Finite Group Databasebeta

← #7677815

Subgroups — #7677815

Order 512.

5850 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59458C211yesmaximal, characteristic, complemented
5#59419C211yesmaximal, characteristic, complemented
6#59382C212yesmaximal, complemented
7#59245C211yesmaximal, characteristic, complemented
8#59228C211yesmaximal, characteristic, complemented
9#59124C211yesmaximal, characteristic, complemented
10#59124C211yesmaximal, characteristic, complemented
11#59099C212yesmaximal, complemented
12#59057C212yesmaximal, complemented
13#45209C212yesmaximal, complemented
14#45033C212yesmaximal, complemented
15#45018C212yesmaximal, complemented
16#44903C212yesmaximal, complemented
17#44262C214yesmaximal, complemented
18#44157C214yesmaximal, complemented
19#40361C214yesmaximal, complemented
20#40164C212yesmaximal, complemented
21#40153C212yesmaximal, complemented
22#38537C214yesmaximal, complemented
23#36462C212yesmaximal, complemented
24#36238C212yesmaximal, complemented
25#35546C212yesmaximal, complemented
26#35524C212yesmaximal, complemented
27#35190C212yesmaximal, complemented
28#35186C211yesmaximal, characteristic, complemented
29#34925C211yesmaximal, characteristic, complemented
30#34913C211yesmaximal, characteristic, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34292C212yesmaximal, complemented
33#34210C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#542C2211yescharacteristic
42C2×#532C2212yescomplemented
43C2×#532C2212yescomplemented
44C22×#127C2211yescharacteristic
45C2×#518C2212yes—
46C2×C4×#41C2212yescomplemented
47#2861C2212yescomplemented
48#2860C2212yescomplemented
49#2850C2214yescomplemented
50#2850C2214yescomplemented
51#2803C2214yescomplemented
52#2803C2214yescomplemented
53#2788C2214yes—
54#2778C2214yescomplemented
55#2756C2214yes—
56#2753C2214yescomplemented
57#2752C2214yescomplemented
58#2749C2214yescomplemented
59#2743C2214yescomplemented
60#2735C2214yes—
61#2730C2214yescomplemented
62#2730C2214yescomplemented
63#2714C2214yescomplemented
64#2714C2214yescomplemented
65#2703C2214yescomplemented
66#2699C2214yescomplemented
67#2696C2214yescomplemented
68#2692C2214yescomplemented
69#2688C2214yescomplemented
70#2685C2214yes—
71#2678C2214yes—
72#2673C2214yes—
73#2673C2214yes—
74#2670C2214yes—
75#2651C2214yescomplemented
76#2635C2214yescomplemented
77#2635C2214yescomplemented
78#2602C2214yescomplemented
79#2600C2214yescomplemented
80#2598C2214yescomplemented
81#2598C2214yescomplemented
82#2593C2214yescomplemented
83#2592C2212yescomplemented
84#2591C2214yescomplemented
85#2588C2214yescomplemented
86#2582C2211yescharacteristic, complemented
87#2580C2212yescomplemented
88#2578C2212yes—
89#2578C2214yescomplemented
90#2577C2212yescomplemented
91#2576C2212yes—
92#2575C2212yescomplemented
93#2572C2214yescomplemented
94#2572C2214yescomplemented
95#2568C2212yescomplemented
96#2562C2212yes—
97#2561C2214yes—
98#2560C2214yescomplemented
99#2559C2214yescomplemented
100#2557C2214yescomplemented
101#2555C2214yescomplemented
102#2554C2214yescomplemented
103#2552C2211yescharacteristic, complemented
104#2551C2211yescharacteristic, complemented
105#2548C2211yescharacteristic
106#2548C2211yescharacteristic
107#2548C2212yescomplemented
108#2548C2212yescomplemented
109#2544C2212yescomplemented
110#2543C2214yescomplemented
111#2542C2212yescomplemented
112#2541C2211yescharacteristic
113#2541C2211yescharacteristic
114#2541C2212yes—
115#2541C2212yes—
116#2540C2214yescomplemented
117#2537C2211yescharacteristic, complemented
118#2534C2214yes—
119#2518C2214yescomplemented
120#2516C2214yescomplemented
121#2514C2211yescharacteristic, complemented
122#2513C2212yescomplemented
123#2512C2212yescomplemented
124#2511C2212yescomplemented
125#2510C2214yescomplemented
126#2509C2212yescomplemented
127#2508C2211yescharacteristic, complemented
128#2500C2212yescomplemented
129#2500C2212yescomplemented
130#2500C2212yescomplemented
131#2497C2212yes—
132#2495C2211yescharacteristic
133#2495C2212yescomplemented
134#2492C2212yes—
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2490C2212yescomplemented
139#2490C2212yescomplemented
140#2489C2211yescharacteristic
141#2488C2214yescomplemented
142#2488C2214yescomplemented
143#2472C2214yes—
144#2472C2214yes—
145#2472C2214yes—
146#2468C2214yescomplemented
147#2459C2214yescomplemented
148#2459C2214yescomplemented
149#2459C2214yescomplemented
150#2457C2214yescomplemented
151#2457C2214yescomplemented
152#2456C2214yescomplemented
153#2454C2212yescomplemented
154#2454C2211yescharacteristic, complemented
155#2454C2212yescomplemented
156#2452C2212yescomplemented
157#2452C2212yescomplemented
158#2452C2212yescomplemented
159#2449C2214yescomplemented
160#2448C2212yescomplemented
161#2447C2212yescomplemented
162#2447C2211yescharacteristic, complemented
163#2445C2212yes—
164#2445C2212yes—
165#2445C2212yescomplemented
166#2444C2214yescomplemented
167#2439C2212yes—
168#2433C2212yes—
169#2433C2212yes—
170#2431C2212yes—
171#2431C2212yes—
172#2431C2212yescomplemented
173#2431C2212yescomplemented
174#2428C2212yes—
175#2428C2212yes—
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2428C2212yescomplemented
180#2427C2211yescharacteristic
181#2427C2214yescomplemented
182#2424C2214yes—
183#2422C2212yescomplemented
184#2420C2211yescharacteristic
185#2420C2212yescomplemented
186#2420C2212yescomplemented
187#2420C2212yescomplemented
188#2418C2214yes—
189#2416C2214yescomplemented
190#2414C2212yes—
191#2414C2212yes—
192#2410C2214yes—
193#2410C2214yes—
194#2408C2212yes—
195#2408C2212yes—
196#2407C2214yescomplemented
197#2407C2214yescomplemented
198#2407C2214yescomplemented
199#2404C2214yes—
200#2401C2212yescomplemented
201#2395C2212yes—
202#2388C2214yescomplemented
203#2369C2212yescomplemented
204#2367C2212yescomplemented
205#2366C2212yes—
206#2366C2211yescharacteristic
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2366C2212yes—
210#2366C2212yes—
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2364C2214yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2363C2214yescomplemented
218#2363C2212yescomplemented
219#2362C2212yes—
220#2361C2214yescomplemented
221#2359C2214yescomplemented
222#2358C2214yes—
223#2357C2212yescomplemented
224#2357C2212yescomplemented
225#2355C2211yescharacteristic, complemented
226#2354C2212yes—
227#2354C2212yescomplemented
228#2354C2211yescharacteristic, complemented
229#2354C2211yescharacteristic, complemented
230Q8×C4⋊C4C2211yescharacteristic, complemented
231D4×C4⋊C4C2212yescomplemented
232#2347C2212yescomplemented
233#2342C2214yes—
234#2341C2212yescomplemented
235#2339C2212yescomplemented
236#2339C2212yescomplemented
237#2339C2212yescomplemented
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2212yes—
244#2337C2212yes—
245#2335C2212yes—
246#2334C2212yescomplemented
247#2333C2214yescomplemented
248#2332C2212yescomplemented
249#2331C2211yescharacteristic, complemented
250#2328C2212yes—
251#2328C2212yes—
252#2328C2212yescomplemented
253#2326C2211yescharacteristic, complemented
254#2326C2212yescomplemented
255#2325C2214yescomplemented
256#2324C2211yescharacteristic
257#2323C2211yescharacteristic
258#2321C2214yes—
259#2320C2211yescharacteristic, complemented
260#2319C2211yescharacteristic, complemented
261#2319C2212yescomplemented
262#2314C2211yescharacteristic
263#2309C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#127C2212yescomplemented
270C4×#125C2211yescharacteristic, complemented
271C4×#126C2212yescomplemented
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic, complemented
274C4×#124C2211yescharacteristic, complemented
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2212yes—
279C4×#123C2214yescomplemented
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2214yescomplemented
286C4×#121C2212yescomplemented
287#2297C2212yescomplemented
288#2295C2211yescharacteristic, complemented
289#2290C2212yes—
290C2×#388C2214yes—
291#2285C2211yescharacteristic
292#2283C2212yescomplemented
293#2275C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#554—48no—
306#550—28no—
307#550—28no—
308#546—216no—
309#546—48no—
310#542—28no—
311#532—48no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127—28no—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372#518—48no—
373C4×#41—48no—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C22×C4⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427C22×C42C2314yes—
428C22×C42C2312yes—
429#401C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2312yes—
713#383C2312yes—
714#383C2312yes—
715#383C2314yes—
716#383C2312yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813#376C2311yescharacteristic
814#376C2312yes—
815#376C2311yescharacteristic
816C2×#95C2314yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—48no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—84no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—82no—
843C22×D4—82no—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C4⋊Q8—24no—
884C4⋊Q8—28no—
885C4⋊Q8—44no—
886#127—28no—
887#127—28no—
888#127—28no—
889#127—28no—
890#127—28no—
891#127—24no—
892#127—44no—
893#127—44no—
894#127#4118yescomplemented
895#126—28no—
896#126—84no—
897#125—24no—
898#125—44no—
899#124—24no—
900#124—28no—
901#124—28no—
902#124—48no—
903#124—42no—
904#124—44no—
905#124—48no—
906#124—84no—
907#123—216no—
908#123—28no—
909#123—48no—
910#123—84no—
911C22⋊Q8—28no—
912C22⋊Q8—24no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—84no—
917C22⋊Q8#4118yescomplemented
918#121—28no—
919#121—28no—
920#121—216no—
921#121—216no—
922#121—24no—
923#121—28no—
924#121—216no—
925#121—28no—
926#121—48no—
927#121—48no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—84no—
935#121—84no—
936#121—84no—
937#120—216no—
938#120—48no—
939#120—84no—
940#120—84no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—24no—
944C4×Q8—24no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—48no—
970C4×D4—44no—
971C4×D4—48no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—48no—
975C4×D4—82no—
976C4×D4—84no—
977C4×D4—82no—
978C4×D4—82no—
979C4×D4—82no—
980C4×D4—84no—
981#117—24no—
982#117—24no—
983#117—48no—
984#117—44no—
985#117—44no—
986#117—44no—
987C2×C4⋊C4—48no—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C22⋊C4—216no—
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—48no—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C42—24no—
1113C2×C42—28no—
1114C2×C42—48no—
1115C2×C42—44no—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
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—
1215C24—28no—
1216C24—28no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24C2514yes—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2514yes—
1227#41—432no—
1228#41—832no—
1229#41—816no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—28no—
1236C2×Q8—22no—
1237C2×Q8—42no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—42no—
1241C2×Q8C2×#4114yes—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—28no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—432no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—816no—
1307C2×D4—816no—
1308C2×D4C2×#4118yes—
1309C2×D4C2×#4118yes—
1310C2×D4C2×#4118yes—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—28no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—28no—
1334C22×C4—28no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4C2×#4114yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4C2×#4114yes—
1441C4⋊C4C2×#4118yes—
1442C4⋊C4H(5,𝔽2)14yes—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4C2×#4118yes—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—44no—
1533C42—42no—
1534C42—44no—
1535C42—42no—
1536C42—44no—
1537C42—44no—
1538C42—41no—
1539C42—42no—
1540C42—41no—
1541C42—41no—
1542C42—41no—
1543C42—44no—
1544C42—42no—
1545C42C2×#4114yes—
1546C42H(5,𝔽2)14yes—
1547C23—24no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—24no—
1552C23—24no—
1553C23—24no—
1554C23—21no—
1555C23—24no—
1556C23—24no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—24no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—416no—
1581C23—88no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—164no—
1586C23—164no—
1587C23C22×#4112yes—
1588C23C22×#4118yes—
1589C23C2611yescharacteristic
1590Q8—28no—
1591Q8—44no—
1592Q8—84no—
1593Q8—88no—
1594D4—216no—
1595D4—216no—
1596D4—48no—
1597D4—416no—
1598D4—416no—
1599D4—48no—
1600D4—44no—
1601D4—48no—
1602D4—44no—
1603D4—48no—
1604D4—88no—
1605D4—88no—
1606D4—84no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—28no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—48no—
1695C2×C4—416no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—88no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—88no—
1707C2×C4—88no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4114yes—
1712C2×C4C22×#4114yes—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)14yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4#58512yes—
1723C22—22no—
1724C22—22no—
1725C22—28no—
1726C22—28no—
1727C22—22no—
1728C22—28no—
1729C22—44no—
1730C22—44no—
1731C22—41no—
1732C22—41no—
1733C22—44no—
1734C22—41no—
1735C22—44no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—1616no—
1759C22C23×#4111yescharacteristic
1760C22C23×#4111yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22H(7,𝔽2)11yescharacteristic
1765C22H(7,𝔽2)11yescharacteristic
1766C4—24no—
1767C4—22no—
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—41no—
1790C4—44no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4#348114yes—
1795C4#351414yes—
1796C2—48no—
1797C2—42no—
1798C2—82no—
1799C2—82no—
1800C2—84no—
1801C2C2×#348111yescharacteristic
1802C2C2×#351411yescharacteristic
1803C2#6284611yescharacteristic
1804C2#6291211yescharacteristic
1805C2#6295511yescharacteristic
1806C2#6298611yescharacteristic
1807C2#6300611yescharacteristic
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. #59905C2semidirect
2. #59646C2semidirect
3. #59640C2semidirect
4. #59458C2semidirect
5. #59419C2semidirect
6. #59382C2semidirect
7. #59245C2semidirect
8. #59228C2semidirect
9. #59124C2semidirect
10. #59124C2semidirect
11. #59099C2semidirect
12. #59057C2semidirect
13. #45209C2semidirect
14. #45033C2semidirect
15. #45018C2semidirect
16. #44903C2semidirect
17. #44262C2semidirect
18. #44157C2semidirect
19. #40361C2semidirect
20. #40164C2semidirect
21. #40153C2semidirect
22. #38537C2semidirect
23. #36462C2semidirect
24. #36238C2semidirect
25. #35546C2semidirect
26. #35524C2semidirect
27. #35190C2semidirect
28. #35186C2semidirect
29. #34925C2semidirect
30. #34913C2semidirect
31. #34330C2semidirect
32. #34292C2semidirect
33. #34210C2semidirect
34. C4×#550C2semidirect
35. C4×#542C2semidirect
36. C2×#554C22semidirect
42. C2×#532C22semidirect
43. C2×#532C22semidirect
46. C2×C4×#41C22semidirect
47. #2861C22semidirect
48. #2860C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2803C22semidirect
52. #2803C22semidirect
54. #2778C22semidirect
56. #2753C22semidirect
57. #2752C22semidirect
58. #2749C22semidirect
59. #2743C22semidirect
61. #2730C22semidirect
62. #2730C22semidirect
63. #2714C22semidirect
64. #2714C22semidirect
65. #2703C22semidirect
66. #2699C22semidirect
67. #2696C22semidirect
68. #2692C22semidirect
69. #2688C22semidirect
75. #2651C22semidirect
76. #2635C22semidirect
77. #2635C22semidirect
78. #2602C22semidirect
79. #2600C22semidirect
80. #2598C22semidirect
81. #2598C22semidirect
82. #2593C22semidirect
83. #2592C22semidirect
84. #2591C22semidirect
85. #2588C22semidirect
86. #2582C22semidirect
87. #2580C22semidirect
89. #2578C22semidirect
90. #2577C22semidirect
92. #2575C22semidirect
93. #2572C22semidirect
94. #2572C22semidirect
95. #2568C22semidirect
98. #2560C22semidirect
99. #2559C22semidirect
100. #2557C22semidirect
101. #2555C22semidirect
102. #2554C22semidirect
103. #2552C22semidirect
104. #2551C22semidirect
107. #2548C22semidirect
108. #2548C22semidirect
109. #2544C22semidirect
110. #2543C22semidirect
111. #2542C22semidirect
116. #2540C22semidirect
117. #2537C22semidirect
119. #2518C22semidirect
120. #2516C22semidirect
121. #2514C22semidirect
122. #2513C22semidirect
123. #2512C22semidirect
124. #2511C22semidirect
125. #2510C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2500C22semidirect
129. #2500C22semidirect
130. #2500C22semidirect
133. #2495C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
141. #2488C22semidirect
142. #2488C22semidirect
146. #2468C22semidirect
147. #2459C22semidirect
148. #2459C22semidirect
149. #2459C22semidirect
150. #2457C22semidirect
151. #2457C22semidirect
152. #2456C22semidirect
153. #2454C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2452C22semidirect
157. #2452C22semidirect
158. #2452C22semidirect
159. #2449C22semidirect
160. #2448C22semidirect
161. #2447C22semidirect
162. #2447C22semidirect
165. #2445C22semidirect
166. #2444C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
181. #2427C22semidirect
183. #2422C22semidirect
185. #2420C22semidirect
186. #2420C22semidirect
187. #2420C22semidirect
189. #2416C22semidirect
196. #2407C22semidirect
197. #2407C22semidirect
198. #2407C22semidirect
200. #2401C22semidirect
202. #2388C22semidirect
203. #2369C22semidirect
204. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2364C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
220. #2361C22semidirect
221. #2359C22semidirect
223. #2357C22semidirect
224. #2357C22semidirect
225. #2355C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
229. #2354C22semidirect
230. Q8×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. #2347C22semidirect
234. #2341C22semidirect
235. #2339C22semidirect
236. #2339C22semidirect
237. #2339C22semidirect
246. #2334C22semidirect
247. #2333C22semidirect
248. #2332C22semidirect
249. #2331C22semidirect
252. #2328C22semidirect
253. #2326C22semidirect
254. #2326C22semidirect
255. #2325C22semidirect
259. #2320C22semidirect
260. #2319C22semidirect
261. #2319C22semidirect
264. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×#126C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. #2297C22semidirect
288. #2295C22semidirect
292. #2283C22semidirect
293. #2275C22semidirect
294. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
894. #127#41semidirect
917. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599052
#596462
#596402
#594582
#594192
#593822
#592452
#592282
#591242
#590992
#590572
#452092
#450332
#450182
#449032
#442622
#441572
#403612
#401642
#401532
#385372
#364622
#362382
#355462
#355242
#351902
#351862
#349252
#349132
#343302
#342922
#342102
C4×#5502
C4×#5422