2212yes—
230#2392C2212yes—
231#2375C2214yes—
232#2375C2214yes—
233#2369C2211yescharacteristic, complemented
234#2366C2212yes—
235#2366C2211yescharacteristic, complemented
236#2363C2212yes—
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2212yes—
243#2357C2214yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yescomplemented
247#2354C2211yescharacteristic, complemented
248#2354C2212yescomplemented
249#2353C2214yes—
250#2352C2212yes—
251#2352C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2349C2212yescomplemented
254#2347C2212yescomplemented
255#2347C2212yescomplemented
256#2346C2212yescomplemented
257#2341C2212yescomplemented
258#2339C2212yescomplemented
259#2335C2214yescomplemented
260#2335C2214yescomplemented
261#2325C2212yes—
262#2325C2212yescomplemented
263#2324C2212yes—
264#2324C2211yescharacteristic
265#2324C2212yes—
266#2324C2212yes—
267#2324C2211yescharacteristic, complemented
268#2324C2212yescomplemented
269#2323C2212yes—
270#2323C2211yescharacteristic
271#2323C2211yescharacteristic, complemented
272#2323C2212yescomplemented
273#2319C2214yescomplemented
274#2318C2214yescomplemented
275#2316C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2296C2212yescomplemented
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296#2280C2212yes—
297#2280C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#555—44no—
306#553—48no—
307#550—44no—
308#550—48no—
309#537—28no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317C2×#127C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323#525—216no—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#120C2314yes—
378C2×#120C2312yes—
379C2×#120C2312yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C4×#41—44no—
383C4×#41—44no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4—44no—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C22⋊C4C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2312yes—
441C22×C42C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
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#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#392C2312yes—
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#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
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#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#384C2312yes—
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2314yes—
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#381C2314yes—
739#381C2314yes—
740#381C2312yes—
741#381C2312yes—
742#381C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#379C2314yes—
779#379C2312yes—
780#379C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2314yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C25C2412yes—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—82no—
833C2×#41—82no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×D4—42no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C23×C4—28no—
869C23×C4—44no—
870C23×C4—44no—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C4⋊Q8—24no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—48no—
899#127—84no—
900#126—48no—
901#125—44no—
902#125—84no—
903#124—44no—
904#124—48no—
905#123—216no—
906#123—48no—
907#123—44no—
908#123—44no—
909#123—84no—
910#123—84no—
911#123—84no—
912#123—84no—
913C22⋊Q8—28no—
914C22⋊Q8—24no—
915C22⋊Q8—28no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—82no—
919C22⋊Q8—82no—
920C22⋊Q8#4118yescomplemented
921#121—28no—
922#121—24no—
923#121—28no—
924#121—28no—
925#121—24no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—48no—
930#121—48no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—42no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—42no—
939#121—42no—
940#121—42no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—84no—
952#121—82no—
953#121—84no—
954#121—84no—
955#121—84no—
956#121—82no—
957#120—216no—
958#120—44no—
959#120—44no—
960#120—84no—
961#120—84no—
962C4×Q8—24no—
963C4×Q8—42no—
964C4×Q8—42no—
965C4×Q8—42no—
966C4×Q8—44no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—216no—
970C4×D4—216no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—48no—
998#117—28no—
999#117—42no—
1000#117—42no—
1001#117—42no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006#117—42no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—42no—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42—44no—
1151C2×C42—44no—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228C24—24no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24C2512yes—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241C24C2511yescharacteristic
1242#41—416no—
1243#41—416no—
1244#41—816no—
1245#41—816no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—41no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8C2×#4114yes—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—42no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—41no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—42no—
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—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—416no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—816no—
1405C22×C4C2×#4114yes—
1406C22×C4H(5,𝔽2)14yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2514yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—42no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—42no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4C2×#4114yes—
1491C4⋊C4C2×#4118yes—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—42no—
1517C22⋊C4—41no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4C2×#4118yes—
1568C42—28no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—42no—
1584C42—42no—
1585C42—42no—
1586C42—42no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—44no—
1592C42—44no—
1593C42H(5,𝔽2)14yes—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—24no—
1615C23—22no—
1616C23—22no—
1617C23—21no—
1618C23—24no—
1619C23—21no—
1620C23—22no—
1621C23—21no—
1622C23—24no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—21no—
1637C23—22no—
1638C23—24no—
1639C23—21no—
1640C23—22no—
1641C23—48no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23—84no—
1647C23—84no—
1648C23C22×#4112yes—
1649C23C2×H(5,𝔽2)12yes—
1650C23C2611yescharacteristic
1651Q8—28no—
1652Q8—44no—
1653Q8—84no—
1654D4—44no—
1655D4—44no—
1656D4—48no—
1657D4—44no—
1658D4—48no—
1659D4—44no—
1660D4—48no—
1661D4—48no—
1662D4—44no—
1663D4—44no—
1664D4—84no—
1665D4—88no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—88no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—84no—
1674D4—88no—
1675D4—84no—
1676D4—88no—
1677D4—164no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—28no—
1693C2×C4—28no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—84no—
1767C2×C4—82no—
1768C2×C4—82no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—88no—
1776C2×C4—164no—
1777C2×C4C22×#4114yes—
1778C2×C4C22×#4112yes—
1779C2×C4C22×#4114yes—
1780C2×C4C22×#4112yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4#58512yes—
1787C2×C4#58512yes—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—44no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—41no—
1821C22—44no—
1822C22—41no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—44no—
1835C22—42no—
1836C22—42no—
1837C22—816no—
1838C22C23×#4111yescharacteristic
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C22×H(5,𝔽2)11yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22C2×#58511yescharacteristic
1843C22H(7,𝔽2)11yescharacteristic
1844C22H(7,𝔽2)11yescharacteristic
1845C4—24no—
1846C4—22no—
1847C4—22no—
1848C4—24no—
1849C4—22no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—41no—
1854C4—42no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—44no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—44no—
1870C4—42no—
1871C4#351914yes—
1872C4#353914yes—
1873C2—42no—
1874C2—42no—
1875C2—81no—
1876C2—82no—
1877C2—84no—
1878C2—82no—
1879C2—82no—
1880C2C2×#353911yescharacteristic
1881C2C2×#351911yescharacteristic
1882C2#6287411yescharacteristic
1883C2#6293011yescharacteristic
1884C2#6295511yescharacteristic
1885C2#6299411yescharacteristic
1886C2#6300611yescharacteristic
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. #59548C2semidirect
2. #59228C2semidirect
3. #59222C2semidirect
4. #59211C2semidirect
5. #59056C2semidirect
6. #59039C2semidirect
7. #50760C2semidirect
8. #50468C2semidirect
9. #47553C2semidirect
10. #47072C2semidirect
11. #45655C2semidirect
12. #45655C2semidirect
13. #45398C2semidirect
14. #45386C2semidirect
15. #42906C2semidirect
16. #42736C2semidirect
17. #40116C2semidirect
18. #40029C2semidirect
19. #39735C2semidirect
20. #39607C2semidirect
21. #39005C2semidirect
22. #38942C2semidirect
23. #37846C2semidirect
24. #37657C2semidirect
25. #37283C2semidirect
26. #36596C2semidirect
27. #36455C2semidirect
28. #36411C2semidirect
29. #36176C2semidirect
30. #36160C2semidirect
31. #36101C2semidirect
32. #35292C2semidirect
33. #34935C2semidirect
34. #34391C2semidirect
35. C4×#537C2semidirect
37. C2×#553C22semidirect
39. C2×#550C22semidirect
41. C2×#532C22semidirect
45. C2×C4×#41C22semidirect
48. #2857C22semidirect
52. #2856C22semidirect
61. #2803C22semidirect
62. #2779C22semidirect
63. #2770C22semidirect
64. #2757C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2756C22semidirect
69. #2756C22semidirect
70. #2755C22semidirect
71. #2753C22semidirect
72. #2753C22semidirect
75. #2733C22semidirect
76. #2711C22semidirect
77. #2708C22semidirect
78. #2708C22semidirect
79. #2706C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
86. #2691C22semidirect
87. #2687C22semidirect
88. #2686C22semidirect
89. #2681C22semidirect
96. #2673C22semidirect
99. #2661C22semidirect
100. #2651C22semidirect
101. #2649C22semidirect
102. #2641C22semidirect
104. #2624C22semidirect
107. #2595C22semidirect
108. #2593C22semidirect
109. #2592C22semidirect
110. #2580C22semidirect
111. #2578C22semidirect
112. #2571C22semidirect
113. #2570C22semidirect
114. #2567C22semidirect
116. #2562C22semidirect
117. #2560C22semidirect
118. #2558C22semidirect
120. #2554C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2543C22semidirect
127. #2541C22semidirect
128. #2541C22semidirect
136. #2537C22semidirect
137. #2537C22semidirect
139. #2536C22semidirect
145. #2532C22semidirect
146. #2531C22semidirect
147. #2525C22semidirect
148. #2525C22semidirect
151. #2513C22semidirect
152. #2512C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2506C22semidirect
158. #2500C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
163. #2495C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2488C22semidirect
170. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2474C22semidirect
176. #2468C22semidirect
178. #2464C22semidirect
179. #2463C22semidirect
180. #2461C22semidirect
185. #2453C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2444C22semidirect
193. #2431C22semidirect
194. #2430C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2425C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
207. #2420C22semidirect
208. #2416C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
233. #2369C22semidirect
235. #2366C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
251. #2352C22semidirect
252. Q8×C4⋊C4C22semidirect
253. #2349C22semidirect
254. #2347C22semidirect
255. #2347C22semidirect
256. #2346C22semidirect
257. #2341C22semidirect
258. #2339C22semidirect
259. #2335C22semidirect
260. #2335C22semidirect
262. #2325C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
271. #2323C22semidirect
272. #2323C22semidirect
273. #2319C22semidirect
274. #2318C22semidirect
275. #2316C22semidirect
277. #2311C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2296C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
298. C2×C4×C4⋊C4C22semidirect
920. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595482
#592282
#592222
#592112
#590562
#590392
#507602
#504682
#475532
#470722
#456552
#453982
#453862
#429062
#427362
#401162
#400292
#397352
#396072
#390052
#389422
#378462
#376572
#372832
#365962
#364552
#364112
#361762
#361602
#361012
#352922
#349352
#343912
C4×#5372