Finite Group Databasebeta

← #7647676

Subgroups — #7647676

Order 512.

5106 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42737C212yesmaximal, complemented
2#42588C212yesmaximal, complemented
3#42561C212yesmaximal, complemented
4#42545C212yesmaximal, complemented
5#40813C214yesmaximal, complemented
6#40789C214yesmaximal, complemented
7#40154C212yesmaximal, complemented
8#40121C212yesmaximal, complemented
9#39406C212yesmaximal, complemented
10#39251C212yesmaximal, complemented
11#38506C214yesmaximal, complemented
12#37726C214yesmaximal, complemented
13#37591C212yesmaximal, complemented
14#37588C212yesmaximal, complemented
15#37327C212yesmaximal, complemented
16#37321C212yesmaximal, complemented
17#37293C212yesmaximal, complemented
18#37292C212yesmaximal, complemented
19#35575C211yesmaximal, characteristic, complemented
20#35541C211yesmaximal, characteristic, complemented
21#35530C211yesmaximal, characteristic, complemented
22#35529C211yesmaximal, characteristic, complemented
23#35277C212yesmaximal, complemented
24#35275C211yesmaximal, characteristic, complemented
25#35264C211yesmaximal, characteristic, complemented
26#35264C211yesmaximal, characteristic, complemented
27#35257C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic
29#35158C211yesmaximal, characteristic, complemented
30#35135C212yesmaximal, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2512C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#542C2214yescomplemented
40C2×#537C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C22×#126C2212yes—
44C2×#520C2211yescharacteristic
45C2×#518C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2868C2212yescomplemented
48#2861C2212yes—
49#2861C2212yes—
50#2859C2212yescomplemented
51#2858C2212yes—
52#2858C2212yes—
53#2857C2212yescomplemented
54#2856C2212yes—
55#2851C2212yescomplemented
56#2850C2212yes—
57#2850C2214yes—
58#2838C2214yescomplemented
59#2837C2214yescomplemented
60#2830C2214yescomplemented
61#2829C2214yescomplemented
62#2796C2214yescomplemented
63#2796C2214yescomplemented
64#2795C2214yescomplemented
65#2793C2214yescomplemented
66#2790C2214yescomplemented
67#2772C2214yescomplemented
68#2764C2214yescomplemented
69#2761C2214yescomplemented
70#2759C2214yescomplemented
71#2757C2214yescomplemented
72#2746C2214yescomplemented
73#2737C2214yescomplemented
74#2737C2214yescomplemented
75#2731C2214yescomplemented
76#2729C2214yescomplemented
77#2723C2214yescomplemented
78#2718C2214yescomplemented
79#2716C2214yescomplemented
80#2715C2214yescomplemented
81#2715C2214yescomplemented
82#2710C2214yescomplemented
83#2710C2214yescomplemented
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2702C2214yescomplemented
87#2701C2214yescomplemented
88#2698C2214yescomplemented
89#2692C2214yescomplemented
90#2691C2214yescomplemented
91#2686C2214yescomplemented
92#2674C2214yescomplemented
93#2672C2214yescomplemented
94#2665C2214yescomplemented
95#2662C2214yescomplemented
96#2660C2212yescomplemented
97#2660C2212yescomplemented
98#2654C2214yescomplemented
99#2653C2214yescomplemented
100#2651C2214yescomplemented
101#2649C2214yescomplemented
102#2641C2212yes—
103#2641C2212yes—
104#2640C2212yes—
105#2640C2212yes—
106#2640C2214yescomplemented
107#2639C2214yes—
108#2638C2214yescomplemented
109#2637C2214yescomplemented
110#2632C2214yescomplemented
111#2630C2214yescomplemented
112#2629C2212yescomplemented
113#2628C2212yescomplemented
114#2620C2212yes—
115#2620C2214yescomplemented
116#2619C2212yes—
117#2566C2212yes—
118#2566C2212yes—
119#2564C2214yes—
120#2563C2212yes—
121#2552C2212yescomplemented
122#2552C2212yescomplemented
123#2551C2212yescomplemented
124#2551C2212yescomplemented
125#2542C2212yes—
126#2530C2214yescomplemented
127#2529C2214yescomplemented
128#2521C2214yescomplemented
129#2515C2214yescomplemented
130#2514C2211yescharacteristic, complemented
131#2514C2211yescharacteristic, complemented
132#2513C2211yescharacteristic, complemented
133#2513C2211yescharacteristic, complemented
134#2512C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2211yescharacteristic, complemented
143#2512C2211yescharacteristic, complemented
144#2512C2214yescomplemented
145#2511C2211yescharacteristic, complemented
146#2511C2211yescharacteristic, complemented
147#2510C2212yes—
148#2510C2212yes—
149#2502C2212yescomplemented
150#2501C2212yescomplemented
151#2500C2212yescomplemented
152#2499C2212yescomplemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2214yescomplemented
162#2490C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2481C2212yes—
171#2481C2212yes—
172#2479C2214yescomplemented
173#2472C2214yes—
174#2472C2214yes—
175#2472C2214yes—
176#2472C2214yes—
177#2470C2214yescomplemented
178#2468C2214yescomplemented
179#2461C2214yescomplemented
180#2454C2212yes—
181#2454C2212yes—
182#2454C2212yescomplemented
183#2454C2212yescomplemented
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2452C2212yes—
187#2452C2212yes—
188#2452C2214yescomplemented
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2451C2212yescomplemented
193#2450C2214yes—
194#2449C2214yes—
195#2447C2212yes—
196#2447C2212yes—
197#2445C2212yes—
198#2445C2212yes—
199#2443C2214yes—
200#2443C2214yes—
201#2442C2212yescomplemented
202#2441C2212yescomplemented
203#2440C2214yes—
204#2440C2214yes—
205#2440C2212yescomplemented
206#2439C2212yescomplemented
207#2437C2214yes—
208#2437C2214yes—
209#2428C2212yes—
210#2428C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2424C2214yes—
214#2424C2214yes—
215#2423C2212yescomplemented
216#2423C2212yescomplemented
217#2422C2212yes—
218#2422C2212yes—
219#2422C2214yescomplemented
220#2422C2212yescomplemented
221#2422C2212yescomplemented
222#2420C2212yes—
223#2420C2212yes—
224#2417C2214yes—
225#2412C2214yes—
226#2412C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229C2×#397C2212yes—
230C2×#396C2212yes—
231#2363C2212yes—
232#2363C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2358C2214yes—
236#2358C2214yes—
237#2357C2211yescharacteristic, complemented
238#2357C2211yescharacteristic, complemented
239#2356C2211yescharacteristic, complemented
240#2356C2211yescharacteristic, complemented
241#2355C2211yescharacteristic, complemented
242#2355C2211yescharacteristic, complemented
243#2354C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245#2353C2212yes—
246#2353C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2335C2214yescomplemented
250#2334C2214yescomplemented
251#2331C2212yescomplemented
252#2331C2212yescomplemented
253#2330C2212yescomplemented
254#2330C2212yescomplemented
255#2329C2214yes—
256#2328C2212yes—
257#2326C2212yes—
258#2326C2214yescomplemented
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2309C2211yescharacteristic
267C4×C4⋊Q8C2212yescomplemented
268C4×C4⋊Q8C2212yescomplemented
269C4×#127C2212yes—
270C4×#125C2212yescomplemented
271C4×#125C2212yescomplemented
272C4×#126C2212yescomplemented
273C4×#126C2212yescomplemented
274C4×#124C2212yes—
275C4×C22⋊Q8C2214yes—
276#2298C2212yescomplemented
277#2298C2212yescomplemented
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2212yescomplemented
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—28no—
303#544—44no—
304#544—44no—
305#542—416no—
306#537—44no—
307#535—28no—
308#535—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#126—48no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363#520—44no—
364#518—44no—
365C4×#41—28no—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413#401C2312yes—
414#401C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2314yes—
535#391C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2314yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2314yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#383C2312yes—
719#383C2312yes—
720#383C2312yes—
721#383C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#381C2312yes—
733#381C2312yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#379C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C43C2312yes—
820C43C2312yes—
821C25C2412yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—48no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—84no—
872#127—28no—
873#127—44no—
874#126—216no—
875#126—28no—
876#126—48no—
877#126—48no—
878#126—48no—
879#126—44no—
880#125—28no—
881#125—28no—
882#125—44no—
883#125—44no—
884#125—44no—
885#125—44no—
886#124—28no—
887#124—48no—
888#124—48no—
889#124—48no—
890#124—48no—
891#124—44no—
892#124—84no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—84no—
897C22⋊Q8—216no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—84no—
906#121—28no—
907#121—28no—
908#121—48no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—84no—
915#120—216no—
916#120—48no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—48no—
920C4×Q8—44no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—48no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—84no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—28no—
939#117—28no—
940#117—44no—
941#117—44no—
942#117#4118yes—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—42no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4—82no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42—28no—
1087C2×C42—44no—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—24no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2514yes—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204#41—416no—
1205#41—416no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—28no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—416no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4C2×#4114yes—
1304C22×C4H(5,𝔽2)14yes—
1305C22×C42−1+414yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4C2×#4118yes—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—28no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—44no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42C2×#4118yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—48no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23C22×#4112yes—
1529C23C2×H(5,𝔽2)12yes—
1530C23C2×2−1+412yes—
1531C23C2611yescharacteristic
1532Q8—44no—
1533Q8—44no—
1534Q8—88no—
1535Q8—164no—
1536Q8—164no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—44no—
1542D4—44no—
1543D4—88no—
1544D4—88no—
1545D4—164no—
1546D4—164no—
1547D4—164no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—82no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—82no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4—164no—
1645C2×C4#542116yescomplemented
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4#58512yes—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—42no—
1665C22—42no—
1666C22—44no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—168no—
1686C22C2×#54214yes—
1687C22C23×#4111yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C22×2−1+411yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C222−1+611yescharacteristic
1694C4—22no—
1695C4—24no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—44no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4C2×#54214yes—
1724C4C2×#54214yes—
1725C2—24no—
1726C2—82no—
1727C2—82no—
1728C2—84no—
1729C2C22×#54211yescharacteristic
1730C2#6280011yescharacteristic
1731C2#6285711yescharacteristic
1732C2#6291511yescharacteristic
1733C2#6291611yescharacteristic
1734C2#6293111yescharacteristic
1735C2#6295811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35256C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42737C2semidirect
2. #42588C2semidirect
3. #42561C2semidirect
4. #42545C2semidirect
5. #40813C2semidirect
6. #40789C2semidirect
7. #40154C2semidirect
8. #40121C2semidirect
9. #39406C2semidirect
10. #39251C2semidirect
11. #38506C2semidirect
12. #37726C2semidirect
13. #37591C2semidirect
14. #37588C2semidirect
15. #37327C2semidirect
16. #37321C2semidirect
17. #37293C2semidirect
18. #37292C2semidirect
19. #35575C2semidirect
20. #35541C2semidirect
21. #35530C2semidirect
22. #35529C2semidirect
23. #35277C2semidirect
24. #35275C2semidirect
25. #35264C2semidirect
26. #35264C2semidirect
27. #35257C2semidirect
29. #35158C2semidirect
30. #35135C2semidirect
31. #34816C2semidirect
32. C2×#2512C2semidirect
33. #34275C2semidirect
34. #34121C2semidirect
35. C4×#544C2semidirect
39. C2×#542C22semidirect
47. #2868C22semidirect
50. #2859C22semidirect
53. #2857C22semidirect
55. #2851C22semidirect
58. #2838C22semidirect
59. #2837C22semidirect
60. #2830C22semidirect
61. #2829C22semidirect
62. #2796C22semidirect
63. #2796C22semidirect
64. #2795C22semidirect
65. #2793C22semidirect
66. #2790C22semidirect
67. #2772C22semidirect
68. #2764C22semidirect
69. #2761C22semidirect
70. #2759C22semidirect
71. #2757C22semidirect
72. #2746C22semidirect
73. #2737C22semidirect
74. #2737C22semidirect
75. #2731C22semidirect
76. #2729C22semidirect
77. #2723C22semidirect
78. #2718C22semidirect
79. #2716C22semidirect
80. #2715C22semidirect
81. #2715C22semidirect
82. #2710C22semidirect
83. #2710C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2702C22semidirect
87. #2701C22semidirect
88. #2698C22semidirect
89. #2692C22semidirect
90. #2691C22semidirect
91. #2686C22semidirect
92. #2674C22semidirect
93. #2672C22semidirect
94. #2665C22semidirect
95. #2662C22semidirect
96. #2660C22semidirect
97. #2660C22semidirect
98. #2654C22semidirect
99. #2653C22semidirect
100. #2651C22semidirect
101. #2649C22semidirect
106. #2640C22semidirect
108. #2638C22semidirect
109. #2637C22semidirect
110. #2632C22semidirect
111. #2630C22semidirect
112. #2629C22semidirect
113. #2628C22semidirect
115. #2620C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2551C22semidirect
126. #2530C22semidirect
127. #2529C22semidirect
128. #2521C22semidirect
129. #2515C22semidirect
130. #2514C22semidirect
131. #2514C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
142. #2512C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2511C22semidirect
146. #2511C22semidirect
149. #2502C22semidirect
150. #2501C22semidirect
151. #2500C22semidirect
152. #2499C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
172. #2479C22semidirect
177. #2470C22semidirect
178. #2468C22semidirect
179. #2461C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
192. #2451C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
215. #2423C22semidirect
216. #2423C22semidirect
219. #2422C22semidirect
220. #2422C22semidirect
221. #2422C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
237. #2357C22semidirect
238. #2357C22semidirect
239. #2356C22semidirect
240. #2356C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
249. #2335C22semidirect
250. #2334C22semidirect
251. #2331C22semidirect
252. #2331C22semidirect
253. #2330C22semidirect
254. #2330C22semidirect
258. #2326C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#126C22semidirect
273. C4×#126C22semidirect
276. #2298C22semidirect
277. #2298C22semidirect
292. #2283C22semidirect
296. C4×#117C22semidirect
1645. C2×C4#542semidirect

Maximal subgroups

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

subgroupindex
#427372
#425882
#425612
#425452
#408132
#407892
#401542
#401212
#394062
#392512
#385062
#377262
#375912
#375882
#373272
#373212
#372932
#372922
#355752
#355412
#355302
#355292
#352772
#352752
#352642
#352572
#352562
#351582
#351352
#348162
C2×#25122
#342752
#341212
C4×#5442