Finite Group Databasebeta

← #7671904

Subgroups — #7671904

Order 512.

5744 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59314C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59288C212yesmaximal, complemented
6#59273C212yesmaximal, complemented
7#59235C211yesmaximal, characteristic, complemented
8#59233C211yesmaximal, characteristic, complemented
9#59220C211yesmaximal, characteristic, complemented
10#59218C211yesmaximal, characteristic, complemented
11#59199C212yesmaximal, complemented
12#59013C212yesmaximal, complemented
13#39926C212yesmaximal, complemented
14#39902C212yesmaximal, complemented
15#38400C214yesmaximal, complemented
16#37997C214yesmaximal, complemented
17#37904C214yesmaximal, complemented
18#36621C211yesmaximal, characteristic, complemented
19#36518C212yesmaximal, complemented
20#36254C212yesmaximal, complemented
21#36222C214yesmaximal, complemented
22#36207C212yesmaximal, complemented
23#36183C212yesmaximal, complemented
24#36157C212yesmaximal, complemented
25#36154C212yesmaximal, complemented
26#35591C212yesmaximal, complemented
27#35553C212yesmaximal, complemented
28#35239C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35230C212yesmaximal, complemented
31#34305C212yesmaximal, complemented
32#34243C211yesmaximal, characteristic, complemented
33#34194C211yesmaximal, characteristic, complemented
34C2×C4×#121C211yesmaximal, characteristic, complemented
35C2×#2285C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#553C2212yes—
38C2×#553C2212yescomplemented
39C2×#551C2214yes—
40C2×#529C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2212yes—
44C22×#117C2212yes—
45C23×C42C2211yescharacteristic
46#2857C2212yes—
47#2855C2211yescharacteristic
48#2854C2211yescharacteristic
49#2853C2212yes—
50#2852C2212yescomplemented
51#2852C2212yescomplemented
52#2852C2214yescomplemented
53#2851C2212yes—
54#2851C2211yescharacteristic, complemented
55#2851C2211yescharacteristic, complemented
56#2850C2211yescharacteristic, complemented
57#2850C2211yescharacteristic, complemented
58#2850C2214yescomplemented
59#2849C2212yes—
60#2848C2211yescharacteristic
61#2848C2212yes—
62#2847C2211yescharacteristic
63#2847C2212yes—
64#2793C2214yescomplemented
65#2785C2214yescomplemented
66#2783C2214yescomplemented
67#2782C2214yescomplemented
68#2773C2214yescomplemented
69#2767C2214yescomplemented
70#2748C2214yescomplemented
71#2744C2214yescomplemented
72#2742C2214yescomplemented
73#2723C2214yescomplemented
74#2720C2214yescomplemented
75#2718C2214yescomplemented
76#2718C2214yescomplemented
77#2706C2214yescomplemented
78#2703C2214yes—
79#2691C2214yes—
80#2666C2214yescomplemented
81#2651C2214yescomplemented
82#2650C2214yescomplemented
83#2636C2214yescomplemented
84#2610C2214yescomplemented
85#2609C2214yescomplemented
86#2601C2214yescomplemented
87#2598C2214yescomplemented
88#2596C2214yescomplemented
89#2575C2214yescomplemented
90#2575C2214yescomplemented
91#2571C2211yescharacteristic, complemented
92#2570C2212yescomplemented
93#2570C2212yescomplemented
94#2564C2214yes—
95#2564C2214yescomplemented
96#2563C2212yescomplemented
97#2563C2212yescomplemented
98#2562C2212yescomplemented
99#2562C2212yescomplemented
100#2560C2214yescomplemented
101#2558C2214yescomplemented
102#2553C2214yescomplemented
103#2552C2211yescharacteristic, complemented
104#2552C2211yescharacteristic, complemented
105#2551C2211yescharacteristic, complemented
106#2550C2212yescomplemented
107#2543C2214yes—
108#2542C2212yescomplemented
109#2540C2212yescomplemented
110#2538C2212yescomplemented
111#2538C2211yescharacteristic, complemented
112#2538C2211yescharacteristic, complemented
113#2537C2211yescharacteristic, complemented
114#2537C2211yescharacteristic, complemented
115#2535C2212yes—
116#2535C2212yescomplemented
117#2533C2214yescomplemented
118#2521C2214yescomplemented
119#2519C2214yescomplemented
120#2517C2214yescomplemented
121#2515C2214yescomplemented
122#2512C2212yescomplemented
123#2512C2212yescomplemented
124#2508C2212yescomplemented
125#2506C2212yescomplemented
126#2505C2214yes—
127#2505C2214yescomplemented
128#2504C2212yes—
129#2501C2212yescomplemented
130#2501C2212yescomplemented
131#2499C2212yescomplemented
132#2498C2214yes—
133#2497C2212yescomplemented
134#2497C2212yescomplemented
135#2496C2212yescomplemented
136#2496C2212yescomplemented
137#2496C2212yescomplemented
138#2496C2212yescomplemented
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2491C2212yescomplemented
142#2491C2212yescomplemented
143#2490C2212yes—
144#2489C2212yescomplemented
145#2488C2214yescomplemented
146#2487C2212yes—
147#2487C2212yescomplemented
148#2487C2212yescomplemented
149#2487C2212yescomplemented
150#2487C2212yescomplemented
151#2487C2212yescomplemented
152#2485C2212yescomplemented
153#2482C2214yes—
154#2481C2214yes—
155#2481C2214yescomplemented
156#2480C2214yes—
157#2479C2214yescomplemented
158#2479C2214yescomplemented
159#2477C2214yescomplemented
160#2471C2214yescomplemented
161#2471C2214yescomplemented
162#2467C2214yescomplemented
163#2461C2214yescomplemented
164#2457C2214yescomplemented
165#2454C2214yescomplemented
166#2450C2214yescomplemented
167#2450C2214yescomplemented
168#2449C2214yescomplemented
169#2444C2214yes—
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2443C2214yescomplemented
173#2442C2214yes—
174#2442C2212yes—
175#2441C2212yescomplemented
176#2441C2212yescomplemented
177#2440C2212yes—
178#2440C2212yescomplemented
179#2440C2212yescomplemented
180#2438C2214yes—
181#2437C2214yes—
182#2437C2214yes—
183#2423C2212yescomplemented
184#2422C2212yescomplemented
185#2422C2212yescomplemented
186#2420C2212yes—
187#2418C2214yes—
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2416C2212yes—
191#2416C2212yescomplemented
192#2414C2212yes—
193#2414C2212yescomplemented
194#2412C2214yes—
195#2411C2214yes—
196#2410C2214yes—
197#2408C2212yes—
198#2373C2214yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2367C2212yescomplemented
202#2364C2214yescomplemented
203#2362C2212yescomplemented
204#2361C2212yes—
205#2361C2212yescomplemented
206#2361C2212yescomplemented
207#2359C2214yes—
208#2359C2214yescomplemented
209#2358C2214yes—
210#2355C2211yescharacteristic, complemented
211#2354C2212yescomplemented
212#2354C2211yescharacteristic, complemented
213#2354C2211yescharacteristic, complemented
214#2354C2211yescharacteristic, complemented
215#2352C2212yes—
216#2352C2212yescomplemented
217#2352C2212yescomplemented
218#2352C2212yescomplemented
219Q8×C4⋊C4C2211yescharacteristic, complemented
220#2349C2214yescomplemented
221D4×C4⋊C4C2212yes—
222D4×C4⋊C4C2212yescomplemented
223D4×C4⋊C4C2212yescomplemented
224D4×C4⋊C4C2211yescharacteristic, complemented
225D4×C4⋊C4C2211yescharacteristic, complemented
226D4×C4⋊C4C2211yescharacteristic, complemented
227#2346C2212yescomplemented
228#2346C2212yescomplemented
229#2345C2212yes—
230#2345C2212yescomplemented
231#2344C2212yescomplemented
232#2343C2214yes—
233#2342C2214yes—
234D4×C22⋊C4C2214yes—
235D4×C22⋊C4C2212yes—
236#2335C2214yescomplemented
237#2334C2214yescomplemented
238#2334C2214yescomplemented
239#2331C2212yescomplemented
240#2330C2212yescomplemented
241#2324C2212yescomplemented
242#2324C2212yescomplemented
243#2319C2212yescomplemented
244#2318C2214yescomplemented
245#2314C2212yescomplemented
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2211yescharacteristic, complemented
248C4×C22⋊Q8C2211yescharacteristic, complemented
249C4×#123C2212yes—
250C4×#121C2211yescharacteristic
251C4×#121C2211yescharacteristic
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2211yescharacteristic
255C4×#121C2211yescharacteristic
256C4×#121C2212yes—
257C4×#121C2211yescharacteristic
258C4×#121C2212yes—
259C4×#121C2211yescharacteristic
260C4×#121C2211yescharacteristic
261C4×#121C2212yes—
262C4×#121C2211yescharacteristic
263C4×#121C2214yescomplemented
264C4×#121C2211yescharacteristic, complemented
265C4×#121C2211yescharacteristic, complemented
266C4×#120C2212yes—
267C2×#390C2211yescharacteristic
268C2×#389C2211yescharacteristic
269#2290C2212yescomplemented
270#2290C2214yescomplemented
271#2290C2212yescomplemented
272C2×#388C2212yes—
273C2×#386C2212yes—
274#2285C2212yes—
275#2285C2212yes—
276#2285C2212yes—
277#2285C2211yescharacteristic
278#2285C2211yescharacteristic
279#2285C2212yescomplemented
280#2285C2211yescharacteristic, complemented
281#2285C2211yescharacteristic, complemented
282#2285C2212yescomplemented
283#2285C2212yescomplemented
284C2×#384C2211yescharacteristic, complemented
285C2×#384C2211yescharacteristic, complemented
286#2283C2211yescharacteristic
287C2×#382C2212yescomplemented
288#2280C2212yes—
289C2×#380C2212yes—
290C2×#380C2212yes—
291C2×#380C2211yescharacteristic
292C2×#380C2212yes—
293#2275C2212yescomplemented
294#2274C2212yescomplemented
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yescomplemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#554—48no—
306#553—216no—
307#553—48no—
308#551—416no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×#121—28no—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#120C2312yes—
355C2×#120C2314yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×D4—28no—
359C2×C4×D4—48no—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×#117—48no—
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C42—28no—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2314yes—
431C22×C42C2312yes—
432C22×C42C2311yescharacteristic
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#383C2312yes—
697#383C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#379C2312yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2314yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C25C2412yes—
821C25C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×D4—28no—
825C22×D4—24no—
826C22×D4—28no—
827C22×D4—24no—
828C22×D4—42no—
829C22×D4—44no—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—28no—
851C23×C4—42no—
852C23×C4—42no—
853C23×C4—44no—
854C23×C4—44no—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888#126—216no—
889#126—28no—
890#126—48no—
891#126—48no—
892#126—48no—
893#125—28no—
894#125—24no—
895#125—44no—
896#125—48no—
897#124—24no—
898#124—48no—
899#123—28no—
900#123—28no—
901#123—216no—
902#123—48no—
903#123—48no—
904#123—48no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—24no—
915#121—28no—
916#121—28no—
917#121—216no—
918#121—24no—
919#121—24no—
920#121—24no—
921#121—24no—
922#121—28no—
923#121—44no—
924#121—44no—
925#121—42no—
926#121—44no—
927#121—48no—
928#121#4118yes—
929#120—28no—
930#120—48no—
931C4×Q8—24no—
932C4×Q8—44no—
933C4×D4—216no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—48no—
959#117—216no—
960#117—28no—
961#117—28no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—44no—
966#117—44no—
967#117—48no—
968#117—44no—
969#117—44no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4—28no—
1047C2×C22⋊C4—28no—
1048C2×C22⋊C4—28no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—48no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—48no—
1125C2×C42—44no—
1126C2×C42#4118yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—24no—
1224C24—24no—
1225C24—24no—
1226C24—24no—
1227C24—41no—
1228C24—41no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C242−1+414yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237C24C2511yescharacteristic
1238C24C2511yescharacteristic
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—416no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—432no—
1284C2×D4C2×#4118yes—
1285C2×D4C2×#4114yes—
1286C22×C4—232no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—28no—
1318C22×C4—28no—
1319C22×C4—24no—
1320C22×C4—28no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—42no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—416no—
1355C22×C4—416no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—816no—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4C2×#4114yes—
1381C22×C4H(5,𝔽2)14yes—
1382C22×C4H(5,𝔽2)14yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2514yes—
1393C22×C4C2514yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4C2×#4114yes—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
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—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4C2×#4118yes—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—28no—
1549C42—24no—
1550C42—28no—
1551C42—28no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—44no—
1556C42—44no—
1557C42—42no—
1558C42—42no—
1559C42—44no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C42C2×#4114yes—
1564C42C2×#4114yes—
1565C42C2×#4114yes—
1566C42C2×#4114yes—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—28no—
1588C23—28no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—48no—
1609C23—48no—
1610C23—48no—
1611C23—48no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23C22×#4114yes—
1616C23C22×#4112yes—
1617C23C22×#4112yes—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2×H(5,𝔽2)12yes—
1620C23C2×2−1+412yes—
1621C23C2×2−1+412yes—
1622C23C2×2−1+412yes—
1623C23C2611yescharacteristic
1624Q8—44no—
1625Q8—164no—
1626D4—216no—
1627D4—28no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—44no—
1635D4—44no—
1636D4—88no—
1637D4—84no—
1638D4—164no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—28no—
1642C2×C4—28no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—28no—
1662C2×C4—28no—
1663C2×C4—28no—
1664C2×C4—28no—
1665C2×C4—28no—
1666C2×C4—28no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—88no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—164no—
1741C2×C4—164no—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C22×#4114yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4112yes—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4112yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4#58512yes—
1756C2×C4#58512yes—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—24no—
1771C22—22no—
1772C22—24no—
1773C22—22no—
1774C22—24no—
1775C22—416no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—816no—
1799C22#349214yes—
1800C22#352014yes—
1801C22C23×#4111yescharacteristic
1802C22C23×#4111yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C22×2−1+411yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—24no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—44no—
1825C4—42no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—44no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4#347514yes—
1836C4#349414yes—
1837C2—24no—
1838C2—24no—
1839C2—42no—
1840C2—44no—
1841C2—82no—
1842C2—82no—
1843C2C2×#347511yescharacteristic
1844C2C2×#349211yescharacteristic
1845C2C2×#352011yescharacteristic
1846C2C2×#349411yescharacteristic
1847C2#6280011yescharacteristic
1848C2#6282311yescharacteristic
1849C2#6283411yescharacteristic
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. #59314C2semidirect
2. #59304C2semidirect
3. #59304C2semidirect
4. #59302C2semidirect
5. #59288C2semidirect
6. #59273C2semidirect
7. #59235C2semidirect
8. #59233C2semidirect
9. #59220C2semidirect
10. #59218C2semidirect
11. #59199C2semidirect
12. #59013C2semidirect
13. #39926C2semidirect
14. #39902C2semidirect
15. #38400C2semidirect
16. #37997C2semidirect
17. #37904C2semidirect
18. #36621C2semidirect
19. #36518C2semidirect
20. #36254C2semidirect
21. #36222C2semidirect
22. #36207C2semidirect
23. #36183C2semidirect
24. #36157C2semidirect
25. #36154C2semidirect
26. #35591C2semidirect
27. #35553C2semidirect
28. #35239C2semidirect
29. #35236C2semidirect
30. #35230C2semidirect
31. #34305C2semidirect
32. #34243C2semidirect
33. #34194C2semidirect
34. C2×C4×#121C2semidirect
35. C2×#2285C2semidirect
36. C2×#554C22semidirect
38. C2×#553C22semidirect
50. #2852C22semidirect
51. #2852C22semidirect
52. #2852C22semidirect
54. #2851C22semidirect
55. #2851C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2850C22semidirect
64. #2793C22semidirect
65. #2785C22semidirect
66. #2783C22semidirect
67. #2782C22semidirect
68. #2773C22semidirect
69. #2767C22semidirect
70. #2748C22semidirect
71. #2744C22semidirect
72. #2742C22semidirect
73. #2723C22semidirect
74. #2720C22semidirect
75. #2718C22semidirect
76. #2718C22semidirect
77. #2706C22semidirect
80. #2666C22semidirect
81. #2651C22semidirect
82. #2650C22semidirect
83. #2636C22semidirect
84. #2610C22semidirect
85. #2609C22semidirect
86. #2601C22semidirect
87. #2598C22semidirect
88. #2596C22semidirect
89. #2575C22semidirect
90. #2575C22semidirect
91. #2571C22semidirect
92. #2570C22semidirect
93. #2570C22semidirect
95. #2564C22semidirect
96. #2563C22semidirect
97. #2563C22semidirect
98. #2562C22semidirect
99. #2562C22semidirect
100. #2560C22semidirect
101. #2558C22semidirect
102. #2553C22semidirect
103. #2552C22semidirect
104. #2552C22semidirect
105. #2551C22semidirect
106. #2550C22semidirect
108. #2542C22semidirect
109. #2540C22semidirect
110. #2538C22semidirect
111. #2538C22semidirect
112. #2538C22semidirect
113. #2537C22semidirect
114. #2537C22semidirect
116. #2535C22semidirect
117. #2533C22semidirect
118. #2521C22semidirect
119. #2519C22semidirect
120. #2517C22semidirect
121. #2515C22semidirect
122. #2512C22semidirect
123. #2512C22semidirect
124. #2508C22semidirect
125. #2506C22semidirect
127. #2505C22semidirect
129. #2501C22semidirect
130. #2501C22semidirect
131. #2499C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
137. #2496C22semidirect
138. #2496C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
144. #2489C22semidirect
145. #2488C22semidirect
147. #2487C22semidirect
148. #2487C22semidirect
149. #2487C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2485C22semidirect
155. #2481C22semidirect
157. #2479C22semidirect
158. #2479C22semidirect
159. #2477C22semidirect
160. #2471C22semidirect
161. #2471C22semidirect
162. #2467C22semidirect
163. #2461C22semidirect
164. #2457C22semidirect
165. #2454C22semidirect
166. #2450C22semidirect
167. #2450C22semidirect
168. #2449C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2443C22semidirect
175. #2441C22semidirect
176. #2441C22semidirect
178. #2440C22semidirect
179. #2440C22semidirect
183. #2423C22semidirect
184. #2422C22semidirect
185. #2422C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
191. #2416C22semidirect
193. #2414C22semidirect
198. #2373C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2367C22semidirect
202. #2364C22semidirect
203. #2362C22semidirect
205. #2361C22semidirect
206. #2361C22semidirect
208. #2359C22semidirect
210. #2355C22semidirect
211. #2354C22semidirect
212. #2354C22semidirect
213. #2354C22semidirect
214. #2354C22semidirect
216. #2352C22semidirect
217. #2352C22semidirect
218. #2352C22semidirect
219. Q8×C4⋊C4C22semidirect
220. #2349C22semidirect
222. D4×C4⋊C4C22semidirect
223. D4×C4⋊C4C22semidirect
224. D4×C4⋊C4C22semidirect
225. D4×C4⋊C4C22semidirect
226. D4×C4⋊C4C22semidirect
227. #2346C22semidirect
228. #2346C22semidirect
230. #2345C22semidirect
231. #2344C22semidirect
236. #2335C22semidirect
237. #2334C22semidirect
238. #2334C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2324C22semidirect
242. #2324C22semidirect
243. #2319C22semidirect
244. #2318C22semidirect
245. #2314C22semidirect
247. C4×C22⋊Q8C22semidirect
248. C4×C22⋊Q8C22semidirect
263. C4×#121C22semidirect
264. C4×#121C22semidirect
265. C4×#121C22semidirect
269. #2290C22semidirect
270. #2290C22semidirect
271. #2290C22semidirect
279. #2285C22semidirect
280. #2285C22semidirect
281. #2285C22semidirect
282. #2285C22semidirect
283. #2285C22semidirect
284. C2×#384C22semidirect
285. C2×#384C22semidirect
287. C2×#382C22semidirect
293. #2275C22semidirect
294. #2274C22semidirect
296. C2×C4×C4⋊C4C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#593142
#593042
#593022
#592882
#592732
#592352
#592332
#592202
#592182
#591992
#590132
#399262
#399022
#384002
#379972
#379042
#366212
#365182
#362542
#362222
#362072
#361832
#361572
#361542
#355912
#355532
#352392
#352362
#352302
#343052
#342432
#341942
C2×C4×#1212
C2×#22852