Finite Group Databasebeta

← #7709335

Subgroups — #7709335

Order 512.

4884 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59699C212yesmaximal, complemented
2#59659C211yesmaximal, characteristic, complemented
3#59485C212yesmaximal, complemented
4#59435C211yesmaximal, characteristic, complemented
5#59434C211yesmaximal, characteristic, complemented
6#59421C211yesmaximal, characteristic, complemented
7#46196C212yesmaximal, complemented
8#46083C212yesmaximal, complemented
9#45923C214yesmaximal, complemented
10#40291C214yesmaximal, complemented
11#40131C212yesmaximal, complemented
12#40083C212yesmaximal, complemented
13#39290C214yesmaximal, complemented
14#39285C212yesmaximal, complemented
15#39194C211yesmaximal, characteristic, complemented
16#39172C211yesmaximal, characteristic, complemented
17#39155C212yesmaximal, complemented
18#39123C212yesmaximal, complemented
19#39071C212yesmaximal, complemented
20#38978C211yesmaximal, characteristic, complemented
21#38958C211yesmaximal, characteristic, complemented
22#37492C212yesmaximal, complemented
23#36988C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
27Q8×#121C211yesmaximal, characteristic, complemented
28#36204C212yesmaximal, complemented
29#36203C212yesmaximal, complemented
30#36161C211yesmaximal, characteristic, complemented
31#36160C211yesmaximal, characteristic
32#35033C212yesmaximal, complemented
33#35023C212yesmaximal, complemented
34#34475C212yesmaximal, complemented
35C2×C4×#124C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic
38C2×#555C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2866C2212yescomplemented
45#2865C2212yescomplemented
46#2864C2212yescomplemented
47#2864C2211yescharacteristic, complemented
48#2863C2212yescomplemented
49#2863C2212yescomplemented
50#2863C2211yescharacteristic, complemented
51#2862C2211yescharacteristic, complemented
52#2861C2211yescharacteristic, complemented
53#2860C2211yescharacteristic, complemented
54#2859C2211yescharacteristic, complemented
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2212yes—
58#2857C2212yes—
59#2855C2212yes—
60#2855C2212yes—
61#2855C2211yescharacteristic
62#2854C2211yescharacteristic
63#2853C2212yes—
64#2852C2212yes—
65#2851C2212yes—
66#2851C2211yescharacteristic
67#2850C2211yescharacteristic
68#2848C2212yes—
69#2847C2212yes—
70#2830C2214yes—
71#2829C2214yes—
72#2801C2214yescomplemented
73#2800C2214yescomplemented
74#2800C2214yescomplemented
75#2800C2214yescomplemented
76#2795C2214yescomplemented
77#2793C2214yescomplemented
78#2793C2214yescomplemented
79#2789C2214yescomplemented
80#2783C2214yescomplemented
81#2777C2214yescomplemented
82#2777C2214yescomplemented
83#2775C2214yescomplemented
84#2775C2214yescomplemented
85#2772C2214yescomplemented
86#2772C2214yescomplemented
87#2767C2214yescomplemented
88#2759C2214yescomplemented
89#2759C2214yescomplemented
90#2754C2214yescomplemented
91#2741C2214yescomplemented
92#2740C2214yescomplemented
93#2737C2214yescomplemented
94#2731C2214yes—
95#2731C2214yes—
96#2731C2214yescomplemented
97#2730C2214yes—
98#2730C2214yes—
99#2716C2214yescomplemented
100#2716C2214yescomplemented
101#2702C2214yescomplemented
102#2700C2214yescomplemented
103#2700C2214yescomplemented
104#2662C2214yes—
105#2651C2214yes—
106#2644C2212yes—
107#2643C2214yes—
108#2640C2212yes—
109#2626C2214yes—
110#2626C2214yes—
111#2624C2212yes—
112#2622C2214yes—
113#2620C2212yes—
114#2608C2214yescomplemented
115#2608C2214yescomplemented
116#2607C2214yescomplemented
117#2607C2214yescomplemented
118#2604C2214yescomplemented
119#2597C2214yescomplemented
120#2595C2214yescomplemented
121#2594C2214yescomplemented
122#2582C2212yescomplemented
123#2582C2211yescharacteristic, complemented
124#2578C2214yescomplemented
125#2576C2214yescomplemented
126#2573C2214yescomplemented
127#2572C2214yescomplemented
128#2571C2212yescomplemented
129#2568C2212yescomplemented
130#2567C2211yescharacteristic, complemented
131#2567C2212yescomplemented
132#2563C2211yescharacteristic
133#2561C2214yes—
134#2560C2214yescomplemented
135#2547C2211yescharacteristic
136#2546C2211yescharacteristic, complemented
137#2546C2212yescomplemented
138#2545C2212yes—
139#2545C2212yes—
140#2545C2214yescomplemented
141#2538C2211yescharacteristic
142#2538C2212yescomplemented
143#2538C2211yescharacteristic, complemented
144#2537C2211yescharacteristic
145#2534C2214yes—
146#2532C2214yescomplemented
147#2527C2214yescomplemented
148#2526C2214yescomplemented
149#2525C2214yescomplemented
150#2523C2214yescomplemented
151#2521C2214yescomplemented
152#2518C2214yescomplemented
153#2514C2212yescomplemented
154#2512C2212yes—
155#2512C2214yescomplemented
156#2509C2212yescomplemented
157#2500C2212yescomplemented
158#2499C2212yescomplemented
159#2499C2212yescomplemented
160#2497C2212yescomplemented
161#2496C2212yescomplemented
162#2495C2212yescomplemented
163#2495C2212yescomplemented
164#2494C2212yescomplemented
165#2494C2212yescomplemented
166#2494C2212yescomplemented
167#2493C2214yes—
168#2492C2212yescomplemented
169#2491C2212yes—
170#2491C2212yescomplemented
171#2490C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yes—
174#2485C2212yes—
175#2485C2212yes—
176#2480C2214yes—
177#2480C2214yes—
178#2472C2214yes—
179#2472C2214yes—
180#2466C2214yes—
181#2459C2214yes—
182#2451C2212yescomplemented
183#2451C2214yescomplemented
184#2448C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2447C2212yes—
188#2441C2212yescomplemented
189#2441C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2440C2212yes—
193#2440C2214yes—
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2439C2212yescomplemented
200#2439C2212yescomplemented
201#2436C2212yes—
202#2436C2212yes—
203#2435C2212yes—
204#2429C2212yescomplemented
205#2429C2214yescomplemented
206#2427C2212yescomplemented
207#2426C2212yes—
208#2426C2212yes—
209#2426C2212yes—
210#2426C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2421C2212yescomplemented
214#2420C2212yes—
215#2420C2212yescomplemented
216#2420C2212yescomplemented
217#2417C2212yes—
218#2417C2214yes—
219#2415C2212yes—
220#2414C2212yes—
221#2408C2212yes—
222#2381C2214yescomplemented
223#2378C2214yescomplemented
224#2373C2214yescomplemented
225#2372C2214yescomplemented
226#2368C2214yes—
227#2367C2212yes—
228#2365C2212yescomplemented
229#2363C2212yes—
230#2363C2212yescomplemented
231#2362C2212yescomplemented
232#2362C2212yescomplemented
233#2360C2212yes—
234#2356C2212yescomplemented
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2353C2214yes—
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic, complemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241Q8×C4⋊C4C2212yescomplemented
242#2347C2212yescomplemented
243#2346C2212yescomplemented
244Q8×C22⋊C4C2212yes—
245Q8×C22⋊C4C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247#2332C2214yescomplemented
248#2331C2214yescomplemented
249#2329C2214yes—
250#2329C2214yes—
251#2327C2212yescomplemented
252#2323C2212yescomplemented
253#2321C2214yes—
254#2320C2212yescomplemented
255#2318C2214yes—
256#2310C2212yescomplemented
257C4×C4⋊Q8C2211yescharacteristic, complemented
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×#125C2212yescomplemented
260C4×#125C2211yescharacteristic, complemented
261C4×#126C2212yescomplemented
262C4×#124C2212yes—
263C4×#124C2211yescharacteristic
264C4×#124C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2211yescharacteristic, complemented
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282#2298C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2295C2212yescomplemented
285#2295C2212yescomplemented
286C2×#391C2211yescharacteristic
287#2293C2211yescharacteristic, complemented
288C2×#390C2211yescharacteristic
289#2290C2212yes—
290C2×#388C2212yes—
291C2×#388C2212yes—
292#2283C2212yes—
293C2×#382C2211yescharacteristic
294#2280C2212yes—
295#2280C2212yes—
296C2×C4×C22⋊C4C2212yes—
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303Q82—44no—
304#556—44no—
305#555—44no—
306D4×Q8—216no—
307D4×Q8—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#124—28no—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#120C2314yes—
351C2×C4×Q8—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4—44no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399#401C2314yes—
400#401C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
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#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2312yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#383C2312yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2314yes—
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8—28no—
820C22×Q8—42no—
821C22×Q8—42no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8#4118yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×Q8C2412yes—
833C22×D4—24no—
834C22×D4—42no—
835C22×D4—42no—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C4⋊Q8—28no—
863C4⋊Q8—216no—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—48no—
870#126—44no—
871#126—48no—
872#126—48no—
873#125—42no—
874#125—44no—
875#124—24no—
876#124—24no—
877#124—24no—
878#124—24no—
879#124—28no—
880#124—28no—
881#124—48no—
882#124—42no—
883#124—44no—
884#124—44no—
885#124—48no—
886#123—44no—
887C22⋊Q8—28no—
888C22⋊Q8—216no—
889C22⋊Q8—28no—
890C22⋊Q8—216no—
891C22⋊Q8—24no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—24no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#120—48no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—28no—
919C4×D4—216no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C22⋊C4—28no—
997C2×C22⋊C4—28no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42—42no—
1062C2×C42—42no—
1063C2×C42—42no—
1064C2×C42—42no—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24—24no—
1182C24—24no—
1183C24—24no—
1184C24—42no—
1185C24—42no—
1186C24—42no—
1187C24—42no—
1188C24C2512yes—
1189C24C2512yes—
1190C24C2512yes—
1191C24C2511yescharacteristic
1192C2×Q8—24no—
1193C2×Q8—28no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—416no—
1214C2×Q8—816no—
1215C2×Q8C2×#4114yes—
1216C2×Q8C2×#4114yes—
1217C2×Q8C2×#4118yes—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—416no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—816no—
1286C22×C4C2×#4114yes—
1287C22×C4C2×#4118yes—
1288C22×C42−1+414yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
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⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—28no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—28no—
1459C42—41no—
1460C42—41no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—41no—
1465C42—41no—
1466C42—41no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42H(5,𝔽2)14yes—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—48no—
1505C23—48no—
1506C23—48no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23C22×#4112yes—
1512C23C2×2−1+412yes—
1513C23#58512yes—
1514C23C2611yescharacteristic
1515Q8—28no—
1516Q8—28no—
1517Q8—48no—
1518Q8—48no—
1519Q8—44no—
1520Q8—84no—
1521Q8—88no—
1522Q8—164no—
1523D4—48no—
1524D4—48no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—164no—
1529D4—164no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—28no—
1543C2×C4—28no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—88no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4114yes—
1630C2×C4C22×#4112yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—816no—
1667C22#351814yes—
1668C22C23×#4111yescharacteristic
1669C22C22×H(5,𝔽2)11yescharacteristic
1670C22C22×2−1+411yescharacteristic
1671C22C2×#58511yescharacteristic
1672C22C2×#58511yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—24no—
1679C4—24no—
1680C4—22no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—44no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4#350514yes—
1705C4#356114yes—
1706C2—24no—
1707C2—82no—
1708C2—82no—
1709C2—82no—
1710C2C2×#356111yescharacteristic
1711C2#6275211yescharacteristic
1712C2C2×#350511yescharacteristic
1713C2C2×#351811yescharacteristic
1714C2#6279311yescharacteristic
1715C2#6282711yescharacteristic
1716C2#6283011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36160C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59699C2semidirect
2. #59659C2semidirect
3. #59485C2semidirect
4. #59435C2semidirect
5. #59434C2semidirect
6. #59421C2semidirect
7. #46196C2semidirect
8. #46083C2semidirect
9. #45923C2semidirect
10. #40291C2semidirect
11. #40131C2semidirect
12. #40083C2semidirect
13. #39290C2semidirect
14. #39285C2semidirect
15. #39194C2semidirect
16. #39172C2semidirect
17. #39155C2semidirect
18. #39123C2semidirect
19. #39071C2semidirect
20. #38978C2semidirect
21. #38958C2semidirect
22. #37492C2semidirect
23. #36988C2semidirect
24. #36638C2semidirect
25. #36635C2semidirect
26. Q8×C22⋊Q8C2semidirect
27. Q8×#121C2semidirect
28. #36204C2semidirect
29. #36203C2semidirect
30. #36161C2semidirect
32. #35033C2semidirect
33. #35023C2semidirect
34. #34475C2semidirect
35. C2×C4×#124C2semidirect
36. C2×Q82C22semidirect
40. C2×D4×Q8C22semidirect
44. #2866C22semidirect
45. #2865C22semidirect
46. #2864C22semidirect
47. #2864C22semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2863C22semidirect
51. #2862C22semidirect
52. #2861C22semidirect
53. #2860C22semidirect
54. #2859C22semidirect
72. #2801C22semidirect
73. #2800C22semidirect
74. #2800C22semidirect
75. #2800C22semidirect
76. #2795C22semidirect
77. #2793C22semidirect
78. #2793C22semidirect
79. #2789C22semidirect
80. #2783C22semidirect
81. #2777C22semidirect
82. #2777C22semidirect
83. #2775C22semidirect
84. #2775C22semidirect
85. #2772C22semidirect
86. #2772C22semidirect
87. #2767C22semidirect
88. #2759C22semidirect
89. #2759C22semidirect
90. #2754C22semidirect
91. #2741C22semidirect
92. #2740C22semidirect
93. #2737C22semidirect
96. #2731C22semidirect
99. #2716C22semidirect
100. #2716C22semidirect
101. #2702C22semidirect
102. #2700C22semidirect
103. #2700C22semidirect
114. #2608C22semidirect
115. #2608C22semidirect
116. #2607C22semidirect
117. #2607C22semidirect
118. #2604C22semidirect
119. #2597C22semidirect
120. #2595C22semidirect
121. #2594C22semidirect
122. #2582C22semidirect
123. #2582C22semidirect
124. #2578C22semidirect
125. #2576C22semidirect
126. #2573C22semidirect
127. #2572C22semidirect
128. #2571C22semidirect
129. #2568C22semidirect
130. #2567C22semidirect
131. #2567C22semidirect
134. #2560C22semidirect
136. #2546C22semidirect
137. #2546C22semidirect
140. #2545C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
146. #2532C22semidirect
147. #2527C22semidirect
148. #2526C22semidirect
149. #2525C22semidirect
150. #2523C22semidirect
151. #2521C22semidirect
152. #2518C22semidirect
153. #2514C22semidirect
155. #2512C22semidirect
156. #2509C22semidirect
157. #2500C22semidirect
158. #2499C22semidirect
159. #2499C22semidirect
160. #2497C22semidirect
161. #2496C22semidirect
162. #2495C22semidirect
163. #2495C22semidirect
164. #2494C22semidirect
165. #2494C22semidirect
166. #2494C22semidirect
168. #2492C22semidirect
170. #2491C22semidirect
171. #2490C22semidirect
172. #2489C22semidirect
182. #2451C22semidirect
183. #2451C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2439C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2427C22semidirect
210. #2426C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2421C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
222. #2381C22semidirect
223. #2378C22semidirect
224. #2373C22semidirect
225. #2372C22semidirect
228. #2365C22semidirect
230. #2363C22semidirect
231. #2362C22semidirect
232. #2362C22semidirect
234. #2356C22semidirect
239. Q8×C4⋊C4C22semidirect
240. Q8×C4⋊C4C22semidirect
241. Q8×C4⋊C4C22semidirect
242. #2347C22semidirect
243. #2346C22semidirect
245. Q8×C22⋊C4C22semidirect
246. Q8×C22⋊C4C22semidirect
247. #2332C22semidirect
248. #2331C22semidirect
251. #2327C22semidirect
252. #2323C22semidirect
254. #2320C22semidirect
256. #2310C22semidirect
257. C4×C4⋊Q8C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×#125C22semidirect
260. C4×#125C22semidirect
261. C4×#126C22semidirect
274. C4×#124C22semidirect
282. #2298C22semidirect
283. #2295C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
287. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#596992
#596592
#594852
#594352
#594342
#594212
#461962
#460832
#459232
#402912
#401312
#400832
#392902
#392852
#391942
#391722
#391552
#391232
#390712
#389782
#389582
#374922
#369882
#366382
#366352
Q8×C22⋊Q82
Q8×#1212
#362042
#362032
#361612
#361602
#350332
#350232
#344752
C2×C4×#1242