Finite Group Databasebeta

← #7681099

Subgroups — #7681099

Order 512.

5139 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59949C214yesmaximal, complemented
2#59948C214yesmaximal, complemented
3#59237C212yesmaximal, complemented
4#59234C212yesmaximal, complemented
5#59231C212yesmaximal, complemented
6#59230C212yesmaximal, complemented
7#45133C212yesmaximal, complemented
8#45122C212yesmaximal, complemented
9#45078C212yesmaximal, complemented
10#45078C212yesmaximal, complemented
11#43645C214yesmaximal, complemented
12#43621C214yesmaximal, complemented
13#38940C212yesmaximal, complemented
14#38937C212yesmaximal, complemented
15#38291C212yesmaximal, complemented
16#38287C212yesmaximal, complemented
17#38285C212yesmaximal, complemented
18#38284C212yesmaximal, complemented
19#36373C212yesmaximal, complemented
20#36288C212yesmaximal, complemented
21#35661C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic, complemented
23#35576C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35312C211yesmaximal, characteristic, complemented
26#35306C211yesmaximal, characteristic, complemented
27#35289C211yesmaximal, characteristic, complemented
28C2×#2492C211yesmaximal, characteristic, complemented
29#34743C211yesmaximal, characteristic
30#34268C211yesmaximal, characteristic, complemented
31#34254C211yesmaximal, characteristic, complemented
32#34252C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2862C2212yescomplemented
49#2862C2212yescomplemented
50#2861C2212yescomplemented
51#2858C2212yescomplemented
52#2857C2212yes—
53#2850C2212yes—
54#2809C2214yescomplemented
55#2808C2214yes—
56#2803C2214yes—
57#2785C2214yes—
58#2784C2214yes—
59#2784C2214yescomplemented
60#2783C2214yes—
61#2783C2214yescomplemented
62#2783C2214yescomplemented
63#2781C2214yes—
64#2775C2214yes—
65#2775C2214yescomplemented
66#2775C2214yescomplemented
67#2775C2214yescomplemented
68#2775C2214yescomplemented
69#2769C2214yescomplemented
70#2744C2214yescomplemented
71#2744C2214yescomplemented
72#2737C2214yes—
73#2737C2214yes—
74#2737C2214yes—
75#2731C2214yes—
76#2731C2214yescomplemented
77#2686C2214yes—
78#2642C2212yescomplemented
79#2640C2212yescomplemented
80#2640C2212yescomplemented
81#2640C2212yescomplemented
82#2621C2212yes—
83#2620C2212yes—
84#2612C2214yescomplemented
85#2612C2214yescomplemented
86#2612C2214yescomplemented
87#2610C2214yes—
88#2610C2214yes—
89#2593C2214yescomplemented
90#2583C2214yes—
91#2574C2214yes—
92#2574C2214yes—
93#2574C2214yescomplemented
94#2574C2214yescomplemented
95#2572C2214yes—
96#2563C2212yes—
97#2563C2214yes—
98#2563C2212yescomplemented
99#2563C2212yescomplemented
100#2562C2212yes—
101#2562C2212yes—
102#2551C2212yescomplemented
103#2551C2212yescomplemented
104#2551C2212yescomplemented
105#2551C2212yescomplemented
106#2550C2212yescomplemented
107#2550C2212yescomplemented
108#2550C2212yescomplemented
109#2550C2212yescomplemented
110#2547C2212yes—
111#2547C2212yescomplemented
112#2547C2212yescomplemented
113#2547C2212yescomplemented
114#2546C2212yescomplemented
115#2545C2212yescomplemented
116#2544C2212yescomplemented
117#2538C2212yes—
118#2538C2212yes—
119#2536C2212yes—
120#2536C2212yes—
121#2532C2214yes—
122#2532C2214yescomplemented
123#2532C2214yescomplemented
124#2531C2214yes—
125#2529C2214yes—
126#2526C2214yes—
127#2526C2214yescomplemented
128#2526C2214yescomplemented
129#2518C2214yes—
130#2513C2214yes—
131#2508C2214yescomplemented
132#2508C2214yescomplemented
133#2504C2214yes—
134#2495C2214yescomplemented
135#2495C2214yescomplemented
136#2492C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2492C2212yes—
140#2492C2212yes—
141#2492C2212yes—
142#2492C2212yes—
143#2492C2212yes—
144#2492C2212yes—
145#2492C2212yescomplemented
146#2492C2212yescomplemented
147#2491C2214yes—
148#2491C2212yes—
149#2490C2212yes—
150#2489C2212yes—
151#2489C2212yescomplemented
152#2489C2212yescomplemented
153#2488C2214yes—
154#2488C2214yes—
155#2488C2214yes—
156#2485C2214yes—
157#2476C2214yes—
158#2474C2214yes—
159#2474C2214yescomplemented
160#2474C2214yescomplemented
161#2472C2214yes—
162#2459C2214yes—
163#2439C2214yes—
164#2439C2214yescomplemented
165#2439C2214yescomplemented
166#2436C2214yes—
167#2434C2214yes—
168#2429C2212yes—
169#2429C2212yes—
170#2429C2211yescharacteristic
171#2429C2211yescharacteristic
172#2428C2211yescharacteristic
173#2428C2211yescharacteristic
174#2427C2211yescharacteristic
175#2427C2211yescharacteristic
176#2426C2212yes—
177#2426C2211yescharacteristic
178#2426C2212yes—
179#2426C2211yescharacteristic
180#2425C2214yes—
181#2425C2214yes—
182#2425C2212yes—
183#2425C2212yes—
184#2424C2212yes—
185#2424C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yescomplemented
193#2415C2212yescomplemented
194#2413C2214yes—
195#2413C2214yes—
196#2412C2214yes—
197#2411C2214yes—
198C2×#400C2212yes—
199#2392C2212yes—
200#2392C2212yes—
201C2×#393C2212yes—
202#2372C2214yescomplemented
203#2369C2214yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2365C2212yescomplemented
207#2365C2212yescomplemented
208#2363C2214yes—
209#2359C2214yes—
210#2359C2214yes—
211#2359C2214yes—
212#2358C2214yes—
213#2357C2212yescomplemented
214#2356C2212yescomplemented
215#2356C2212yescomplemented
216#2356C2212yescomplemented
217#2355C2212yescomplemented
218#2355C2212yescomplemented
219#2355C2212yescomplemented
220#2354C2212yes—
221#2354C2212yescomplemented
222#2352C2212yes—
223#2352C2212yes—
224D4×C4⋊C4C2212yes—
225#2347C2211yescharacteristic
226#2347C2211yescharacteristic
227#2347C2212yescomplemented
228#2346C2211yescharacteristic
229#2346C2214yes—
230#2346C2211yescharacteristic
231#2346C2212yescomplemented
232#2345C2211yescharacteristic
233#2345C2211yescharacteristic
234#2345C2212yescomplemented
235#2344C2211yescharacteristic
236#2344C2211yescharacteristic
237#2344C2212yescomplemented
238#2343C2212yes—
239#2343C2214yes—
240#2343C2214yes—
241#2343C2212yes—
242#2342C2212yes—
243#2342C2212yes—
244#2324C2212yes—
245#2323C2212yes—
246#2323C2212yescomplemented
247#2323C2212yescomplemented
248#2320C2212yescomplemented
249#2320C2212yescomplemented
250#2320C2212yescomplemented
251#2319C2212yescomplemented
252#2318C2214yes—
253#2318C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2314C2212yescomplemented
258#2314C2212yescomplemented
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2310C2211yescharacteristic
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yescomplemented
267C4×C22⋊Q8C2212yescomplemented
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271#2298C2212yes—
272#2298C2212yes—
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yescomplemented
278#2295C2212yescomplemented
279#2295C2212yescomplemented
280C2×#391C2211yescharacteristic
281C2×#391C2212yes—
282C2×#391C2211yescharacteristic
283#2293C2212yescomplemented
284#2290C2214yes—
285#2290C2214yes—
286C2×#388C2212yes—
287#2285C2212yescomplemented
288#2283C2212yes—
289#2283C2212yescomplemented
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2312yes—
303C24×C4C2311yescharacteristic
304#544—44no—
305#536—28no—
306#536—44no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×#127C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—28no—
331#525—44no—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×C22⋊Q8—44no—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#120C2312yes—
359C2×#120C2312yes—
360#520—28no—
361#519—28no—
362C4×#41—28no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×#117—28no—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#392C2312yes—
498#392C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
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#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2312yes—
693#383C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#381C2314yes—
709#381C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#379C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—82no—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×Q8C2414yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C4⋊Q8—28no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—42no—
884C4⋊Q8—44no—
885C4⋊Q8—48no—
886C4⋊Q8—84no—
887#127—42no—
888#125—44no—
889#125—44no—
890#124—28no—
891#124—48no—
892#124—42no—
893#124—42no—
894#124—44no—
895#124—84no—
896#124—84no—
897#123—28no—
898#123—216no—
899#123—44no—
900#123—48no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—24no—
915#121—24no—
916#121—28no—
917#121—44no—
918#121—42no—
919#121—42no—
920#121—44no—
921#121—44no—
922#120—28no—
923#120—44no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—28no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×Q8—28no—
930C4×Q8—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—216no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—84no—
944#117—24no—
945#117—24no—
946#117—24no—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—216no—
953#117—28no—
954#117—28no—
955#117—28no—
956#117—44no—
957#117—84no—
958#117—84no—
959#117#4118yes—
960#117#4118yes—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—82no—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42—28no—
1094C2×C42—28no—
1095C2×C42—82no—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24C2511yescharacteristic
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—416no—
1216#41—416no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—28no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—416no—
1239C2×Q8—816no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—416no—
1331C22×C4C2×#4114yes—
1332C22×C4C2×#4114yes—
1333C22×C4H(5,𝔽2)14yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4C2×#4114yes—
1421C4⋊C4C2×#4114yes—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4114yes—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4C2×#4118yes—
1479C22⋊C4C2×#4118yes—
1480C22⋊C42−1+414yes—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—28no—
1491C42—24no—
1492C42—28no—
1493C42—28no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—44no—
1507C42—42no—
1508C42—42no—
1509C42—42no—
1510C42—44no—
1511C42—44no—
1512C42—42no—
1513C42—44no—
1514C42C2×#4118yes—
1515C42C2×#4118yes—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—22no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—22no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—82no—
1552C23—82no—
1553C23—82no—
1554C23C22×#4112yes—
1555C23C22×#4112yes—
1556C23C2×H(5,𝔽2)12yes—
1557C23C2×2−1+412yes—
1558C23C2611yescharacteristic
1559Q8—48no—
1560Q8—48no—
1561Q8—44no—
1562Q8—44no—
1563Q8—88no—
1564Q8—88no—
1565Q8—164no—
1566D4—48no—
1567D4—48no—
1568D4—48no—
1569D4—44no—
1570D4—44no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—82no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4#555116yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4114yes—
1676C2×C4C22×#4114yes—
1677C2×C4C22×#4114yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×2−1+412yes—
1685C2×C4C2×2−1+412yes—
1686C2×C4#58512yes—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—88no—
1722C22C2×#55514yes—
1723C22C23×#4111yescharacteristic
1724C22C23×#4111yescharacteristic
1725C22C22×H(5,𝔽2)11yescharacteristic
1726C22C22×2−1+411yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22H(7,𝔽2)11yescharacteristic
1729C222−1+611yescharacteristic
1730C4—22no—
1731C4—24no—
1732C4—24no—
1733C4—24no—
1734C4—24no—
1735C4—22no—
1736C4—22no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4—44no—
1746C4—41no—
1747C4—44no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—44no—
1758C4C2×#55514yes—
1759C4C2×#55514yes—
1760C2—24no—
1761C2—42no—
1762C2—82no—
1763C2—82no—
1764C2—81no—
1765C2C22×#55511yescharacteristic
1766C2#6280511yescharacteristic
1767C2#6285711yescharacteristic
1768C2#6292411yescharacteristic
1769C2#6294211yescharacteristic
1770C2#6300011yescharacteristic
1771C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59949C2semidirect
2. #59948C2semidirect
3. #59237C2semidirect
4. #59234C2semidirect
5. #59231C2semidirect
6. #59230C2semidirect
7. #45133C2semidirect
8. #45122C2semidirect
9. #45078C2semidirect
10. #45078C2semidirect
11. #43645C2semidirect
12. #43621C2semidirect
13. #38940C2semidirect
14. #38937C2semidirect
15. #38291C2semidirect
16. #38287C2semidirect
17. #38285C2semidirect
18. #38284C2semidirect
19. #36373C2semidirect
20. #36288C2semidirect
21. #35661C2semidirect
22. #35621C2semidirect
23. #35576C2semidirect
24. #35542C2semidirect
25. #35312C2semidirect
26. #35306C2semidirect
27. #35289C2semidirect
28. C2×#2492C2semidirect
30. #34268C2semidirect
31. #34254C2semidirect
32. #34252C2semidirect
33. #34202C2semidirect
34. #34109C2semidirect
35. #34060C2semidirect
48. #2862C22semidirect
49. #2862C22semidirect
50. #2861C22semidirect
51. #2858C22semidirect
54. #2809C22semidirect
59. #2784C22semidirect
61. #2783C22semidirect
62. #2783C22semidirect
65. #2775C22semidirect
66. #2775C22semidirect
67. #2775C22semidirect
68. #2775C22semidirect
69. #2769C22semidirect
70. #2744C22semidirect
71. #2744C22semidirect
76. #2731C22semidirect
78. #2642C22semidirect
79. #2640C22semidirect
80. #2640C22semidirect
81. #2640C22semidirect
84. #2612C22semidirect
85. #2612C22semidirect
86. #2612C22semidirect
89. #2593C22semidirect
93. #2574C22semidirect
94. #2574C22semidirect
98. #2563C22semidirect
99. #2563C22semidirect
102. #2551C22semidirect
103. #2551C22semidirect
104. #2551C22semidirect
105. #2551C22semidirect
106. #2550C22semidirect
107. #2550C22semidirect
108. #2550C22semidirect
109. #2550C22semidirect
111. #2547C22semidirect
112. #2547C22semidirect
113. #2547C22semidirect
114. #2546C22semidirect
115. #2545C22semidirect
116. #2544C22semidirect
122. #2532C22semidirect
123. #2532C22semidirect
127. #2526C22semidirect
128. #2526C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
145. #2492C22semidirect
146. #2492C22semidirect
151. #2489C22semidirect
152. #2489C22semidirect
159. #2474C22semidirect
160. #2474C22semidirect
164. #2439C22semidirect
165. #2439C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
192. #2415C22semidirect
193. #2415C22semidirect
202. #2372C22semidirect
203. #2369C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
213. #2357C22semidirect
214. #2356C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
221. #2354C22semidirect
227. #2347C22semidirect
231. #2346C22semidirect
234. #2345C22semidirect
237. #2344C22semidirect
246. #2323C22semidirect
247. #2323C22semidirect
248. #2320C22semidirect
249. #2320C22semidirect
250. #2320C22semidirect
251. #2319C22semidirect
257. #2314C22semidirect
258. #2314C22semidirect
266. C4×C22⋊Q8C22semidirect
267. C4×C22⋊Q8C22semidirect
277. #2295C22semidirect
278. #2295C22semidirect
279. #2295C22semidirect
283. #2293C22semidirect
287. #2285C22semidirect
289. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#599492
#599482
#592372
#592342
#592312
#592302
#451332
#451222
#450782
#436452
#436212
#389402
#389372
#382912
#382872
#382852
#382842
#363732
#362882
#356612
#356212
#355762
#355422
#353122
#353062
#352892
C2×#24922
#347432
#342682
#342542
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