Finite Group Databasebeta

← #7709796

Subgroups — #7709796

Order 512.

5981 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59267C212yesmaximal, complemented
2#59089C212yesmaximal, complemented
3#58998C211yesmaximal, characteristic, complemented
4#58997C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#45758C212yesmaximal, complemented
7#45741C212yesmaximal, complemented
8#45708C212yesmaximal, complemented
9#45697C211yesmaximal, characteristic, complemented
10#45683C211yesmaximal, characteristic, complemented
11#39198C212yesmaximal, complemented
12#39166C212yesmaximal, complemented
13#38983C212yesmaximal, complemented
14#38949C212yesmaximal, complemented
15#38537C214yesmaximal, complemented
16#38506C214yesmaximal, complemented
17#38283C214yesmaximal, complemented
18#38246C214yesmaximal, complemented
19#37483C212yesmaximal, complemented
20#37035C212yesmaximal, complemented
21#37034C212yesmaximal, complemented
22C2×#2850C212yesmaximal, complemented
23#36172C212yesmaximal, complemented
24#36172C212yesmaximal, complemented
25#36124C212yesmaximal, complemented
26D4×#124C212yesmaximal, complemented
27#35190C211yesmaximal, characteristic, complemented
28#35136C212yesmaximal, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34468C212yesmaximal, complemented
31C4×#525C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×D42C2212yes—
36C2×D42C2212yes—
37C2×#532C2211yescharacteristic, complemented
38C22×#124C2212yescomplemented
39C22×#124C2211yescharacteristic, complemented
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2212yescomplemented
42C22×#121C2212yes—
43C2×C4×#41C2211yescharacteristic, complemented
44C23×C42C2211yescharacteristic, complemented
45#2864C2212yescomplemented
46#2858C2212yescomplemented
47#2850C2212yes—
48#2850C2212yes—
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2850C2212yescomplemented
52#2850C2212yescomplemented
53#2850C2214yescomplemented
54#2850C2214yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2850C2214yescomplemented
58#2850C2214yescomplemented
59#2850C2212yescomplemented
60#2850C2212yescomplemented
61#2826C2212yescomplemented
62#2825C2214yescomplemented
63#2824C2212yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2795C2214yescomplemented
70#2788C2214yescomplemented
71#2778C2214yescomplemented
72#2775C2214yescomplemented
73#2760C2212yescomplemented
74#2759C2214yescomplemented
75#2756C2214yescomplemented
76#2752C2212yescomplemented
77#2749C2214yescomplemented
78#2746C2214yescomplemented
79#2745C2214yescomplemented
80#2737C2214yescomplemented
81#2735C2214yescomplemented
82#2731C2214yescomplemented
83#2730C2214yescomplemented
84#2729C2214yescomplemented
85#2728C2214yescomplemented
86#2710C2214yescomplemented
87#2709C2212yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2699C2214yescomplemented
91#2697C2214yescomplemented
92#2697C2212yescomplemented
93#2683C2212yescomplemented
94#2681C2214yescomplemented
95#2678C2214yescomplemented
96#2677C2212yescomplemented
97#2676C2214yescomplemented
98#2675C2212yes—
99#2669C2212yes—
100#2651C2214yescomplemented
101#2648C2214yescomplemented
102#2643C2214yescomplemented
103#2639C2214yescomplemented
104#2635C2212yescomplemented
105#2635C2212yescomplemented
106#2632C2212yescomplemented
107#2631C2212yescomplemented
108#2622C2214yescomplemented
109#2617C2214yescomplemented
110#2610C2212yescomplemented
111#2610C2212yescomplemented
112#2598C2212yescomplemented
113#2598C2212yescomplemented
114#2592C2212yescomplemented
115#2576C2214yescomplemented
116#2576C2214yescomplemented
117#2568C2211yescharacteristic, complemented
118#2564C2214yescomplemented
119#2555C2214yescomplemented
120#2555C2214yescomplemented
121#2548C2212yescomplemented
122#2548C2211yescharacteristic, complemented
123#2547C2212yescomplemented
124#2545C2212yescomplemented
125#2544C2212yescomplemented
126#2543C2214yescomplemented
127#2542C2211yescharacteristic, complemented
128#2541C2211yescharacteristic
129#2540C2212yescomplemented
130#2531C2214yescomplemented
131#2529C2214yescomplemented
132#2529C2214yescomplemented
133#2526C2214yescomplemented
134#2518C2214yescomplemented
135#2518C2214yescomplemented
136#2515C2214yescomplemented
137#2515C2214yescomplemented
138#2514C2212yescomplemented
139#2514C2212yescomplemented
140#2513C2212yescomplemented
141#2513C2212yescomplemented
142#2510C2214yescomplemented
143#2510C2214yescomplemented
144#2510C2214yescomplemented
145#2500C2212yescomplemented
146#2491C2214yescomplemented
147#2491C2214yescomplemented
148#2482C2212yescomplemented
149#2476C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2472C2214yescomplemented
156#2471C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2214yescomplemented
159#2450C2214yescomplemented
160#2449C2214yescomplemented
161#2448C2212yescomplemented
162#2447C2212yescomplemented
163#2446C2212yescomplemented
164#2445C2212yescomplemented
165#2444C2214yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2440C2214yescomplemented
169#2437C2214yescomplemented
170#2437C2212yescomplemented
171#2436C2212yes—
172#2436C2212yescomplemented
173#2435C2212yescomplemented
174#2435C2212yescomplemented
175#2434C2212yescomplemented
176#2433C2212yes—
177#2432C2212yescomplemented
178#2431C2212yescomplemented
179#2431C2212yescomplemented
180#2429C2212yescomplemented
181#2428C2212yes—
182#2427C2212yescomplemented
183#2426C2212yescomplemented
184#2424C2214yes—
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2421C2212yescomplemented
188#2421C2212yescomplemented
189#2420C2212yescomplemented
190#2420C2212yescomplemented
191#2418C2214yescomplemented
192#2417C2212yescomplemented
193#2417C2212yescomplemented
194#2416C2212yes—
195#2416C2212yes—
196#2416C2214yescomplemented
197#2412C2214yescomplemented
198#2410C2214yes—
199#2410C2214yescomplemented
200#2410C2214yescomplemented
201#2409C2211yescharacteristic, complemented
202#2409C2211yescharacteristic, complemented
203#2408C2211yescharacteristic
204#2408C2211yescharacteristic, complemented
205#2407C2212yescomplemented
206#2407C2212yescomplemented
207#2404C2212yescomplemented
208#2403C2212yes—
209#2380C2212yescomplemented
210#2377C2214yescomplemented
211#2375C2212yescomplemented
212#2364C2214yescomplemented
213#2364C2214yescomplemented
214#2361C2212yes—
215#2361C2212yescomplemented
216#2360C2212yescomplemented
217#2360C2212yescomplemented
218#2358C2212yes—
219#2358C2214yescomplemented
220#2358C2214yescomplemented
221#2353C2214yescomplemented
222#2353C2214yescomplemented
223D4×C22⋊C4C2214yescomplemented
224D4×C22⋊C4C2214yescomplemented
225D4×C22⋊C4C2214yescomplemented
226#2335C2214yescomplemented
227#2333C2214yescomplemented
228#2328C2212yescomplemented
229#2326C2212yescomplemented
230#2325C2214yescomplemented
231#2321C2214yescomplemented
232#2321C2212yescomplemented
233#2321C2212yescomplemented
234#2318C2214yescomplemented
235#2308C2214yescomplemented
236C4×#124C2212yescomplemented
237C4×#124C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×#123C2211yescharacteristic, complemented
241C4×#123C2211yescharacteristic, complemented
242C4×#123C2211yescharacteristic, complemented
243C4×#123C2211yescharacteristic, complemented
244C4×#121C2212yescomplemented
245C4×#121C2212yescomplemented
246C4×#120C2211yescharacteristic
247C4×#120C2211yescharacteristic
248C4×#120C2211yescharacteristic, complemented
249C4×#120C2211yescharacteristic, complemented
250#2297C2211yescharacteristic, complemented
251#2296C2211yescharacteristic, complemented
252C2×#391C2212yescomplemented
253C2×#390C2212yescomplemented
254#2290C2212yescomplemented
255#2290C2212yescomplemented
256C2×#388C2214yescomplemented
257C2×#388C2214yescomplemented
258C2×#386C2214yescomplemented
259C2×#386C2214yescomplemented
260#2283C2211yescharacteristic, complemented
261#2283C2211yescharacteristic, complemented
262C2×#382C2212yescomplemented
263#2280C2211yescharacteristic, complemented
264C42×D4C2212yescomplemented
265C42×D4C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C23×Q8C2312yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2314yes—
272C23×D4C2314yes—
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278D4×Q8—48no—
279#548—48no—
280#546—48no—
281D42—216no—
282D42—48no—
283#532—44no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2314yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2311yescharacteristic
290C2×#124—44no—
291C2×#124—48no—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2314yes—
305#525—28no—
306C2×#123C2311yescharacteristic
307C2×#123C2311yescharacteristic
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8—48no—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121—48no—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#120C2314yes—
342C2×#120C2312yes—
343C2×#120C2311yescharacteristic
344C2×#120C2312yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2311yescharacteristic
350C4×#41—44no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C42—44no—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2314yes—
404#401C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2312yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2312yes—
444#395C2312yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#392C2312yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2312yes—
485#392C2312yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#386C2312yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2311yescharacteristic
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2311yescharacteristic
642#386C2312yes—
643#386C2311yescharacteristic
644#386C2312yes—
645#386C2311yescharacteristic
646#385C2314yes—
647#385C2314yes—
648#385C2311yescharacteristic
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2311yescharacteristic
663#385C2311yescharacteristic
664#385C2312yes—
665#385C2311yescharacteristic
666#385C2312yes—
667#384C2312yes—
668#383C2314yes—
669#383C2312yes—
670#383C2314yes—
671#383C2312yes—
672#382C2312yes—
673#382C2314yes—
674#382C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#381C2314yes—
680#381C2314yes—
681#381C2312yes—
682#381C2312yes—
683#381C2314yes—
684#381C2311yescharacteristic
685#381C2311yescharacteristic
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2312yes—
696#379C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2312yes—
700#379C2311yescharacteristic
701#379C2314yes—
702#379C2314yes—
703#379C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2311yescharacteristic
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2311yescharacteristic
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2311yescharacteristic
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2312yes—
740#376C2312yes—
741#376C2312yes—
742C2×#95C2314yes—
743C2×#95C2314yes—
744C2×#95C2314yes—
745C2×#95C2314yes—
746C43C2312yes—
747C25C2411yescharacteristic
748C25C2414yes—
749C25C2412yes—
750C2×#41—24no—
751C2×#41—42no—
752C2×#41—42no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C22×Q8—28no—
757C22×Q8—44no—
758C22×Q8—44no—
759C22×Q8—42no—
760C22×Q8—44no—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2414yes—
765C22×Q8C2412yes—
766C22×D4—216no—
767C22×D4—216no—
768C22×D4—28no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—42no—
772C22×D4—44no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—48no—
776C22×D4—48no—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2411yescharacteristic
783C22×D4C2412yes—
784C22×D4C2411yescharacteristic
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2411yescharacteristic
797C23×C4—24no—
798C23×C4—28no—
799C23×C4—42no—
800C23×C4—42no—
801C23×C4—42no—
802C23×C4—42no—
803C23×C4—44no—
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—48no—
832#127—28no—
833#127—42no—
834#127—44no—
835#124—28no—
836#124—28no—
837#124—48no—
838#124—48no—
839#124—44no—
840#124—44no—
841#124—44no—
842#124—44no—
843#124—44no—
844#124—44no—
845#124—44no—
846#124—44no—
847#124—48no—
848#123—24no—
849#123—24no—
850#123—48no—
851#123—48no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8—48no—
859C22⋊Q8—48no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864#121—28no—
865#121—216no—
866#121—28no—
867#121—28no—
868#121—216no—
869#121—48no—
870#121—44no—
871#121—44no—
872#121—48no—
873#121—48no—
874#121—44no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—48no—
879#121—48no—
880#121—48no—
881#120—24no—
882#120—28no—
883#120—216no—
884#120—44no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120#4118yescomplemented
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—48no—
914#117—24no—
915#117—42no—
916#117—42no—
917#117—42no—
918#117—42no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4—48no—
964C2×C22⋊C4—48no—
965C2×C22⋊C4—48no—
966C2×C22⋊C4—48no—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C42—24no—
1037C2×C42—24no—
1038C2×C42—24no—
1039C2×C42—28no—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42—44no—
1043C2×C42—42no—
1044C2×C42—42no—
1045C2×C42—42no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123C24—24no—
1124C24—24no—
1125C24—28no—
1126C24—28no—
1127C24—28no—
1128C24—24no—
1129C24—41no—
1130C24—41no—
1131C24—44no—
1132C24—42no—
1133C24—44no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—42no—
1139C24C2×#4114yes—
1140C24C2514yes—
1141C24C2514yes—
1142C24C2511yescharacteristic
1143C24C2511yescharacteristic
1144C24C2511yescharacteristic
1145C24C2512yes—
1146#41—416no—
1147#41—816no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—28no—
1156C2×Q8—22no—
1157C2×Q8—41no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—816no—
1163C2×Q8—88no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—816no—
1221C2×D4—88no—
1222C2×D4—832no—
1223C2×D4—832no—
1224C2×D4C2×#4118yes—
1225C2×D4C2×#4114yes—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—416no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—416no—
1293C22×C4—416no—
1294C22×C4H(5,𝔽2)18yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2514yes—
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
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—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4C2×#4114yes—
1424C22⋊C4C2×#4118yes—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42H(5,𝔽2)14yes—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—216no—
1465C23—21no—
1466C23—24no—
1467C23—24no—
1468C23—24no—
1469C23—24no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—21no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23—21no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—48no—
1488C23—416no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—164no—
1500C23C22×#4112yes—
1501C23C22×#4112yes—
1502C23C22×#4114yes—
1503C23C2×H(5,𝔽2)14yes—
1504C23#58514yes—
1505C23C2611yescharacteristic
1506Q8—44no—
1507Q8—48no—
1508Q8—48no—
1509Q8—88no—
1510Q8—84no—
1511D4—216no—
1512D4—44no—
1513D4—44no—
1514D4—44no—
1515D4—48no—
1516D4—416no—
1517D4—416no—
1518D4—48no—
1519D4—48no—
1520D4—84no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—84no—
1527D4—84no—
1528D4—88no—
1529D4—164no—
1530D4—164no—
1531C2×C4—28no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—216no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—48no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4—164no—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4#58512yes—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—22no—
1630C22—22no—
1631C22—24no—
1632C22—24no—
1633C22—416no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—44no—
1642C22—44no—
1643C22—41no—
1644C22—44no—
1645C22—44no—
1646C22—41no—
1647C22—44no—
1648C22—44no—
1649C22—44no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—44no—
1654C22—44no—
1655C22—42no—
1656C22—44no—
1657C22—44no—
1658C22—44no—
1659C22—1616no—
1660C22—168no—
1661C22#351418yes—
1662C22C23×#4111yescharacteristic
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×H(5,𝔽2)12yes—
1665C22C2×#58512yes—
1666C22C2×#58511yescharacteristic
1667C4—24no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—24no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—44no—
1677C4—44no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—44no—
1685C4—44no—
1686C4—42no—
1687C4—44no—
1688C4—44no—
1689C4—42no—
1690C4—42no—
1691C4#353714yes—
1692C2—28no—
1693C2—42no—
1694C2—42no—
1695C2—81no—
1696C2—84no—
1697C2—84no—
1698C2C2×#353711yescharacteristic
1699C2#6272911yescharacteristic
1700C2#6277311yescharacteristic
1701C2C2×#351412yes—
1702C2#6283012yes—
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. #59267C2semidirect
2. #59089C2semidirect
3. #58998C2semidirect
4. #58997C2semidirect
5. #58996C2semidirect
6. #45758C2semidirect
7. #45741C2semidirect
8. #45708C2semidirect
9. #45697C2semidirect
10. #45683C2semidirect
11. #39198C2semidirect
12. #39166C2semidirect
13. #38983C2semidirect
14. #38949C2semidirect
15. #38537C2semidirect
16. #38506C2semidirect
17. #38283C2semidirect
18. #38246C2semidirect
19. #37483C2semidirect
20. #37035C2semidirect
21. #37034C2semidirect
22. C2×#2850C2semidirect
23. #36172C2semidirect
24. #36172C2semidirect
25. #36124C2semidirect
26. D4×#124C2semidirect
27. #35190C2semidirect
28. #35136C2semidirect
29. #35129C2semidirect
30. #34468C2semidirect
31. C4×#525C2semidirect
32. C2×D4×Q8C22semidirect
33. C2×#548C22semidirect
34. C2×#546C22semidirect
37. C2×#532C22semidirect
38. C22×#124C22semidirect
39. C22×#124C22semidirect
41. C22×C22⋊Q8C22semidirect
43. C2×C4×#41C22semidirect
44. C23×C42C22semidirect
45. #2864C22semidirect
46. #2858C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2850C22semidirect
52. #2850C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2850C22semidirect
59. #2850C22semidirect
60. #2850C22semidirect
61. #2826C22semidirect
62. #2825C22semidirect
63. #2824C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2795C22semidirect
70. #2788C22semidirect
71. #2778C22semidirect
72. #2775C22semidirect
73. #2760C22semidirect
74. #2759C22semidirect
75. #2756C22semidirect
76. #2752C22semidirect
77. #2749C22semidirect
78. #2746C22semidirect
79. #2745C22semidirect
80. #2737C22semidirect
81. #2735C22semidirect
82. #2731C22semidirect
83. #2730C22semidirect
84. #2729C22semidirect
85. #2728C22semidirect
86. #2710C22semidirect
87. #2709C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2699C22semidirect
91. #2697C22semidirect
92. #2697C22semidirect
93. #2683C22semidirect
94. #2681C22semidirect
95. #2678C22semidirect
96. #2677C22semidirect
97. #2676C22semidirect
100. #2651C22semidirect
101. #2648C22semidirect
102. #2643C22semidirect
103. #2639C22semidirect
104. #2635C22semidirect
105. #2635C22semidirect
106. #2632C22semidirect
107. #2631C22semidirect
108. #2622C22semidirect
109. #2617C22semidirect
110. #2610C22semidirect
111. #2610C22semidirect
112. #2598C22semidirect
113. #2598C22semidirect
114. #2592C22semidirect
115. #2576C22semidirect
116. #2576C22semidirect
117. #2568C22semidirect
118. #2564C22semidirect
119. #2555C22semidirect
120. #2555C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2547C22semidirect
124. #2545C22semidirect
125. #2544C22semidirect
126. #2543C22semidirect
127. #2542C22semidirect
129. #2540C22semidirect
130. #2531C22semidirect
131. #2529C22semidirect
132. #2529C22semidirect
133. #2526C22semidirect
134. #2518C22semidirect
135. #2518C22semidirect
136. #2515C22semidirect
137. #2515C22semidirect
138. #2514C22semidirect
139. #2514C22semidirect
140. #2513C22semidirect
141. #2513C22semidirect
142. #2510C22semidirect
143. #2510C22semidirect
144. #2510C22semidirect
145. #2500C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2482C22semidirect
149. #2476C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2472C22semidirect
156. #2471C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2450C22semidirect
160. #2449C22semidirect
161. #2448C22semidirect
162. #2447C22semidirect
163. #2446C22semidirect
164. #2445C22semidirect
165. #2444C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
168. #2440C22semidirect
169. #2437C22semidirect
170. #2437C22semidirect
172. #2436C22semidirect
173. #2435C22semidirect
174. #2435C22semidirect
175. #2434C22semidirect
177. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2429C22semidirect
182. #2427C22semidirect
183. #2426C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
189. #2420C22semidirect
190. #2420C22semidirect
191. #2418C22semidirect
192. #2417C22semidirect
193. #2417C22semidirect
196. #2416C22semidirect
197. #2412C22semidirect
199. #2410C22semidirect
200. #2410C22semidirect
201. #2409C22semidirect
202. #2409C22semidirect
204. #2408C22semidirect
205. #2407C22semidirect
206. #2407C22semidirect
207. #2404C22semidirect
209. #2380C22semidirect
210. #2377C22semidirect
211. #2375C22semidirect
212. #2364C22semidirect
213. #2364C22semidirect
215. #2361C22semidirect
216. #2360C22semidirect
217. #2360C22semidirect
219. #2358C22semidirect
220. #2358C22semidirect
221. #2353C22semidirect
222. #2353C22semidirect
223. D4×C22⋊C4C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2335C22semidirect
227. #2333C22semidirect
228. #2328C22semidirect
229. #2326C22semidirect
230. #2325C22semidirect
231. #2321C22semidirect
232. #2321C22semidirect
233. #2321C22semidirect
234. #2318C22semidirect
235. #2308C22semidirect
236. C4×#124C22semidirect
237. C4×#124C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×#123C22semidirect
241. C4×#123C22semidirect
242. C4×#123C22semidirect
243. C4×#123C22semidirect
244. C4×#121C22semidirect
245. C4×#121C22semidirect
248. C4×#120C22semidirect
249. C4×#120C22semidirect
250. #2297C22semidirect
251. #2296C22semidirect
252. C2×#391C22semidirect
253. C2×#390C22semidirect
254. #2290C22semidirect
255. #2290C22semidirect
256. C2×#388C22semidirect
257. C2×#388C22semidirect
258. C2×#386C22semidirect
259. C2×#386C22semidirect
260. #2283C22semidirect
261. #2283C22semidirect
262. C2×#382C22semidirect
263. #2280C22semidirect
264. C42×D4C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
889. #120#41semidirect

Maximal subgroups

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

subgroupindex
#592672
#590892
#589982
#589972
#589962
#457582
#457412
#457082
#456972
#456832
#391982
#391662
#389832
#389492
#385372
#385062
#382832
#382462
#374832
#370352
#370342
C2×#28502
#361722
#361242
D4×#1242
#351902
#351362
#351292
#344682
C4×#5252