Finite Group Databasebeta

← #7968963

Subgroups — #7968963

Order 512.

5765 conjugacy classes of subgroups.

The subgroup lattice has 1905 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59676C212yesmaximal, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59217C211yesmaximal, characteristic, complemented
5#58999C212yesmaximal, complemented
6#48443C214yesmaximal, complemented
7#47891C214yesmaximal, complemented
8#45624C212yesmaximal, complemented
9#45515C212yesmaximal, complemented
10#45375C212yesmaximal, complemented
11#45374C212yesmaximal, complemented
12#43472C214yesmaximal, complemented
13#42539C212yesmaximal, complemented
14#42480C212yesmaximal, complemented
15#41103C214yesmaximal, complemented
16#40044C212yesmaximal, complemented
17#39932C212yesmaximal, complemented
18#39861C212yesmaximal, complemented
19#39763C211yesmaximal, characteristic, complemented
20#39537C212yesmaximal, complemented
21#39270C212yesmaximal, complemented
22#38920C211yesmaximal, characteristic, complemented
23#36468C211yesmaximal, characteristic, complemented
24#36259C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#36100C211yesmaximal, characteristic, complemented
28#36100C212yesmaximal, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#35031C212yesmaximal, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34461C212yesmaximal, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#547C2212yescomplemented
40C2×#547C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yescomplemented
44C2×#525C2212yescomplemented
45C2×#525C2212yescomplemented
46C2×C4×#41C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2212yes—
50#2859C2211yescharacteristic, complemented
51#2857C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2857C2211yescharacteristic, complemented
54#2855C2212yescomplemented
55#2854C2212yescomplemented
56#2854C2212yescomplemented
57#2848C2212yescomplemented
58#2848C2212yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2827C2214yescomplemented
62#2813C2214yes—
63#2807C2214yescomplemented
64#2807C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2800C2214yescomplemented
68#2800C2214yescomplemented
69#2797C2214yescomplemented
70#2796C2214yescomplemented
71#2790C2214yescomplemented
72#2781C2214yescomplemented
73#2778C2214yescomplemented
74#2778C2214yescomplemented
75#2771C2214yescomplemented
76#2771C2214yescomplemented
77#2761C2214yescomplemented
78#2757C2214yescomplemented
79#2757C2214yescomplemented
80#2756C2214yescomplemented
81#2756C2214yescomplemented
82#2749C2214yescomplemented
83#2735C2214yescomplemented
84#2735C2214yescomplemented
85#2718C2214yescomplemented
86#2709C2214yescomplemented
87#2708C2214yescomplemented
88#2706C2214yescomplemented
89#2685C2214yes—
90#2685C2214yes—
91#2682C2214yescomplemented
92#2678C2214yescomplemented
93#2669C2214yes—
94#2669C2214yes—
95#2668C2214yescomplemented
96#2667C2214yescomplemented
97#2649C2214yescomplemented
98#2641C2212yes—
99#2636C2214yescomplemented
100#2635C2214yes—
101#2635C2214yescomplemented
102#2624C2212yescomplemented
103#2622C2214yescomplemented
104#2613C2214yes—
105#2602C2214yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2600C2214yes—
109#2600C2214yescomplemented
110#2600C2214yescomplemented
111#2595C2214yescomplemented
112#2593C2214yescomplemented
113#2587C2214yescomplemented
114#2562C2212yes—
115#2562C2212yescomplemented
116#2562C2212yescomplemented
117#2562C2212yescomplemented
118#2562C2212yescomplemented
119#2559C2214yescomplemented
120#2552C2211yescharacteristic, complemented
121#2546C2211yescharacteristic, complemented
122#2543C2214yescomplemented
123#2542C2211yescharacteristic
124#2542C2212yescomplemented
125#2541C2212yes—
126#2540C2212yescomplemented
127#2538C2211yescharacteristic
128#2538C2211yescharacteristic, complemented
129#2538C2212yescomplemented
130#2538C2211yescharacteristic, complemented
131#2537C2211yescharacteristic
132#2537C2211yescharacteristic
133#2537C2212yescomplemented
134#2537C2211yescharacteristic, complemented
135#2537C2211yescharacteristic, complemented
136#2536C2212yescomplemented
137#2535C2212yes—
138#2535C2212yescomplemented
139#2534C2214yescomplemented
140#2522C2214yescomplemented
141#2518C2214yescomplemented
142#2514C2212yescomplemented
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2510C2214yescomplemented
146#2509C2212yescomplemented
147#2507C2212yescomplemented
148#2500C2212yescomplemented
149#2497C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yescomplemented
158#2487C2212yescomplemented
159#2487C2212yescomplemented
160#2486C2212yescomplemented
161#2486C2212yescomplemented
162#2485C2212yes—
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2479C2212yescomplemented
167#2476C2214yescomplemented
168#2471C2212yescomplemented
169#2467C2212yescomplemented
170#2464C2214yescomplemented
171#2456C2212yes—
172#2456C2214yescomplemented
173#2455C2214yes—
174#2455C2214yescomplemented
175#2455C2214yescomplemented
176#2455C2214yescomplemented
177#2455C2214yescomplemented
178#2454C2212yes—
179#2454C2211yescharacteristic, complemented
180#2448C2211yescharacteristic, complemented
181#2445C2214yescomplemented
182#2445C2214yescomplemented
183#2443C2214yescomplemented
184#2441C2211yescharacteristic, complemented
185#2432C2212yescomplemented
186#2431C2211yescharacteristic, complemented
187#2429C2212yescomplemented
188#2429C2212yescomplemented
189#2428C2212yescomplemented
190#2428C2211yescharacteristic, complemented
191#2425C2214yescomplemented
192#2423C2211yescharacteristic, complemented
193#2423C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2421C2212yescomplemented
198#2418C2214yescomplemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2416C2212yes—
203#2416C2212yes—
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2415C2212yes—
207#2415C2212yescomplemented
208#2415C2212yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yes—
213#2414C2212yes—
214#2414C2211yescharacteristic
215#2414C2212yescomplemented
216#2413C2214yescomplemented
217#2411C2214yescomplemented
218#2408C2214yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2397C2212yes—
230#2392C2212yescomplemented
231#2392C2214yescomplemented
232#2383C2214yescomplemented
233#2376C2214yescomplemented
234#2370C2212yescomplemented
235#2366C2211yescharacteristic
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yes—
239#2361C2212yes—
240#2361C2211yescharacteristic
241#2361C2211yescharacteristic
242#2361C2212yes—
243#2361C2214yescomplemented
244#2361C2214yescomplemented
245#2358C2212yes—
246#2358C2212yes—
247#2354C2211yescharacteristic, complemented
248#2354C2211yescharacteristic, complemented
249#2354C2212yescomplemented
250#2354C2211yescharacteristic, complemented
251#2352C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yescomplemented
255D4×C4⋊C4C2212yescomplemented
256D4×C4⋊C4C2214yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2211yescharacteristic, complemented
259#2347C2212yescomplemented
260#2347C2212yescomplemented
261#2345C2212yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2211yescharacteristic
265D4×C22⋊C4C2211yescharacteristic
266#2334C2214yescomplemented
267#2330C2212yescomplemented
268#2330C2212yescomplemented
269#2325C2214yescomplemented
270#2324C2212yes—
271#2324C2212yescomplemented
272#2322C2214yescomplemented
273#2321C2214yescomplemented
274#2319C2212yes—
275#2318C2214yescomplemented
276#2317C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic, complemented
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292C2×#389C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2285C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306C24×C4C2312yes—
307#553—216no—
308#550—48no—
309#547—44no—
310#547—44no—
311#547—48no—
312D42—28no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2314yes—
318#529—44no—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#124C2311yescharacteristic
325#525—48no—
326#525—48no—
327#525—48no—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#120C2312yes—
370C2×#120C2312yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4—44no—
380C2×C4×D4—44no—
381C2×C4×D4—48no—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2314yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447C22×C42C2312yes—
448#401C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2312yes—
461#399C2312yes—
462#399C2312yes—
463#399C2314yes—
464#399C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2314yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2314yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#383C2314yes—
739#383C2314yes—
740#382C2314yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2312yes—
784#379C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C25C2412yes—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—28no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4—28no—
871C23×C4—44no—
872C23×C4—44no—
873C23×C4—44no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C4⋊Q8—24no—
901C4⋊Q8—44no—
902#127—24no—
903#127—24no—
904#127—48no—
905#126—216no—
906#126—44no—
907#125—28no—
908#125—44no—
909#125—42no—
910#124—42no—
911#123—216no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—48no—
920C22⋊Q8—28no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—28no—
932#121—24no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—24no—
937#121—24no—
938#121—24no—
939#121—216no—
940#121—48no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—48no—
952#120—28no—
953#120—28no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958C4×Q8—24no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—42no—
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—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—48no—
1002C4×D4—48no—
1003C4×D4#4118yescomplemented
1004#117—28no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008#117—42no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012C2×C4⋊C4—28no—
1013C2×C4⋊C4—42no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—48no—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C22⋊C4—44no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—44no—
1161C2×C42—44no—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—24no—
1239C24—24no—
1240C24—24no—
1241C24—24no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2512yes—
1256C24C2511yescharacteristic
1257C24C2512yes—
1258C24C2511yescharacteristic
1259#41—416no—
1260#41—816no—
1261#41—816no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—432no—
1339C2×D4—416no—
1340C2×D4—416no—
1341C2×D4C2×#4114yes—
1342C2×D4H(5,𝔽2)14yes—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—28no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—41no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—816no—
1414C22×C4—816no—
1415C22×C4C2×#4118yes—
1416C22×C4H(5,𝔽2)14yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4C2×#4114yes—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—22no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—22no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—41no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4C2×#4118yes—
1580C42—28no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—24no—
1590C42—22no—
1591C42—22no—
1592C42—24no—
1593C42—42no—
1594C42—42no—
1595C42—42no—
1596C42—42no—
1597C42—41no—
1598C42—44no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42—41no—
1603C42—44no—
1604C42C2×#4114yes—
1605C42H(5,𝔽2)14yes—
1606C23—22no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—21no—
1621C23—21no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—48no—
1652C23—48no—
1653C23—48no—
1654C23—48no—
1655C23—84no—
1656C23—84no—
1657C23—84no—
1658C23—84no—
1659C23—84no—
1660C23—84no—
1661C23—84no—
1662C23—84no—
1663C23—84no—
1664C23—84no—
1665C23C22×#4114yes—
1666C23C2×H(5,𝔽2)12yes—
1667C23C2×H(5,𝔽2)14yes—
1668C23#58512yes—
1669C23C2611yescharacteristic
1670Q8—44no—
1671Q8—48no—
1672D4—28no—
1673D4—28no—
1674D4—28no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—48no—
1679D4—416no—
1680D4—48no—
1681D4—48no—
1682D4—48no—
1683D4—48no—
1684D4—48no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—84no—
1689D4—84no—
1690D4—88no—
1691D4—88no—
1692D4—84no—
1693D4—88no—
1694D4—88no—
1695D4—164no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—28no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—24no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—88no—
1782C2×C4—82no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—88no—
1793C2×C4C22×#4114yes—
1794C2×C4C22×#4112yes—
1795C2×C4C22×#4112yes—
1796C2×C4C22×#4112yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4#58512yes—
1804C22—22no—
1805C22—24no—
1806C22—24no—
1807C22—24no—
1808C22—22no—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—41no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—816no—
1854C22—816no—
1855C22C23×#4111yescharacteristic
1856C22C22×H(5,𝔽2)11yescharacteristic
1857C22C22×H(5,𝔽2)11yescharacteristic
1858C22C22×H(5,𝔽2)11yescharacteristic
1859C22C2×#58511yescharacteristic
1860C22C2×#58511yescharacteristic
1861C222−1+611yescharacteristic
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—24no—
1866C4—22no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—44no—
1873C4—44no—
1874C4—42no—
1875C4—41no—
1876C4—44no—
1877C4—42no—
1878C4—42no—
1879C4—41no—
1880C4—41no—
1881C4—44no—
1882C4—42no—
1883C4—41no—
1884C4—42no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4#350614yes—
1889C4#353714yes—
1890C2—44no—
1891C2—42no—
1892C2—44no—
1893C2—42no—
1894C2—82no—
1895C2—82no—
1896C2—82no—
1897C2C2×#353711yescharacteristic
1898C2C2×#350611yescharacteristic
1899C2#6277311yescharacteristic
1900C2#6292511yescharacteristic
1901C2#6292711yescharacteristic
1902C2#6298511yescharacteristic
1903C2#6301811yescharacteristic
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. #59676C2semidirect
3. #59228C2semidirect
4. #59217C2semidirect
5. #58999C2semidirect
6. #48443C2semidirect
7. #47891C2semidirect
8. #45624C2semidirect
9. #45515C2semidirect
10. #45375C2semidirect
11. #45374C2semidirect
12. #43472C2semidirect
13. #42539C2semidirect
14. #42480C2semidirect
15. #41103C2semidirect
16. #40044C2semidirect
17. #39932C2semidirect
18. #39861C2semidirect
19. #39763C2semidirect
20. #39537C2semidirect
21. #39270C2semidirect
22. #38920C2semidirect
23. #36468C2semidirect
24. #36259C2semidirect
25. #36210C2semidirect
26. #36100C2semidirect
27. #36100C2semidirect
28. #36100C2semidirect
29. #35236C2semidirect
30. #35176C2semidirect
31. #35031C2semidirect
32. #34935C2semidirect
33. #34727C2semidirect
34. #34461C2semidirect
35. C4×D42C2semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
42. C2×#529C22semidirect
43. C2×#525C22semidirect
44. C2×#525C22semidirect
45. C2×#525C22semidirect
46. C2×C4×#41C22semidirect
50. #2859C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2855C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
57. #2848C22semidirect
58. #2848C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2827C22semidirect
63. #2807C22semidirect
64. #2807C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2800C22semidirect
68. #2800C22semidirect
69. #2797C22semidirect
70. #2796C22semidirect
71. #2790C22semidirect
72. #2781C22semidirect
73. #2778C22semidirect
74. #2778C22semidirect
75. #2771C22semidirect
76. #2771C22semidirect
77. #2761C22semidirect
78. #2757C22semidirect
79. #2757C22semidirect
80. #2756C22semidirect
81. #2756C22semidirect
82. #2749C22semidirect
83. #2735C22semidirect
84. #2735C22semidirect
85. #2718C22semidirect
86. #2709C22semidirect
87. #2708C22semidirect
88. #2706C22semidirect
91. #2682C22semidirect
92. #2678C22semidirect
95. #2668C22semidirect
96. #2667C22semidirect
97. #2649C22semidirect
99. #2636C22semidirect
101. #2635C22semidirect
102. #2624C22semidirect
103. #2622C22semidirect
105. #2602C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
109. #2600C22semidirect
110. #2600C22semidirect
111. #2595C22semidirect
112. #2593C22semidirect
113. #2587C22semidirect
115. #2562C22semidirect
116. #2562C22semidirect
117. #2562C22semidirect
118. #2562C22semidirect
119. #2559C22semidirect
120. #2552C22semidirect
121. #2546C22semidirect
122. #2543C22semidirect
124. #2542C22semidirect
126. #2540C22semidirect
128. #2538C22semidirect
129. #2538C22semidirect
130. #2538C22semidirect
133. #2537C22semidirect
134. #2537C22semidirect
135. #2537C22semidirect
136. #2536C22semidirect
138. #2535C22semidirect
139. #2534C22semidirect
140. #2522C22semidirect
141. #2518C22semidirect
142. #2514C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
145. #2510C22semidirect
146. #2509C22semidirect
147. #2507C22semidirect
148. #2500C22semidirect
149. #2497C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2489C22semidirect
158. #2487C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2486C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2479C22semidirect
167. #2476C22semidirect
168. #2471C22semidirect
169. #2467C22semidirect
170. #2464C22semidirect
172. #2456C22semidirect
174. #2455C22semidirect
175. #2455C22semidirect
176. #2455C22semidirect
177. #2455C22semidirect
179. #2454C22semidirect
180. #2448C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2443C22semidirect
184. #2441C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2425C22semidirect
192. #2423C22semidirect
193. #2423C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2421C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
215. #2414C22semidirect
216. #2413C22semidirect
217. #2411C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2383C22semidirect
233. #2376C22semidirect
234. #2370C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2352C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2347C22semidirect
260. #2347C22semidirect
261. #2345C22semidirect
262. #2339C22semidirect
266. #2334C22semidirect
267. #2330C22semidirect
268. #2330C22semidirect
269. #2325C22semidirect
271. #2324C22semidirect
272. #2322C22semidirect
273. #2321C22semidirect
275. #2318C22semidirect
276. #2317C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#127C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
291. #2295C22semidirect
292. C2×#389C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
295. #2285C22semidirect
296. #2280C22semidirect
1003. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598152
#596762
#592282
#592172
#589992
#484432
#478912
#456242
#455152
#453752
#453742
#434722
#425392
#424802
#411032
#400442
#399322
#398612
#397632
#395372
#392702
#389202
#364682
#362592
#362102
#361002
#352362
#351762
#350312
#349352
#347272
#344612
C4×D422