Finite Group Databasebeta

← #7681171

Subgroups — #7681171

Order 512.

4995 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59853C214yesmaximal, complemented
2#59849C214yesmaximal, complemented
3#59402C212yesmaximal, complemented
4#59400C212yesmaximal, complemented
5#59395C212yesmaximal, complemented
6#59393C212yesmaximal, complemented
7#45348C212yesmaximal, complemented
8#45309C212yesmaximal, complemented
9#45235C212yesmaximal, complemented
10#45089C212yesmaximal, complemented
11#44495C214yesmaximal, complemented
12#44045C214yesmaximal, complemented
13#39285C212yesmaximal, complemented
14#39283C212yesmaximal, complemented
15#39283C212yesmaximal, complemented
16#39281C212yesmaximal, complemented
17#39149C212yesmaximal, complemented
18#39143C212yesmaximal, complemented
19#36513C212yesmaximal, complemented
20#36481C212yesmaximal, complemented
21#35672C211yesmaximal, characteristic, complemented
22#35667C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic
24#35543C211yesmaximal, characteristic, complemented
25#35313C211yesmaximal, characteristic, complemented
26#35306C211yesmaximal, characteristic
27#35267C211yesmaximal, characteristic, complemented
28#34742C211yesmaximal, characteristic
29C2×#2429C211yesmaximal, characteristic, complemented
30#34268C211yesmaximal, characteristic, complemented
31#34249C211yesmaximal, characteristic, complemented
32#34209C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×#519C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2863C2212yescomplemented
49#2863C2212yescomplemented
50#2863C2212yescomplemented
51#2860C2212yescomplemented
52#2857C2212yes—
53#2850C2212yes—
54#2802C2214yescomplemented
55#2802C2214yescomplemented
56#2801C2214yes—
57#2800C2214yes—
58#2795C2214yes—
59#2793C2214yescomplemented
60#2790C2214yescomplemented
61#2783C2214yescomplemented
62#2780C2214yes—
63#2779C2214yes—
64#2777C2214yes—
65#2777C2214yes—
66#2776C2214yescomplemented
67#2776C2214yescomplemented
68#2772C2214yes—
69#2772C2214yes—
70#2772C2214yescomplemented
71#2766C2214yescomplemented
72#2766C2214yescomplemented
73#2765C2214yescomplemented
74#2739C2214yes—
75#2739C2214yes—
76#2725C2214yescomplemented
77#2718C2214yes—
78#2645C2212yescomplemented
79#2645C2212yescomplemented
80#2645C2212yescomplemented
81#2644C2212yescomplemented
82#2621C2212yes—
83#2620C2212yes—
84#2608C2214yescomplemented
85#2606C2214yescomplemented
86#2606C2214yescomplemented
87#2601C2214yes—
88#2596C2214yes—
89#2596C2214yes—
90#2595C2214yes—
91#2594C2214yes—
92#2594C2214yes—
93#2594C2214yescomplemented
94#2593C2214yes—
95#2590C2214yescomplemented
96#2590C2214yescomplemented
97#2587C2214yescomplemented
98#2587C2214yescomplemented
99#2585C2214yescomplemented
100#2585C2214yescomplemented
101#2576C2214yes—
102#2573C2214yescomplemented
103#2571C2212yescomplemented
104#2570C2214yescomplemented
105#2570C2212yescomplemented
106#2570C2212yescomplemented
107#2558C2214yes—
108#2552C2212yescomplemented
109#2546C2212yescomplemented
110#2546C2212yescomplemented
111#2545C2212yescomplemented
112#2545C2212yescomplemented
113#2538C2212yes—
114#2538C2212yes—
115#2536C2212yes—
116#2536C2212yes—
117#2529C2214yescomplemented
118#2525C2214yescomplemented
119#2525C2214yescomplemented
120#2522C2214yes—
121#2522C2214yes—
122#2518C2214yes—
123#2518C2214yes—
124#2516C2214yes—
125#2515C2214yescomplemented
126#2514C2212yescomplemented
127#2514C2212yescomplemented
128#2511C2212yescomplemented
129#2511C2212yescomplemented
130#2510C2214yes—
131#2509C2212yescomplemented
132#2509C2214yescomplemented
133#2508C2212yescomplemented
134#2507C2212yescomplemented
135#2507C2214yescomplemented
136#2506C2212yescomplemented
137#2505C2214yes—
138#2497C2214yes—
139#2497C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2214yes—
143#2494C2212yescomplemented
144#2493C2214yes—
145#2493C2214yes—
146#2484C2214yes—
147#2482C2214yes—
148#2481C2214yes—
149#2473C2214yes—
150#2470C2214yes—
151#2441C2214yes—
152#2429C2212yes—
153#2429C2212yes—
154#2429C2212yes—
155#2429C2212yes—
156#2429C2212yes—
157#2429C2212yes—
158#2429C2212yes—
159#2429C2212yes—
160#2429C2212yes—
161#2429C2212yes—
162#2429C2212yescomplemented
163#2429C2212yescomplemented
164#2429C2212yescomplemented
165#2429C2212yescomplemented
166#2426C2212yes—
167#2426C2212yes—
168#2423C2212yes—
169#2423C2212yes—
170#2423C2212yes—
171#2423C2212yes—
172#2423C2211yescharacteristic
173#2423C2211yescharacteristic
174#2422C2211yescharacteristic
175#2422C2211yescharacteristic
176#2421C2212yes—
177#2421C2212yes—
178#2421C2212yes—
179#2421C2212yes—
180#2421C2211yescharacteristic
181#2421C2211yescharacteristic
182#2420C2211yescharacteristic
183#2420C2211yescharacteristic
184#2419C2212yes—
185#2419C2212yes—
186#2418C2212yes—
187#2418C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2413C2214yes—
193#2413C2214yes—
194#2413C2214yes—
195#2413C2214yes—
196#2412C2214yes—
197#2411C2214yes—
198#2395C2212yes—
199#2395C2212yes—
200C2×#398C2212yes—
201C2×#396C2212yes—
202#2374C2214yes—
203#2373C2214yescomplemented
204#2370C2214yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2365C2212yescomplemented
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2365C2212yescomplemented
211#2365C2212yescomplemented
212#2365C2212yescomplemented
213#2362C2212yes—
214#2362C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2359C2214yes—
218#2359C2214yes—
219#2351C2212yescomplemented
220#2351C2212yescomplemented
221#2351C2212yescomplemented
222#2351C2212yescomplemented
223Q8×C4⋊C4C2212yescomplemented
224Q8×C4⋊C4C2212yescomplemented
225Q8×C4⋊C4C2212yescomplemented
226Q8×C4⋊C4C2212yescomplemented
227#2347C2214yes—
228#2347C2211yescharacteristic
229#2347C2211yescharacteristic
230#2346C2211yescharacteristic
231#2346C2211yescharacteristic
232#2345C2211yescharacteristic
233#2345C2211yescharacteristic
234#2344C2211yescharacteristic
235#2344C2214yes—
236#2344C2211yescharacteristic
237#2344C2214yes—
238#2344C2214yes—
239#2343C2212yes—
240#2343C2212yes—
241#2342C2212yes—
242#2342C2214yes—
243#2342C2212yes—
244#2327C2212yescomplemented
245#2327C2212yescomplemented
246#2327C2212yescomplemented
247#2326C2212yescomplemented
248#2323C2212yes—
249#2323C2212yes—
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2323C2212yescomplemented
254#2322C2214yes—
255#2317C2214yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2211yescharacteristic
265#2310C2211yescharacteristic
266C4×C4⋊Q8C2212yescomplemented
267C4×C4⋊Q8C2212yescomplemented
268C4×C4⋊Q8C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279#2298C2212yes—
280#2298C2212yes—
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2214yes—
286C2×#391C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2212yes—
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#536—28no—
304#536—28no—
305C2×C4⋊Q8—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2314yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316#525—44no—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×C22⋊Q8—28no—
323C2×C22⋊Q8—44no—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#120C2312yes—
341#519—28no—
342#519—44no—
343#519—44no—
344C4×#41—44no—
345C2×C4×Q8—44no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×#117—28no—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2314yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#379C2312yes—
747#379C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8#4118yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868C4⋊Q8—28no—
869#126—48no—
870#125—48no—
871#124—28no—
872#124—28no—
873#123—216no—
874#123—216no—
875#123—28no—
876#123—44no—
877#123—44no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892#121—42no—
893#121—42no—
894#120—44no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—28no—
928#117—216no—
929#117—28no—
930#117—28no—
931#117—44no—
932#117—44no—
933#117—48no—
934#117—48no—
935#117#4118yes—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—24no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—28no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201#41—416no—
1202C2×Q8—232no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—416no—
1217C2×Q8C2×#4118yes—
1218C2×Q8C2×#4118yes—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—416no—
1285C22×C4C2×#4118yes—
1286C22×C4C2×#4114yes—
1287C22×C4C2×#4114yes—
1288C22×C4H(5,𝔽2)14yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4C2×#4114yes—
1391C4⋊C4C2×#4114yes—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4C2×#4118yes—
1438C22⋊C42−1+414yes—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—28no—
1447C42—28no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42C2×#4118yes—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—21no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—82no—
1505C23—82no—
1506C23—82no—
1507C23C22×#4112yes—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23C2611yescharacteristic
1512Q8—216no—
1513Q8—216no—
1514Q8—48no—
1515Q8—48no—
1516Q8—44no—
1517D4—48no—
1518D4—44no—
1519D4—84no—
1520D4—84no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—216no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—48no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—82no—
1619C2×C4—84no—
1620C2×C4#553116yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4114yes—
1623C2×C4C22×#4118yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4#58512yes—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—88no—
1661C22C2×#55314yes—
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×2−1+411yescharacteristic
1666C22C2×#58511yescharacteristic
1667C222−1+611yescharacteristic
1668C222−1+611yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—24no—
1672C4—24no—
1673C4—22no—
1674C4—28no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—41no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—44no—
1698C4C2×#55314yes—
1699C4C2×#55314yes—
1700C2—24no—
1701C2—42no—
1702C2—82no—
1703C2—81no—
1704C2C22×#55311yescharacteristic
1705C2#6280511yescharacteristic
1706C2#6286111yescharacteristic
1707C2#6292511yescharacteristic
1708C2#6294211yescharacteristic
1709C2#6299811yescharacteristic
1710C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59853C2semidirect
2. #59849C2semidirect
3. #59402C2semidirect
4. #59400C2semidirect
5. #59395C2semidirect
6. #59393C2semidirect
7. #45348C2semidirect
8. #45309C2semidirect
9. #45235C2semidirect
10. #45089C2semidirect
11. #44495C2semidirect
12. #44045C2semidirect
13. #39285C2semidirect
14. #39283C2semidirect
15. #39283C2semidirect
16. #39281C2semidirect
17. #39149C2semidirect
18. #39143C2semidirect
19. #36513C2semidirect
20. #36481C2semidirect
21. #35672C2semidirect
22. #35667C2semidirect
24. #35543C2semidirect
25. #35313C2semidirect
27. #35267C2semidirect
29. C2×#2429C2semidirect
30. #34268C2semidirect
31. #34249C2semidirect
32. #34209C2semidirect
33. #34203C2semidirect
34. #34109C2semidirect
35. C4×#536C2semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2863C22semidirect
51. #2860C22semidirect
54. #2802C22semidirect
55. #2802C22semidirect
59. #2793C22semidirect
60. #2790C22semidirect
61. #2783C22semidirect
66. #2776C22semidirect
67. #2776C22semidirect
70. #2772C22semidirect
71. #2766C22semidirect
72. #2766C22semidirect
73. #2765C22semidirect
76. #2725C22semidirect
78. #2645C22semidirect
79. #2645C22semidirect
80. #2645C22semidirect
81. #2644C22semidirect
84. #2608C22semidirect
85. #2606C22semidirect
86. #2606C22semidirect
93. #2594C22semidirect
95. #2590C22semidirect
96. #2590C22semidirect
97. #2587C22semidirect
98. #2587C22semidirect
99. #2585C22semidirect
100. #2585C22semidirect
102. #2573C22semidirect
103. #2571C22semidirect
104. #2570C22semidirect
105. #2570C22semidirect
106. #2570C22semidirect
108. #2552C22semidirect
109. #2546C22semidirect
110. #2546C22semidirect
111. #2545C22semidirect
112. #2545C22semidirect
117. #2529C22semidirect
118. #2525C22semidirect
119. #2525C22semidirect
125. #2515C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
128. #2511C22semidirect
129. #2511C22semidirect
131. #2509C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
134. #2507C22semidirect
135. #2507C22semidirect
136. #2506C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
141. #2495C22semidirect
143. #2494C22semidirect
162. #2429C22semidirect
163. #2429C22semidirect
164. #2429C22semidirect
165. #2429C22semidirect
203. #2373C22semidirect
204. #2370C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
210. #2365C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
219. #2351C22semidirect
220. #2351C22semidirect
221. #2351C22semidirect
222. #2351C22semidirect
223. Q8×C4⋊C4C22semidirect
224. Q8×C4⋊C4C22semidirect
225. Q8×C4⋊C4C22semidirect
226. Q8×C4⋊C4C22semidirect
244. #2327C22semidirect
245. #2327C22semidirect
246. #2327C22semidirect
247. #2326C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598532
#598492
#594022
#594002
#593952
#593932
#453482
#453092
#452352
#450892
#444952
#440452
#392852
#392832
#392812
#391492
#391432
#365132
#364812
#356722
#356672
#356612
#355432
#353132
#353062
#352672
#347422
C2×#24292
#342682
#342492
#342092
#342032
#341092
C4×#5362