Finite Group Databasebeta

← #7672742

Subgroups — #7672742

Order 512.

6076 conjugacy classes of subgroups.

The subgroup lattice has 1895 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59882C214yesmaximal, complemented
2#59881C214yesmaximal, complemented
3#59301C214yesmaximal, complemented
4#59133C214yesmaximal, complemented
5#39563C212yesmaximal, complemented
6#39562C212yesmaximal, complemented
7#39561C212yesmaximal, complemented
8#39560C212yesmaximal, complemented
9#38117C212yesmaximal, complemented
10#38116C212yesmaximal, complemented
11#38111C212yesmaximal, complemented
12#38110C212yesmaximal, complemented
13C2×#2857C211yesmaximal, characteristic, complemented
14#36381C212yesmaximal, complemented
15#36368C212yesmaximal, complemented
16#36277C212yesmaximal, complemented
17#36262C212yesmaximal, complemented
18#36204C212yesmaximal, complemented
19#36203C212yesmaximal, complemented
20#36190C212yesmaximal, complemented
21#36183C212yesmaximal, complemented
22#35592C211yesmaximal, characteristic, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35557C211yesmaximal, characteristic, complemented
25#35530C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic
30#34267C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34180C211yesmaximal, characteristic, complemented
33#34175C211yesmaximal, characteristic, complemented
34C4×#525C211yesmaximal, characteristic, complemented
35C2×#2297C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#551C2214yes—
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic, complemented
41C2×#525C2211yescharacteristic
42C22×C22⋊Q8C2212yes—
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic, complemented
46C22×#117C2211yescharacteristic
47C23×C42C2211yescharacteristic
48#2863C2212yescomplemented
49#2860C2212yescomplemented
50#2857C2212yes—
51#2857C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yescomplemented
55#2857C2212yescomplemented
56#2857C2212yescomplemented
57#2857C2212yescomplemented
58#2855C2212yes—
59#2855C2212yescomplemented
60#2854C2212yes—
61#2854C2212yescomplemented
62#2848C2212yes—
63#2847C2212yes—
64#2799C2214yescomplemented
65#2798C2214yescomplemented
66#2796C2214yescomplemented
67#2786C2214yescomplemented
68#2778C2214yescomplemented
69#2759C2214yescomplemented
70#2756C2214yescomplemented
71#2755C2214yescomplemented
72#2751C2214yescomplemented
73#2750C2214yescomplemented
74#2730C2214yescomplemented
75#2730C2214yescomplemented
76#2728C2214yescomplemented
77#2723C2214yescomplemented
78#2705C2214yescomplemented
79#2696C2214yescomplemented
80#2645C2212yescomplemented
81#2644C2212yescomplemented
82#2625C2212yescomplemented
83#2625C2212yescomplemented
84#2624C2212yescomplemented
85#2624C2212yescomplemented
86#2616C2212yes—
87#2615C2212yes—
88#2607C2214yescomplemented
89#2605C2214yescomplemented
90#2602C2214yescomplemented
91#2601C2214yescomplemented
92#2591C2214yescomplemented
93#2589C2214yescomplemented
94#2588C2214yescomplemented
95#2579C2214yescomplemented
96#2578C2214yescomplemented
97#2574C2214yescomplemented
98#2573C2214yescomplemented
99#2572C2214yescomplemented
100#2569C2214yes—
101#2564C2214yes—
102#2561C2214yes—
103#2560C2214yescomplemented
104#2560C2214yescomplemented
105#2557C2214yescomplemented
106#2553C2214yescomplemented
107#2534C2214yes—
108#2531C2214yescomplemented
109#2527C2214yescomplemented
110#2526C2214yescomplemented
111#2523C2214yescomplemented
112#2522C2214yescomplemented
113#2521C2214yescomplemented
114#2518C2214yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2510C2214yescomplemented
120#2505C2214yescomplemented
121#2502C2212yescomplemented
122#2501C2212yescomplemented
123#2500C2212yescomplemented
124#2499C2212yescomplemented
125#2498C2214yes—
126#2498C2214yescomplemented
127#2497C2212yescomplemented
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2496C2212yescomplemented
131#2496C2212yescomplemented
132#2496C2212yescomplemented
133#2495C2212yescomplemented
134#2494C2212yescomplemented
135#2493C2214yes—
136#2492C2212yescomplemented
137#2492C2212yescomplemented
138#2492C2212yescomplemented
139#2492C2212yescomplemented
140#2491C2212yescomplemented
141#2491C2212yescomplemented
142#2491C2212yescomplemented
143#2491C2212yescomplemented
144#2488C2214yes—
145#2488C2214yescomplemented
146#2487C2212yes—
147#2486C2212yes—
148#2485C2212yescomplemented
149#2485C2212yescomplemented
150#2481C2214yescomplemented
151#2481C2214yescomplemented
152#2481C2214yescomplemented
153#2480C2214yes—
154#2477C2214yescomplemented
155#2472C2214yes—
156#2467C2214yescomplemented
157#2463C2214yescomplemented
158#2461C2214yescomplemented
159#2457C2214yescomplemented
160#2452C2212yescomplemented
161#2452C2212yescomplemented
162#2451C2212yescomplemented
163#2451C2212yescomplemented
164#2444C2214yescomplemented
165#2443C2214yescomplemented
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2440C2212yescomplemented
169#2440C2212yescomplemented
170#2439C2212yescomplemented
171#2439C2212yescomplemented
172#2438C2214yes—
173#2437C2214yes—
174#2436C2214yescomplemented
175#2430C2214yes—
176#2423C2212yescomplemented
177#2423C2212yescomplemented
178#2423C2212yescomplemented
179#2422C2212yescomplemented
180#2422C2212yescomplemented
181#2422C2212yescomplemented
182#2421C2212yescomplemented
183#2420C2212yescomplemented
184#2412C2214yes—
185#2412C2214yes—
186#2410C2214yes—
187#2409C2212yes—
188#2409C2214yescomplemented
189#2408C2212yes—
190#2407C2212yes—
191#2407C2212yes—
192#2373C2214yescomplemented
193#2372C2214yescomplemented
194#2368C2214yes—
195#2368C2214yescomplemented
196#2364C2214yescomplemented
197#2363C2212yescomplemented
198#2362C2212yescomplemented
199#2361C2212yescomplemented
200#2361C2214yescomplemented
201#2360C2212yescomplemented
202#2359C2214yescomplemented
203#2353C2214yes—
204#2353C2214yescomplemented
205#2352C2214yescomplemented
206#2347C2212yescomplemented
207#2347C2212yescomplemented
208#2346C2212yescomplemented
209#2346C2212yescomplemented
210#2345C2212yes—
211#2345C2212yescomplemented
212#2344C2212yes—
213#2344C2212yescomplemented
214#2343C2214yescomplemented
215#2342C2214yes—
216#2342C2214yes—
217#2341C2212yes—
218Q8×C22⋊C4C2212yes—
219#2339C2212yes—
220#2339C2214yes—
221D4×C22⋊C4C2214yes—
222D4×C22⋊C4C2212yes—
223#2324C2212yescomplemented
224#2323C2212yescomplemented
225#2320C2212yescomplemented
226#2319C2212yescomplemented
227#2317C2211yescharacteristic, complemented
228#2317C2211yescharacteristic, complemented
229#2316C2211yescharacteristic, complemented
230#2316C2211yescharacteristic, complemented
231#2314C2212yescomplemented
232#2314C2212yescomplemented
233#2311C2211yescharacteristic
234#2311C2212yes—
235#2311C2212yes—
236#2311C2211yescharacteristic
237#2311C2211yescharacteristic
238#2311C2211yescharacteristic
239#2311C2211yescharacteristic, complemented
240#2311C2211yescharacteristic, complemented
241C4×C22⋊Q8C2211yescharacteristic
242C4×C22⋊Q8C2211yescharacteristic
243C4×C22⋊Q8C2212yescomplemented
244C4×C22⋊Q8C2211yescharacteristic, complemented
245C4×C22⋊Q8C2211yescharacteristic, complemented
246C4×#123C2212yescomplemented
247C4×#123C2212yescomplemented
248C4×#121C2211yescharacteristic
249C4×#121C2211yescharacteristic
250C4×#121C2212yescomplemented
251C4×#121C2211yescharacteristic, complemented
252C4×#121C2211yescharacteristic, complemented
253C4×#120C2212yes—
254C4×#120C2212yes—
255#2297C2211yescharacteristic
256#2297C2211yescharacteristic
257#2297C2211yescharacteristic
258#2297C2212yes—
259#2297C2212yes—
260#2297C2211yescharacteristic
261#2297C2211yescharacteristic
262#2297C2211yescharacteristic
263#2297C2211yescharacteristic
264#2297C2211yescharacteristic
265#2297C2212yes—
266#2297C2212yes—
267#2297C2211yescharacteristic, complemented
268#2296C2211yescharacteristic, complemented
269#2295C2212yescomplemented
270C2×#391C2211yescharacteristic
271C2×#391C2211yescharacteristic
272C2×#391C2212yescomplemented
273#2293C2212yescomplemented
274C2×#390C2211yescharacteristic
275C2×#390C2211yescharacteristic
276C2×#389C2211yescharacteristic, complemented
277C2×#389C2211yescharacteristic, complemented
278C2×#389C2212yescomplemented
279#2290C2212yes—
280#2290C2212yescomplemented
281C2×#386C2212yes—
282C2×#386C2212yes—
283#2285C2212yes—
284C2×#384C2211yescharacteristic, complemented
285#2283C2212yes—
286#2280C2212yes—
287#2280C2211yescharacteristic
288C2×#380C2211yescharacteristic
289C2×#380C2211yescharacteristic
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2274C2211yescharacteristic, complemented
293#2274C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C22×#41—28no—
300C22×#41—28no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C24×C4C2312yes—
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317#551—416no—
318#537—28no—
319#537—44no—
320C2×C4⋊Q8—44no—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—28no—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8—48no—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359#520—28no—
360#520—44no—
361C4×#41—44no—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×#117—28no—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C42—44no—
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#401C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#379C2314yes—
750#379C2314yes—
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
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—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2412yes—
825C25C2411yescharacteristic
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—28no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—28no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—464no—
847C2×#41#4118yes—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—44no—
851C22×Q8—42no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2414yes—
859C22×Q8C2414yes—
860C22×D4—28no—
861C22×D4—24no—
862C22×D4—28no—
863C22×D4—24no—
864C22×D4—42no—
865C22×D4—44no—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—28no—
882C23×C4—28no—
883C23×C4—24no—
884C23×C4—24no—
885C23×C4—42no—
886C23×C4—42no—
887C23×C4—44no—
888C23×C4—42no—
889C23×C4—42no—
890C23×C4#4118yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928C4⋊Q8—44no—
929#126—48no—
930#126—48no—
931#126—48no—
932#124—48no—
933#124—48no—
934#123—28no—
935#123—48no—
936#123—48no—
937#123—48no—
938#123—48no—
939C22⋊Q8—28no—
940C22⋊Q8—24no—
941C22⋊Q8—24no—
942C22⋊Q8—28no—
943C22⋊Q8—216no—
944C22⋊Q8—48no—
945C22⋊Q8—48no—
946C22⋊Q8—48no—
947C22⋊Q8—48no—
948C22⋊Q8—48no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951#121—28no—
952#121—216no—
953#121—24no—
954#121—24no—
955#121—28no—
956#121—44no—
957#121—44no—
958#121—48no—
959#120—28no—
960#120—48no—
961C4×Q8—28no—
962C4×Q8—42no—
963C4×Q8—42no—
964C4×Q8—44no—
965C4×D4—28no—
966C4×D4—216no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980#117—24no—
981#117—24no—
982#117—28no—
983#117—28no—
984#117—24no—
985#117—24no—
986#117—28no—
987#117—24no—
988#117—24no—
989#117—24no—
990#117—44no—
991#117—48no—
992#117—48no—
993#117—44no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—28no—
1059C2×C22⋊C4—28no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—48no—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C42—28no—
1125C2×C42—24no—
1126C2×C42—24no—
1127C2×C42—44no—
1128C2×C42—42no—
1129C2×C42—42no—
1130C2×C42—42no—
1131C2×C42—42no—
1132C2×C42—42no—
1133C2×C42—42no—
1134C2×C42—42no—
1135C2×C42—42no—
1136C2×C42—42no—
1137C2×C42—42no—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—24no—
1242C24—24no—
1243C24—24no—
1244C24—24no—
1245C24—41no—
1246C24—41no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24C2×#4114yes—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2511yescharacteristic
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257#41—232no—
1258#41—432no—
1259#41—432no—
1260#41—416no—
1261#41—416no—
1262#41—416no—
1263#41—416no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—28no—
1275C2×Q8—28no—
1276C2×Q8—42no—
1277C2×Q8—44no—
1278C2×Q8—44no—
1279C2×Q8—44no—
1280C2×Q8—44no—
1281C2×Q8—416no—
1282C2×Q8—816no—
1283C2×Q8C2×#4114yes—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—416no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—432no—
1323C2×D4C2×#4118yes—
1324C2×D4C2×#4114yes—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—232no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—432no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—416no—
1419C22×C4—416no—
1420C22×C4C2×#4114yes—
1421C22×C4C2×#4114yes—
1422C22×C4C2×#4118yes—
1423C22×C4C2×#4114yes—
1424C22×C4C2×#4114yes—
1425C22×C4C2×#4114yes—
1426C22×C4C2×#4114yes—
1427C22×C4C2×#4114yes—
1428C22×C4H(5,𝔽2)14yes—
1429C22×C4H(5,𝔽2)14yes—
1430C22×C42−1+414yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2514yes—
1445C22×C4C2514yes—
1446C22×C4C2514yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C42—24no—
1570C42—24no—
1571C42—24no—
1572C42—24no—
1573C42—24no—
1574C42—28no—
1575C42—24no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—41no—
1588C42—41no—
1589C42—41no—
1590C42—41no—
1591C42—41no—
1592C42—41no—
1593C42—41no—
1594C42—41no—
1595C42—42no—
1596C42—42no—
1597C42—44no—
1598C42—44no—
1599C42—44no—
1600C42—42no—
1601C42—42no—
1602C42—44no—
1603C42—44no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—21no—
1624C23—28no—
1625C23—28no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—48no—
1646C23—48no—
1647C23—48no—
1648C23—48no—
1649C23—84no—
1650C23—84no—
1651C23—84no—
1652C23C22×#4112yes—
1653C23C22×#4114yes—
1654C23C22×#4112yes—
1655C23C22×#4112yes—
1656C23C22×#4112yes—
1657C23C2×H(5,𝔽2)12yes—
1658C23C2×H(5,𝔽2)12yes—
1659C23C2×2−1+412yes—
1660C23C2611yescharacteristic
1661Q8—28no—
1662Q8—48no—
1663Q8—44no—
1664Q8—44no—
1665Q8—88no—
1666Q8—88no—
1667D4—216no—
1668D4—28no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—48no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—44no—
1677D4—44no—
1678D4—88no—
1679D4—164no—
1680C2×C4—28no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—28no—
1701C2×C4—28no—
1702C2×C4—28no—
1703C2×C4—28no—
1704C2×C4—28no—
1705C2×C4—216no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—88no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—164no—
1785C2×C4#551116yescomplemented
1786C2×C4C22×#4112yes—
1787C2×C4C22×#4114yes—
1788C2×C4C22×#4112yes—
1789C2×C4C22×#4112yes—
1790C2×C4C22×#4112yes—
1791C2×C4C22×#4112yes—
1792C2×C4C22×#4112yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×2−1+412yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4#58512yes—
1800C2×C4#58512yes—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—24no—
1815C22—24no—
1816C22—22no—
1817C22—22no—
1818C22—24no—
1819C22—416no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—41no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—816no—
1843C22C2×#55114yes—
1844C22#351114yes—
1845C22C23×#4111yescharacteristic
1846C22C23×#4111yescharacteristic
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C22×2−1+411yescharacteristic
1850C22C2×#58511yescharacteristic
1851C22C2×#58511yescharacteristic
1852C4—22no—
1853C4—22no—
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—24no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—44no—
1866C4—44no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4—44no—
1874C4—44no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—42no—
1879C4C2×#55114yes—
1880C4C2×#55114yes—
1881C2—24no—
1882C2—24no—
1883C2—42no—
1884C2—44no—
1885C2—82no—
1886C2—82no—
1887C2C22×#55111yescharacteristic
1888C2C2×#351111yescharacteristic
1889C2#6280011yescharacteristic
1890C2#6280511yescharacteristic
1891C2#6281511yescharacteristic
1892C2#6281811yescharacteristic
1893C2#6281911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35251C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59882C2semidirect
2. #59881C2semidirect
3. #59301C2semidirect
4. #59133C2semidirect
5. #39563C2semidirect
6. #39562C2semidirect
7. #39561C2semidirect
8. #39560C2semidirect
9. #38117C2semidirect
10. #38116C2semidirect
11. #38111C2semidirect
12. #38110C2semidirect
13. C2×#2857C2semidirect
14. #36381C2semidirect
15. #36368C2semidirect
16. #36277C2semidirect
17. #36262C2semidirect
18. #36204C2semidirect
19. #36203C2semidirect
20. #36190C2semidirect
21. #36183C2semidirect
22. #35592C2semidirect
23. #35574C2semidirect
24. #35557C2semidirect
25. #35530C2semidirect
26. #35267C2semidirect
27. #35263C2semidirect
28. #35255C2semidirect
30. #34267C2semidirect
31. #34253C2semidirect
32. #34180C2semidirect
33. #34175C2semidirect
34. C4×#525C2semidirect
35. C2×#2297C2semidirect
40. C22×C4⋊Q8C22semidirect
45. C2×C4×#41C22semidirect
48. #2863C22semidirect
49. #2860C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
56. #2857C22semidirect
57. #2857C22semidirect
59. #2855C22semidirect
61. #2854C22semidirect
64. #2799C22semidirect
65. #2798C22semidirect
66. #2796C22semidirect
67. #2786C22semidirect
68. #2778C22semidirect
69. #2759C22semidirect
70. #2756C22semidirect
71. #2755C22semidirect
72. #2751C22semidirect
73. #2750C22semidirect
74. #2730C22semidirect
75. #2730C22semidirect
76. #2728C22semidirect
77. #2723C22semidirect
78. #2705C22semidirect
79. #2696C22semidirect
80. #2645C22semidirect
81. #2644C22semidirect
82. #2625C22semidirect
83. #2625C22semidirect
84. #2624C22semidirect
85. #2624C22semidirect
88. #2607C22semidirect
89. #2605C22semidirect
90. #2602C22semidirect
91. #2601C22semidirect
92. #2591C22semidirect
93. #2589C22semidirect
94. #2588C22semidirect
95. #2579C22semidirect
96. #2578C22semidirect
97. #2574C22semidirect
98. #2573C22semidirect
99. #2572C22semidirect
103. #2560C22semidirect
104. #2560C22semidirect
105. #2557C22semidirect
106. #2553C22semidirect
108. #2531C22semidirect
109. #2527C22semidirect
110. #2526C22semidirect
111. #2523C22semidirect
112. #2522C22semidirect
113. #2521C22semidirect
114. #2518C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2510C22semidirect
120. #2505C22semidirect
121. #2502C22semidirect
122. #2501C22semidirect
123. #2500C22semidirect
124. #2499C22semidirect
126. #2498C22semidirect
127. #2497C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2496C22semidirect
133. #2495C22semidirect
134. #2494C22semidirect
136. #2492C22semidirect
137. #2492C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
145. #2488C22semidirect
148. #2485C22semidirect
149. #2485C22semidirect
150. #2481C22semidirect
151. #2481C22semidirect
152. #2481C22semidirect
154. #2477C22semidirect
156. #2467C22semidirect
157. #2463C22semidirect
158. #2461C22semidirect
159. #2457C22semidirect
160. #2452C22semidirect
161. #2452C22semidirect
162. #2451C22semidirect
163. #2451C22semidirect
164. #2444C22semidirect
165. #2443C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
168. #2440C22semidirect
169. #2440C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
174. #2436C22semidirect
176. #2423C22semidirect
177. #2423C22semidirect
178. #2423C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
181. #2422C22semidirect
182. #2421C22semidirect
183. #2420C22semidirect
188. #2409C22semidirect
192. #2373C22semidirect
193. #2372C22semidirect
195. #2368C22semidirect
196. #2364C22semidirect
197. #2363C22semidirect
198. #2362C22semidirect
199. #2361C22semidirect
200. #2361C22semidirect
201. #2360C22semidirect
202. #2359C22semidirect
204. #2353C22semidirect
205. #2352C22semidirect
206. #2347C22semidirect
207. #2347C22semidirect
208. #2346C22semidirect
209. #2346C22semidirect
211. #2345C22semidirect
213. #2344C22semidirect
214. #2343C22semidirect
223. #2324C22semidirect
224. #2323C22semidirect
225. #2320C22semidirect
226. #2319C22semidirect
227. #2317C22semidirect
228. #2317C22semidirect
229. #2316C22semidirect
230. #2316C22semidirect
231. #2314C22semidirect
232. #2314C22semidirect
239. #2311C22semidirect
240. #2311C22semidirect
243. C4×C22⋊Q8C22semidirect
244. C4×C22⋊Q8C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×#123C22semidirect
247. C4×#123C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
267. #2297C22semidirect
268. #2296C22semidirect
269. #2295C22semidirect
272. C2×#391C22semidirect
273. #2293C22semidirect
276. C2×#389C22semidirect
277. C2×#389C22semidirect
278. C2×#389C22semidirect
280. #2290C22semidirect
284. C2×#384C22semidirect
292. #2274C22semidirect
293. #2274C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
1785. C2×C4#551semidirect

Maximal subgroups

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

subgroupindex
#598822
#598812
#593012
#591332
#395632
#395622
#395612
#395602
#381172
#381162
#381112
#381102
C2×#28572
#363812
#363682
#362772
#362622
#362042
#362032
#361902
#361832
#355922
#355742
#355572
#355302
#352672
#352632
#352552
#352512
#342672
#342532
#341802
#341752
C4×#5252
C2×#22972