Finite Group Databasebeta

← #7682785

Subgroups — #7682785

Order 512.

6234 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C212yesmaximal, complemented
2#59820C212yesmaximal, complemented
3#59637C212yesmaximal, complemented
4#59549C212yesmaximal, complemented
5#59480C212yesmaximal, complemented
6#59478C212yesmaximal, complemented
7#59476C212yesmaximal, complemented
8#59474C212yesmaximal, complemented
9#59267C214yesmaximal, complemented
10#59011C214yesmaximal, complemented
11#45368C212yesmaximal, complemented
12#45367C212yesmaximal, complemented
13#45209C212yesmaximal, complemented
14#45053C212yesmaximal, complemented
15#45031C212yesmaximal, complemented
16#45013C212yesmaximal, complemented
17#44995C212yesmaximal, complemented
18#44959C212yesmaximal, complemented
19#43077C214yesmaximal, complemented
20#43050C214yesmaximal, complemented
21#35556C211yesmaximal, characteristic, complemented
22#35545C211yesmaximal, characteristic, complemented
23#35541C211yesmaximal, characteristic, complemented
24#35531C211yesmaximal, characteristic, complemented
25#35527C211yesmaximal, characteristic
26#35515C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2445C211yesmaximal, characteristic, complemented
30#34269C211yesmaximal, characteristic, complemented
31#34258C211yesmaximal, characteristic, complemented
32#34256C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34210C211yesmaximal, characteristic, complemented
35#34186C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C2×#551C2214yescomplemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic, complemented
41C22×#127C2211yescharacteristic
42C22×#123C2212yescomplemented
43C2×#520C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C2×#518C2211yescharacteristic, complemented
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2797C2214yescomplemented
49#2778C2214yescomplemented
50#2778C2214yescomplemented
51#2760C2214yescomplemented
52#2756C2214yescomplemented
53#2753C2214yescomplemented
54#2752C2214yescomplemented
55#2749C2214yescomplemented
56#2749C2214yescomplemented
57#2749C2214yescomplemented
58#2746C2214yescomplemented
59#2743C2214yescomplemented
60#2740C2214yescomplemented
61#2737C2214yescomplemented
62#2730C2214yescomplemented
63#2706C2214yescomplemented
64#2705C2214yescomplemented
65#2697C2214yescomplemented
66#2696C2214yescomplemented
67#2696C2214yescomplemented
68#2693C2214yescomplemented
69#2685C2214yescomplemented
70#2685C2214yescomplemented
71#2684C2214yescomplemented
72#2610C2214yescomplemented
73#2603C2214yescomplemented
74#2602C2214yescomplemented
75#2600C2214yescomplemented
76#2598C2214yescomplemented
77#2598C2214yescomplemented
78#2592C2212yescomplemented
79#2592C2212yescomplemented
80#2580C2212yescomplemented
81#2580C2212yescomplemented
82#2576C2214yescomplemented
83#2572C2214yescomplemented
84#2568C2211yescharacteristic, complemented
85#2567C2211yescharacteristic, complemented
86#2566C2211yescharacteristic, complemented
87#2566C2211yescharacteristic, complemented
88#2565C2211yescharacteristic, complemented
89#2565C2211yescharacteristic, complemented
90#2564C2212yescomplemented
91#2564C2214yescomplemented
92#2564C2212yescomplemented
93#2563C2211yescharacteristic, complemented
94#2557C2214yescomplemented
95#2554C2214yescomplemented
96#2548C2212yescomplemented
97#2548C2212yescomplemented
98#2542C2211yescharacteristic, complemented
99#2538C2212yescomplemented
100#2538C2212yescomplemented
101#2534C2214yescomplemented
102#2534C2214yescomplemented
103#2526C2214yescomplemented
104#2516C2214yescomplemented
105#2514C2211yescharacteristic, complemented
106#2514C2211yescharacteristic, complemented
107#2514C2212yescomplemented
108#2513C2211yescharacteristic, complemented
109#2513C2211yescharacteristic, complemented
110#2513C2212yescomplemented
111#2512C2211yescharacteristic, complemented
112#2512C2211yescharacteristic, complemented
113#2512C2212yescomplemented
114#2511C2211yescharacteristic, complemented
115#2511C2211yescharacteristic, complemented
116#2511C2212yescomplemented
117#2510C2212yescomplemented
118#2510C2212yescomplemented
119#2510C2214yescomplemented
120#2510C2214yescomplemented
121#2510C2214yescomplemented
122#2504C2212yescomplemented
123#2501C2212yescomplemented
124#2500C2212yescomplemented
125#2500C2212yescomplemented
126#2498C2214yescomplemented
127#2497C2212yescomplemented
128#2496C2212yescomplemented
129#2495C2212yescomplemented
130#2494C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2212yescomplemented
133#2490C2212yescomplemented
134#2490C2212yescomplemented
135#2488C2214yescomplemented
136#2481C2212yescomplemented
137#2481C2212yescomplemented
138#2481C2214yescomplemented
139#2472C2214yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2471C2214yescomplemented
144#2471C2214yescomplemented
145#2471C2214yescomplemented
146#2467C2214yescomplemented
147#2463C2214yescomplemented
148#2461C2214yescomplemented
149#2457C2214yescomplemented
150#2457C2214yescomplemented
151#2454C2212yescomplemented
152#2454C2212yescomplemented
153#2452C2212yescomplemented
154#2452C2212yescomplemented
155#2448C2212yescomplemented
156#2448C2212yescomplemented
157#2447C2212yescomplemented
158#2447C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2445C2212yescomplemented
162#2445C2212yescomplemented
163#2445C2212yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2445C2212yescomplemented
170#2445C2212yescomplemented
171#2437C2214yescomplemented
172#2437C2214yescomplemented
173#2433C2212yes—
174#2433C2212yes—
175#2433C2212yes—
176#2433C2212yes—
177#2431C2212yes—
178#2431C2212yes—
179#2431C2212yes—
180#2431C2212yes—
181#2422C2212yescomplemented
182#2422C2212yescomplemented
183#2420C2212yescomplemented
184#2420C2212yescomplemented
185#2419C2214yescomplemented
186#2418C2214yescomplemented
187#2418C2214yescomplemented
188#2418C2214yescomplemented
189#2418C2214yescomplemented
190#2417C2212yescomplemented
191#2417C2212yescomplemented
192#2412C2214yescomplemented
193#2412C2214yescomplemented
194#2412C2214yescomplemented
195#2412C2214yescomplemented
196#2411C2214yescomplemented
197#2411C2214yescomplemented
198#2403C2214yes—
199#2403C2214yes—
200#2401C2212yescomplemented
201#2401C2212yescomplemented
202#2396C2212yescomplemented
203#2396C2212yescomplemented
204C2×#394C2212yescomplemented
205C2×#394C2212yescomplemented
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2366C2212yescomplemented
209#2366C2212yescomplemented
210#2366C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2366C2212yescomplemented
214#2359C2214yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2358C2214yescomplemented
218#2357C2212yescomplemented
219#2357C2212yescomplemented
220#2357C2212yescomplemented
221#2357C2212yescomplemented
222#2354C2212yescomplemented
223#2354C2212yescomplemented
224#2354C2212yescomplemented
225#2354C2212yescomplemented
226#2353C2214yescomplemented
227#2353C2214yescomplemented
228#2352C2214yescomplemented
229#2347C2212yescomplemented
230#2346C2212yescomplemented
231#2345C2212yescomplemented
232#2344C2212yescomplemented
233#2341C2212yescomplemented
234#2341C2212yescomplemented
235#2339C2212yescomplemented
236#2339C2212yescomplemented
237#2339C2212yescomplemented
238#2339C2212yescomplemented
239D4×C22⋊C4C2214yes—
240D4×C22⋊C4C2214yes—
241D4×C22⋊C4C2214yescomplemented
242D4×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2214yescomplemented
244D4×C22⋊C4C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2212yescomplemented
248D4×C22⋊C4C2212yescomplemented
249#2328C2212yescomplemented
250#2328C2212yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2320C2212yescomplemented
254#2319C2212yescomplemented
255#2317C2211yescharacteristic, complemented
256#2316C2211yescharacteristic, complemented
257#2312C2214yescomplemented
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2212yescomplemented
262#2309C2211yescharacteristic
263#2309C2211yescharacteristic
264#2309C2212yescomplemented
265#2309C2211yescharacteristic, complemented
266#2308C2214yes—
267C4×#127C2212yescomplemented
268C4×#127C2212yescomplemented
269C4×#126C2212yescomplemented
270C4×#126C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2212yescomplemented
281#2296C2211yescharacteristic, complemented
282#2295C2212yescomplemented
283#2293C2212yescomplemented
284C2×#390C2211yescharacteristic
285C2×#390C2211yescharacteristic, complemented
286C2×#390C2211yescharacteristic, complemented
287C2×#390C2212yescomplemented
288C2×#389C2211yescharacteristic, complemented
289C2×#386C2214yes—
290C2×#386C2212yescomplemented
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2285C2211yescharacteristic, complemented
294#2280C2214yescomplemented
295#2274C2211yescharacteristic, complemented
296#2274C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×H(5,𝔽2)—28no—
300C2×H(5,𝔽2)—28no—
301C2×H(5,𝔽2)—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2314yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2312yes—
313C24×C4C2312yes—
314#551—416no—
315#535—28no—
316#535—44no—
317#533—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127—28no—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#520—28no—
362#518—44no—
363#518—44no—
364C4×#41—44no—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4—28no—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C22⋊C4C2312yes—
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⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429#401C2312yes—
430#401C2312yes—
431#401C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2314yes—
443#399C2312yes—
444#399C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2312yes—
482#395C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2312yes—
719#383C2312yes—
720#383C2314yes—
721#383C2314yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2314yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2314yes—
818C2×#95C2311yescharacteristic
819C2×#95C2311yescharacteristic
820C2×#95C2314yes—
821C2×#95C2314yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2412yes—
825C25C2414yes—
826C25C2412yes—
827H(5,𝔽2)—464no—
828C2×#41—28no—
829C2×#41—28no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41#4118yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×D4—216no—
845C22×D4—28no—
846C22×D4—28no—
847C22×D4—28no—
848C22×D4—28no—
849C22×D4—28no—
850C22×D4—216no—
851C22×D4—24no—
852C22×D4—24no—
853C22×D4—24no—
854C22×D4—28no—
855C22×D4—24no—
856C22×D4—24no—
857C22×D4—44no—
858C22×D4—44no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—48no—
862C22×D4—82no—
863C22×D4—82no—
864C22×D4#4118yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C23×C4—28no—
884C23×C4—44no—
885C23×C4—82no—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C4⋊Q8—42no—
908C4⋊Q8—42no—
909#127—28no—
910#127—28no—
911#127—28no—
912#127—28no—
913#127—28no—
914#127—44no—
915#126—28no—
916#126—44no—
917#126—48no—
918#125—42no—
919#125—42no—
920#124—28no—
921#124—44no—
922#124—48no—
923#124—84no—
924#123—216no—
925#123—48no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—84no—
931#123—84no—
932C22⋊Q8—28no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—48no—
937C22⋊Q8—84no—
938#121—28no—
939#121—28no—
940#121—44no—
941#121—44no—
942#120—216no—
943#120—48no—
944#120—48no—
945#120—48no—
946#120—84no—
947#120—84no—
948C4×Q8—28no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—42no—
952C4×Q8—42no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—216no—
958C4×D4—28no—
959C4×D4—48no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—84no—
975C4×D4—84no—
976C4×D4—84no—
977#117—28no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—44no—
985#117—48no—
986#117—48no—
987#117—84no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—28no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C22⋊C4—28no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—44no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—84no—
1058C2×C22⋊C4—84no—
1059C2×C22⋊C4—82no—
1060C2×C22⋊C4—82no—
1061C2×C22⋊C4—82no—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C42—24no—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—44no—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228C24—24no—
1229C24—24no—
1230C24—24no—
1231C24—28no—
1232C24—28no—
1233C24—24no—
1234C24—24no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—44no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24C2×#4118yes—
1249C24C2512yes—
1250C24C2514yes—
1251C24C2512yes—
1252C24C2514yes—
1253C24C2511yescharacteristic
1254#41—232no—
1255#41—432no—
1256#41—432no—
1257#41—416no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8C2×#4114yes—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—232no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—22no—
1302C2×D4—28no—
1303C2×D4—432no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—432no—
1323C2×D4—464no—
1324C2×D4—416no—
1325C2×D4—816no—
1326C2×D4—816no—
1327C2×D4C2×#4118yes—
1328C2×D4C2×#4114yes—
1329C2×D4C2×#4118yes—
1330C2×D4C2×#4118yes—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—28no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—22no—
1345C22×C4—28no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—41no—
1356C22×C4—44no—
1357C22×C4—41no—
1358C22×C4—44no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—816no—
1391C22×C4C2×#4118yes—
1392C22×C4C2×#4114yes—
1393C22×C4C2×#4114yes—
1394C22×C4H(5,𝔽2)14yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2514yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4H(5,𝔽2)14yescomplemented
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—28no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—42no—
1571C42—42no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C42—42no—
1577C42—42no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—24no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—216no—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—24no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—48no—
1610C23—48no—
1611C23—416no—
1612C23—48no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—88no—
1624C23—88no—
1625C23—88no—
1626C23—88no—
1627C23—164no—
1628C23—164no—
1629C23C22×#4118yes—
1630C23C22×#4114yes—
1631C23C22×#4112yes—
1632C23C22×#4112yes—
1633C23C2×H(5,𝔽2)12yes—
1634C23C2611yescharacteristic
1635Q8—28no—
1636Q8—44no—
1637Q8—84no—
1638Q8—84no—
1639D4—216no—
1640D4—216no—
1641D4—216no—
1642D4—28no—
1643D4—416no—
1644D4—416no—
1645D4—416no—
1646D4—416no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—44no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—88no—
1655D4—164no—
1656D4—164no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—216no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—44no—
1738C2×C4—416no—
1739C2×C4—44no—
1740C2×C4—416no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—82no—
1748C2×C4—82no—
1749C2×C4—84no—
1750C2×C4—88no—
1751C2×C4—84no—
1752C2×C4—164no—
1753C2×C4—164no—
1754C2×C4—164no—
1755C2×C4—164no—
1756C2×C4#551116yescomplemented
1757C2×C4C22×#4114yes—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4112yes—
1761C2×C4C22×#4112yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4#58512yes—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—28no—
1775C22—24no—
1776C22—28no—
1777C22—24no—
1778C22—24no—
1779C22—28no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—44no—
1802C22—816no—
1803C22—168no—
1804C22—1616no—
1805C22C2×#55114yes—
1806C22C23×#4111yescharacteristic
1807C22C23×#4111yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22H(7,𝔽2)11yescharacteristic
1812C22H(7,𝔽2)11yescharacteristic
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—24no—
1818C4—44no—
1819C4—41no—
1820C4—41no—
1821C4—42no—
1822C4—44no—
1823C4—42no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4C2×#55114yes—
1842C4C2×#55114yes—
1843C2—24no—
1844C2—48no—
1845C2—44no—
1846C2—84no—
1847C2—82no—
1848C2C22×#55111yescharacteristic
1849C2#6283411yescharacteristic
1850C2#6288011yescharacteristic
1851C2#6298311yescharacteristic
1852C2#6298611yescharacteristic
1853C2#6299011yescharacteristic
1854C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35527C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59905C2semidirect
2. #59820C2semidirect
3. #59637C2semidirect
4. #59549C2semidirect
5. #59480C2semidirect
6. #59478C2semidirect
7. #59476C2semidirect
8. #59474C2semidirect
9. #59267C2semidirect
10. #59011C2semidirect
11. #45368C2semidirect
12. #45367C2semidirect
13. #45209C2semidirect
14. #45053C2semidirect
15. #45031C2semidirect
16. #45013C2semidirect
17. #44995C2semidirect
18. #44959C2semidirect
19. #43077C2semidirect
20. #43050C2semidirect
21. #35556C2semidirect
22. #35545C2semidirect
23. #35541C2semidirect
24. #35531C2semidirect
26. #35515C2semidirect
27. #34947C2semidirect
28. #34816C2semidirect
29. C2×#2445C2semidirect
30. #34269C2semidirect
31. #34258C2semidirect
32. #34256C2semidirect
33. #34253C2semidirect
34. #34210C2semidirect
35. #34186C2semidirect
37. C2×#551C22semidirect
40. C2×#533C22semidirect
42. C22×#123C22semidirect
45. C2×#518C22semidirect
48. #2797C22semidirect
49. #2778C22semidirect
50. #2778C22semidirect
51. #2760C22semidirect
52. #2756C22semidirect
53. #2753C22semidirect
54. #2752C22semidirect
55. #2749C22semidirect
56. #2749C22semidirect
57. #2749C22semidirect
58. #2746C22semidirect
59. #2743C22semidirect
60. #2740C22semidirect
61. #2737C22semidirect
62. #2730C22semidirect
63. #2706C22semidirect
64. #2705C22semidirect
65. #2697C22semidirect
66. #2696C22semidirect
67. #2696C22semidirect
68. #2693C22semidirect
69. #2685C22semidirect
70. #2685C22semidirect
71. #2684C22semidirect
72. #2610C22semidirect
73. #2603C22semidirect
74. #2602C22semidirect
75. #2600C22semidirect
76. #2598C22semidirect
77. #2598C22semidirect
78. #2592C22semidirect
79. #2592C22semidirect
80. #2580C22semidirect
81. #2580C22semidirect
82. #2576C22semidirect
83. #2572C22semidirect
84. #2568C22semidirect
85. #2567C22semidirect
86. #2566C22semidirect
87. #2566C22semidirect
88. #2565C22semidirect
89. #2565C22semidirect
90. #2564C22semidirect
91. #2564C22semidirect
92. #2564C22semidirect
93. #2563C22semidirect
94. #2557C22semidirect
95. #2554C22semidirect
96. #2548C22semidirect
97. #2548C22semidirect
98. #2542C22semidirect
99. #2538C22semidirect
100. #2538C22semidirect
101. #2534C22semidirect
102. #2534C22semidirect
103. #2526C22semidirect
104. #2516C22semidirect
105. #2514C22semidirect
106. #2514C22semidirect
107. #2514C22semidirect
108. #2513C22semidirect
109. #2513C22semidirect
110. #2513C22semidirect
111. #2512C22semidirect
112. #2512C22semidirect
113. #2512C22semidirect
114. #2511C22semidirect
115. #2511C22semidirect
116. #2511C22semidirect
117. #2510C22semidirect
118. #2510C22semidirect
119. #2510C22semidirect
120. #2510C22semidirect
121. #2510C22semidirect
122. #2504C22semidirect
123. #2501C22semidirect
124. #2500C22semidirect
125. #2500C22semidirect
126. #2498C22semidirect
127. #2497C22semidirect
128. #2496C22semidirect
129. #2495C22semidirect
130. #2494C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2488C22semidirect
136. #2481C22semidirect
137. #2481C22semidirect
138. #2481C22semidirect
139. #2472C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2471C22semidirect
144. #2471C22semidirect
145. #2471C22semidirect
146. #2467C22semidirect
147. #2463C22semidirect
148. #2461C22semidirect
149. #2457C22semidirect
150. #2457C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2452C22semidirect
154. #2452C22semidirect
155. #2448C22semidirect
156. #2448C22semidirect
157. #2447C22semidirect
158. #2447C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2445C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
170. #2445C22semidirect
171. #2437C22semidirect
172. #2437C22semidirect
181. #2422C22semidirect
182. #2422C22semidirect
183. #2420C22semidirect
184. #2420C22semidirect
185. #2419C22semidirect
186. #2418C22semidirect
187. #2418C22semidirect
188. #2418C22semidirect
189. #2418C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
192. #2412C22semidirect
193. #2412C22semidirect
194. #2412C22semidirect
195. #2412C22semidirect
196. #2411C22semidirect
197. #2411C22semidirect
200. #2401C22semidirect
201. #2401C22semidirect
202. #2396C22semidirect
203. #2396C22semidirect
204. C2×#394C22semidirect
205. C2×#394C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
208. #2366C22semidirect
209. #2366C22semidirect
210. #2366C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2359C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2358C22semidirect
218. #2357C22semidirect
219. #2357C22semidirect
220. #2357C22semidirect
221. #2357C22semidirect
222. #2354C22semidirect
223. #2354C22semidirect
224. #2354C22semidirect
225. #2354C22semidirect
226. #2353C22semidirect
227. #2353C22semidirect
228. #2352C22semidirect
229. #2347C22semidirect
230. #2346C22semidirect
231. #2345C22semidirect
232. #2344C22semidirect
233. #2341C22semidirect
234. #2341C22semidirect
235. #2339C22semidirect
236. #2339C22semidirect
237. #2339C22semidirect
238. #2339C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2328C22semidirect
250. #2328C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2320C22semidirect
254. #2319C22semidirect
255. #2317C22semidirect
256. #2316C22semidirect
257. #2312C22semidirect
261. #2311C22semidirect
264. #2309C22semidirect
265. #2309C22semidirect
267. C4×#127C22semidirect
268. C4×#127C22semidirect
269. C4×#126C22semidirect
270. C4×#126C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
280. #2297C22semidirect
281. #2296C22semidirect
282. #2295C22semidirect
283. #2293C22semidirect
285. C2×#390C22semidirect
286. C2×#390C22semidirect
287. C2×#390C22semidirect
288. C2×#389C22semidirect
290. C2×#386C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. #2285C22semidirect
294. #2280C22semidirect
295. #2274C22semidirect
296. #2274C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1479. C4⋊C4H(5,𝔽2)semidirect
1756. C2×C4#551semidirect

Maximal subgroups

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

subgroupindex
#599052
#598202
#596372
#595492
#594802
#594782
#594762
#594742
#592672
#590112
#453682
#453672
#452092
#450532
#450312
#450132
#449952
#449592
#430772
#430502
#355562
#355452
#355412
#355312
#355272
#355152
#349472
#348162
C2×#24452
#342692
#342582
#342562
#342532
#342102
#341862