Finite Group Databasebeta

← #7671714

Subgroups — #7671714

Order 512.

5792 conjugacy classes of subgroups.

The subgroup lattice has 1817 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59984C214yesmaximal, complemented
2#59700C212yesmaximal, complemented
3#59484C212yesmaximal, complemented
4#59468C214yesmaximal, complemented
5#59076C212yesmaximal, complemented
6#59030C212yesmaximal, complemented
7#39202C211yesmaximal, characteristic, complemented
8#39193C211yesmaximal, characteristic, complemented
9#38967C211yesmaximal, characteristic, complemented
10#38957C211yesmaximal, characteristic, complemented
11#38589C214yesmaximal, complemented
12#38569C214yesmaximal, complemented
13#38219C212yesmaximal, complemented
14#38206C212yesmaximal, complemented
15#36631C211yesmaximal, characteristic, complemented
16#36587C211yesmaximal, characteristic, complemented
17#36561C211yesmaximal, characteristic, complemented
18#36373C212yesmaximal, complemented
19#36305C212yesmaximal, complemented
20#36293C212yesmaximal, complemented
21#36289C212yesmaximal, complemented
22#36203C212yesmaximal, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36107C212yesmaximal, complemented
25D4×#121C211yesmaximal, characteristic
26#35611C212yesmaximal, complemented
27#35603C212yesmaximal, complemented
28#35260C212yesmaximal, complemented
29#35198C211yesmaximal, characteristic, complemented
30#35196C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34204C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2212yescomplemented
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#542C2212yescomplemented
41C2×#529C2211yescharacteristic
42C2×#529C2212yescomplemented
43C22×#121C2212yes—
44C2×#518C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yescomplemented
47#2861C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2859C2211yescharacteristic, complemented
52#2858C2212yescomplemented
53#2858C2211yescharacteristic, complemented
54#2857C2211yescharacteristic, complemented
55#2857C2212yescomplemented
56#2856C2211yescharacteristic
57#2855C2212yescomplemented
58#2854C2212yescomplemented
59#2854C2212yescomplemented
60#2850C2212yescomplemented
61#2850C2212yescomplemented
62#2850C2212yescomplemented
63#2848C2212yescomplemented
64#2847C2212yes—
65#2800C2214yescomplemented
66#2797C2214yescomplemented
67#2788C2214yescomplemented
68#2779C2214yescomplemented
69#2757C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2750C2214yescomplemented
73#2742C2214yescomplemented
74#2736C2214yescomplemented
75#2725C2214yescomplemented
76#2723C2214yescomplemented
77#2691C2214yescomplemented
78#2685C2214yescomplemented
79#2685C2214yescomplemented
80#2685C2214yescomplemented
81#2662C2214yescomplemented
82#2649C2214yescomplemented
83#2628C2212yescomplemented
84#2625C2212yescomplemented
85#2624C2212yescomplemented
86#2620C2212yescomplemented
87#2610C2214yescomplemented
88#2602C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2595C2214yescomplemented
92#2593C2214yescomplemented
93#2587C2214yescomplemented
94#2578C2214yescomplemented
95#2572C2214yescomplemented
96#2571C2211yescharacteristic, complemented
97#2564C2214yescomplemented
98#2563C2212yes—
99#2561C2214yescomplemented
100#2559C2214yescomplemented
101#2556C2214yescomplemented
102#2551C2211yescharacteristic, complemented
103#2550C2212yescomplemented
104#2548C2212yescomplemented
105#2548C2211yescharacteristic, complemented
106#2547C2211yescharacteristic, complemented
107#2544C2212yescomplemented
108#2542C2211yescharacteristic, complemented
109#2541C2211yescharacteristic
110#2538C2211yescharacteristic, complemented
111#2537C2211yescharacteristic
112#2534C2214yescomplemented
113#2531C2214yescomplemented
114#2526C2214yescomplemented
115#2526C2214yescomplemented
116#2526C2214yescomplemented
117#2525C2214yescomplemented
118#2518C2214yescomplemented
119#2516C2214yescomplemented
120#2513C2212yescomplemented
121#2513C2212yescomplemented
122#2509C2212yescomplemented
123#2506C2212yescomplemented
124#2504C2212yescomplemented
125#2504C2212yescomplemented
126#2500C2212yescomplemented
127#2497C2212yescomplemented
128#2495C2212yescomplemented
129#2495C2212yescomplemented
130#2492C2212yescomplemented
131#2491C2212yescomplemented
132#2490C2212yescomplemented
133#2490C2214yescomplemented
134#2490C2212yescomplemented
135#2490C2214yescomplemented
136#2488C2214yescomplemented
137#2485C2212yescomplemented
138#2482C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2480C2214yescomplemented
143#2479C2214yescomplemented
144#2477C2214yescomplemented
145#2476C2214yescomplemented
146#2476C2214yescomplemented
147#2475C2214yescomplemented
148#2474C2214yescomplemented
149#2472C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2470C2214yescomplemented
154#2466C2214yescomplemented
155#2466C2214yescomplemented
156#2461C2214yescomplemented
157#2459C2214yescomplemented
158#2454C2212yes—
159#2452C2212yescomplemented
160#2452C2212yescomplemented
161#2449C2214yescomplemented
162#2448C2212yescomplemented
163#2447C2212yes—
164#2447C2212yescomplemented
165#2447C2212yescomplemented
166#2445C2212yescomplemented
167#2444C2214yescomplemented
168#2444C2214yescomplemented
169#2442C2212yescomplemented
170#2442C2212yescomplemented
171#2439C2212yescomplemented
172#2435C2212yes—
173#2435C2212yes—
174#2435C2212yes—
175#2435C2212yescomplemented
176#2428C2212yes—
177#2427C2212yescomplemented
178#2426C2212yescomplemented
179#2426C2212yescomplemented
180#2426C2212yescomplemented
181#2426C2212yescomplemented
182#2425C2214yescomplemented
183#2424C2214yes—
184#2421C2212yescomplemented
185#2420C2212yescomplemented
186#2420C2212yescomplemented
187#2418C2214yescomplemented
188#2417C2212yescomplemented
189#2416C2212yes—
190#2416C2212yes—
191#2415C2212yescomplemented
192#2415C2214yescomplemented
193#2411C2214yescomplemented
194#2410C2214yes—
195#2408C2212yes—
196#2405C2214yescomplemented
197#2373C2214yescomplemented
198#2372C2214yescomplemented
199#2367C2212yes—
200#2367C2212yescomplemented
201#2366C2211yescharacteristic, complemented
202#2365C2211yescharacteristic, complemented
203#2363C2212yescomplemented
204#2363C2214yescomplemented
205#2363C2214yescomplemented
206#2361C2212yescomplemented
207#2361C2214yescomplemented
208#2361C2212yescomplemented
209#2361C2214yescomplemented
210#2360C2212yescomplemented
211#2360C2212yescomplemented
212#2360C2212yescomplemented
213#2358C2214yescomplemented
214#2357C2212yescomplemented
215#2355C2211yescharacteristic, complemented
216#2354C2211yescharacteristic
217#2353C2214yescomplemented
218#2351C2212yescomplemented
219D4×C4⋊C4C2211yescharacteristic
220D4×C4⋊C4C2211yescharacteristic, complemented
221#2346C2212yescomplemented
222#2342C2214yescomplemented
223#2342C2214yescomplemented
224#2342C2214yescomplemented
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227D4×C22⋊C4C2212yescomplemented
228D4×C22⋊C4C2214yescomplemented
229D4×C22⋊C4C2214yescomplemented
230D4×C22⋊C4C2214yescomplemented
231#2334C2214yescomplemented
232#2324C2212yescomplemented
233#2324C2212yescomplemented
234#2324C2212yescomplemented
235#2324C2212yescomplemented
236#2324C2212yescomplemented
237#2323C2212yescomplemented
238#2321C2214yescomplemented
239#2316C2212yescomplemented
240#2314C2212yescomplemented
241#2309C2212yescomplemented
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×#127C2211yescharacteristic, complemented
244C4×#125C2211yescharacteristic, complemented
245C4×#125C2211yescharacteristic, complemented
246C4×#126C2212yescomplemented
247C4×#126C2212yescomplemented
248C4×#124C2212yes—
249C4×#124C2212yescomplemented
250C4×#124C2211yescharacteristic, complemented
251C4×#124C2211yescharacteristic, complemented
252C4×C22⋊Q8C2211yescharacteristic, complemented
253C4×C22⋊Q8C2211yescharacteristic, complemented
254C4×#123C2212yescomplemented
255C4×#123C2212yescomplemented
256C4×#121C2212yes—
257C4×#121C2211yescharacteristic
258C4×#121C2211yescharacteristic
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#121C2212yescomplemented
263#2298C2212yescomplemented
264#2295C2212yescomplemented
265#2295C2211yescharacteristic, complemented
266#2293C2211yescharacteristic
267#2293C2211yescharacteristic
268#2293C2211yescharacteristic
269#2293C2211yescharacteristic
270#2293C2212yescomplemented
271#2293C2212yescomplemented
272#2293C2211yescharacteristic, complemented
273#2293C2212yescomplemented
274#2293C2211yescharacteristic, complemented
275#2293C2211yescharacteristic, complemented
276#2293C2211yescharacteristic, complemented
277#2293C2212yescomplemented
278#2293C2212yescomplemented
279#2293C2211yescharacteristic, complemented
280#2293C2212yescomplemented
281C2×#390C2212yes—
282C2×#390C2211yescharacteristic
283C2×#390C2211yescharacteristic
284C2×#389C2211yescharacteristic, complemented
285C2×#389C2211yescharacteristic, complemented
286#2290C2212yescomplemented
287C2×#388C2212yescomplemented
288C2×#388C2212yescomplemented
289#2283C2211yescharacteristic, complemented
290#2280C2212yescomplemented
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic, complemented
294C42×D4C2212yescomplemented
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304#556—28no—
305#554—48no—
306D42—28no—
307D42—48no—
308#542—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—28no—
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121—216no—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360#518—48no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4—28no—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117—48no—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2314yes—
503#391C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#383C2312yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2414yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4—24no—
827C22×D4—28no—
828C22×D4—216no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—44no—
833C22×D4—42no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—48no—
837C22×D4—48no—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4—28no—
853C23×C4—28no—
854C23×C4—44no—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879#127—24no—
880#127—44no—
881#126—28no—
882#126—216no—
883#126—48no—
884#126—48no—
885#125—24no—
886#125—44no—
887#125—48no—
888#124—24no—
889#124—28no—
890#124—48no—
891#124—48no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—44no—
896#123—28no—
897#123—48no—
898#123—48no—
899C22⋊Q8—24no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908#121—28no—
909#121—216no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121#4118yes—
921#120—216no—
922#120—48no—
923#120—48no—
924C4×Q8—24no—
925C4×Q8—28no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4#4118yes—
954#117—28no—
955#117—28no—
956#117—28no—
957#117—28no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—48no—
966#117—44no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—28no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—216no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4—48no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42—42no—
1113C2×C42—42no—
1114C2×C42—42no—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
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#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—24no—
1217C24—24no—
1218C24—24no—
1219C24—28no—
1220C24—28no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24C2512yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2511yescharacteristic
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—432no—
1270C2×D4—416no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—816no—
1285C2×D4—832no—
1286C2×D4C2×#4114yes—
1287C2×D4C2×#4118yes—
1288C2×D4C2×#4114yes—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—28no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—432no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4C2×#4114yes—
1351C22×C4C2×#4118yes—
1352C22×C4H(5,𝔽2)14yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4C2×#4114yes—
1437C4⋊C4C2×#4114yes—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4C2×#4118yes—
1505C22⋊C4C2×#4118yes—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—24no—
1514C42—28no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—22no—
1532C42—24no—
1533C42—41no—
1534C42—41no—
1535C42—42no—
1536C42—42no—
1537C42—41no—
1538C42—41no—
1539C42—41no—
1540C42—41no—
1541C42—41no—
1542C42—41no—
1543C42—42no—
1544C42—42no—
1545C42—44no—
1546C42—44no—
1547C42—42no—
1548C42—44no—
1549C42—44no—
1550C42C2×#4114yes—
1551C42H(5,𝔽2)14yes—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—48no—
1583C23—48no—
1584C23—48no—
1585C23—416no—
1586C23—48no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—164no—
1595C23—164no—
1596C23C22×#4114yes—
1597C23C22×#4114yes—
1598C23C22×#4112yes—
1599C23C2×H(5,𝔽2)12yes—
1600C23#58512yes—
1601C23C2611yescharacteristic
1602Q8—44no—
1603Q8—48no—
1604Q8—164no—
1605D4—216no—
1606D4—28no—
1607D4—28no—
1608D4—48no—
1609D4—416no—
1610D4—416no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—84no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—164no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—28no—
1636C2×C4—216no—
1637C2×C4—28no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—48no—
1705C2×C4—48no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—164no—
1715C2×C4—164no—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4114yes—
1718C2×C4C22×#4112yes—
1719C2×C4C22×#4114yes—
1720C2×C4C22×#4112yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4112yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4#58512yes—
1729C2×C4#58512yes—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—24no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—44no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—42no—
1763C22—44no—
1764C22—816no—
1765C22—1616no—
1766C22#351414yes—
1767C22C23×#4111yescharacteristic
1768C22C23×#4111yescharacteristic
1769C22C22×H(5,𝔽2)11yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C2×#58511yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22C2×#58511yescharacteristic
1774C4—24no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—24no—
1782C4—41no—
1783C4—41no—
1784C4—44no—
1785C4—42no—
1786C4—44no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—44no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4#348114yes—
1803C4#349414yes—
1804C2—24no—
1805C2—44no—
1806C2—44no—
1807C2—82no—
1808C2—84no—
1809C2C2×#348111yescharacteristic
1810C2C2×#351411yescharacteristic
1811C2C2×#349411yescharacteristic
1812C2#6281011yescharacteristic
1813C2#6281611yescharacteristic
1814C2#6283011yescharacteristic
1815C2#6283411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59984C2semidirect
2. #59700C2semidirect
3. #59484C2semidirect
4. #59468C2semidirect
5. #59076C2semidirect
6. #59030C2semidirect
7. #39202C2semidirect
8. #39193C2semidirect
9. #38967C2semidirect
10. #38957C2semidirect
11. #38589C2semidirect
12. #38569C2semidirect
13. #38219C2semidirect
14. #38206C2semidirect
15. #36631C2semidirect
16. #36587C2semidirect
17. #36561C2semidirect
18. #36373C2semidirect
19. #36305C2semidirect
20. #36293C2semidirect
21. #36289C2semidirect
22. #36203C2semidirect
23. #36161C2semidirect
24. #36107C2semidirect
26. #35611C2semidirect
27. #35603C2semidirect
28. #35260C2semidirect
29. #35198C2semidirect
30. #35196C2semidirect
31. #34322C2semidirect
32. #34310C2semidirect
33. #34204C2semidirect
34. C4×#529C2semidirect
35. C2×#2293C2semidirect
37. C2×#554C22semidirect
40. C2×#542C22semidirect
42. C2×#529C22semidirect
44. C2×#518C22semidirect
46. C22×#117C22semidirect
47. #2861C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2859C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
57. #2855C22semidirect
58. #2854C22semidirect
59. #2854C22semidirect
60. #2850C22semidirect
61. #2850C22semidirect
62. #2850C22semidirect
63. #2848C22semidirect
65. #2800C22semidirect
66. #2797C22semidirect
67. #2788C22semidirect
68. #2779C22semidirect
69. #2757C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2750C22semidirect
73. #2742C22semidirect
74. #2736C22semidirect
75. #2725C22semidirect
76. #2723C22semidirect
77. #2691C22semidirect
78. #2685C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2662C22semidirect
82. #2649C22semidirect
83. #2628C22semidirect
84. #2625C22semidirect
85. #2624C22semidirect
86. #2620C22semidirect
87. #2610C22semidirect
88. #2602C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2595C22semidirect
92. #2593C22semidirect
93. #2587C22semidirect
94. #2578C22semidirect
95. #2572C22semidirect
96. #2571C22semidirect
97. #2564C22semidirect
99. #2561C22semidirect
100. #2559C22semidirect
101. #2556C22semidirect
102. #2551C22semidirect
103. #2550C22semidirect
104. #2548C22semidirect
105. #2548C22semidirect
106. #2547C22semidirect
107. #2544C22semidirect
108. #2542C22semidirect
110. #2538C22semidirect
112. #2534C22semidirect
113. #2531C22semidirect
114. #2526C22semidirect
115. #2526C22semidirect
116. #2526C22semidirect
117. #2525C22semidirect
118. #2518C22semidirect
119. #2516C22semidirect
120. #2513C22semidirect
121. #2513C22semidirect
122. #2509C22semidirect
123. #2506C22semidirect
124. #2504C22semidirect
125. #2504C22semidirect
126. #2500C22semidirect
127. #2497C22semidirect
128. #2495C22semidirect
129. #2495C22semidirect
130. #2492C22semidirect
131. #2491C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2488C22semidirect
137. #2485C22semidirect
138. #2482C22semidirect
139. #2481C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2480C22semidirect
143. #2479C22semidirect
144. #2477C22semidirect
145. #2476C22semidirect
146. #2476C22semidirect
147. #2475C22semidirect
148. #2474C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2470C22semidirect
154. #2466C22semidirect
155. #2466C22semidirect
156. #2461C22semidirect
157. #2459C22semidirect
159. #2452C22semidirect
160. #2452C22semidirect
161. #2449C22semidirect
162. #2448C22semidirect
164. #2447C22semidirect
165. #2447C22semidirect
166. #2445C22semidirect
167. #2444C22semidirect
168. #2444C22semidirect
169. #2442C22semidirect
170. #2442C22semidirect
171. #2439C22semidirect
175. #2435C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2425C22semidirect
184. #2421C22semidirect
185. #2420C22semidirect
186. #2420C22semidirect
187. #2418C22semidirect
188. #2417C22semidirect
191. #2415C22semidirect
192. #2415C22semidirect
193. #2411C22semidirect
196. #2405C22semidirect
197. #2373C22semidirect
198. #2372C22semidirect
200. #2367C22semidirect
201. #2366C22semidirect
202. #2365C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2361C22semidirect
207. #2361C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2360C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
213. #2358C22semidirect
214. #2357C22semidirect
215. #2355C22semidirect
217. #2353C22semidirect
218. #2351C22semidirect
220. D4×C4⋊C4C22semidirect
221. #2346C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
224. #2342C22semidirect
227. D4×C22⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. #2334C22semidirect
232. #2324C22semidirect
233. #2324C22semidirect
234. #2324C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
237. #2323C22semidirect
238. #2321C22semidirect
239. #2316C22semidirect
240. #2314C22semidirect
241. #2309C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×#127C22semidirect
244. C4×#125C22semidirect
245. C4×#125C22semidirect
246. C4×#126C22semidirect
247. C4×#126C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×#123C22semidirect
255. C4×#123C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C4×#121C22semidirect
263. #2298C22semidirect
264. #2295C22semidirect
265. #2295C22semidirect
270. #2293C22semidirect
271. #2293C22semidirect
272. #2293C22semidirect
273. #2293C22semidirect
274. #2293C22semidirect
275. #2293C22semidirect
276. #2293C22semidirect
277. #2293C22semidirect
278. #2293C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
284. C2×#389C22semidirect
285. C2×#389C22semidirect
286. #2290C22semidirect
287. C2×#388C22semidirect
288. C2×#388C22semidirect
289. #2283C22semidirect
290. #2280C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect
296. C2×C4×C4⋊C4C22semidirect
297. C2×C4×C22⋊C4C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#599842
#597002
#594842
#594682
#590762
#590302
#392022
#391932
#389672
#389572
#385892
#385692
#382192
#382062
#366312
#365872
#365612
#363732
#363052
#362932
#362892
#362032
#361612
#361072
D4×#1212
#356112
#356032
#352602
#351982
#351962
#343222
#343102
#342042
C4×#5292
C2×#22932