Finite Group Databasebeta

← #7691775

Subgroups — #7691775

Order 512.

5322 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59581C212yesmaximal, complemented
3#59544C212yesmaximal, complemented
4#59541C214yesmaximal, complemented
5#59510C212yesmaximal, complemented
6#59245C211yesmaximal, characteristic, complemented
7#59211C211yesmaximal, characteristic, complemented
8#59017C212yesmaximal, complemented
9#45399C212yesmaximal, complemented
10#45259C212yesmaximal, complemented
11#44683C214yesmaximal, complemented
12#43471C214yesmaximal, complemented
13#40164C212yesmaximal, complemented
14#40049C212yesmaximal, complemented
15#38964C211yesmaximal, characteristic, complemented
16#38909C211yesmaximal, characteristic, complemented
17#38555C214yesmaximal, complemented
18#37858C212yesmaximal, complemented
19#36462C212yesmaximal, complemented
20#36460C211yesmaximal, characteristic, complemented
21#36312C211yesmaximal, characteristic, complemented
22#36300C212yesmaximal, complemented
23#36273C211yesmaximal, characteristic, complemented
24#36235C212yesmaximal, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#36011C212yesmaximal, complemented
28#35800C212yesmaximal, complemented
29#34918C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34201C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#525C2212yes—
41C2×#520C2212yescomplemented
42C22×C4×D4C2211yescharacteristic
43C22×#117C2212yes—
44#2860C2212yes—
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2858C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic, complemented
50#2850C2214yescomplemented
51#2847C2212yes—
52#2803C2214yescomplemented
53#2795C2214yescomplemented
54#2788C2214yes—
55#2779C2214yescomplemented
56#2763C2214yescomplemented
57#2753C2214yes—
58#2753C2214yescomplemented
59#2749C2214yes—
60#2747C2214yescomplemented
61#2743C2214yes—
62#2741C2214yescomplemented
63#2737C2214yes—
64#2730C2214yes—
65#2720C2214yescomplemented
66#2714C2214yes—
67#2691C2214yescomplemented
68#2685C2214yes—
69#2685C2214yes—
70#2684C2214yes—
71#2671C2214yescomplemented
72#2670C2214yes—
73#2648C2214yes—
74#2635C2214yes—
75#2628C2212yescomplemented
76#2624C2212yescomplemented
77#2610C2214yes—
78#2610C2214yescomplemented
79#2609C2214yes—
80#2597C2214yescomplemented
81#2597C2214yescomplemented
82#2595C2214yescomplemented
83#2592C2212yescomplemented
84#2591C2214yescomplemented
85#2588C2214yescomplemented
86#2582C2211yescharacteristic, complemented
87#2580C2212yes—
88#2578C2214yescomplemented
89#2575C2214yescomplemented
90#2574C2214yescomplemented
91#2572C2214yescomplemented
92#2571C2211yescharacteristic, complemented
93#2570C2212yescomplemented
94#2568C2212yescomplemented
95#2567C2212yescomplemented
96#2560C2214yescomplemented
97#2559C2214yes—
98#2559C2214yescomplemented
99#2555C2214yescomplemented
100#2554C2214yescomplemented
101#2551C2211yescharacteristic, complemented
102#2548C2212yes—
103#2548C2211yescharacteristic, complemented
104#2544C2212yes—
105#2544C2212yes—
106#2541C2211yescharacteristic
107#2538C2211yescharacteristic
108#2536C2212yescomplemented
109#2535C2212yes—
110#2532C2214yescomplemented
111#2529C2214yescomplemented
112#2526C2214yescomplemented
113#2525C2214yescomplemented
114#2521C2214yescomplemented
115#2521C2214yescomplemented
116#2519C2214yescomplemented
117#2518C2214yescomplemented
118#2516C2214yescomplemented
119#2515C2214yescomplemented
120#2513C2212yes—
121#2513C2212yescomplemented
122#2513C2212yescomplemented
123#2512C2212yescomplemented
124#2512C2214yescomplemented
125#2511C2212yescomplemented
126#2509C2212yescomplemented
127#2508C2212yescomplemented
128#2508C2212yescomplemented
129#2500C2212yes—
130#2500C2212yes—
131#2500C2212yescomplemented
132#2497C2212yes—
133#2496C2212yescomplemented
134#2495C2212yescomplemented
135#2492C2212yes—
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2491C2212yescomplemented
139#2490C2212yes—
140#2490C2212yescomplemented
141#2485C2212yescomplemented
142#2484C2214yescomplemented
143#2480C2212yes—
144#2476C2214yescomplemented
145#2474C2214yescomplemented
146#2474C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yes—
149#2468C2214yes—
150#2468C2212yes—
151#2467C2214yescomplemented
152#2459C2214yes—
153#2459C2214yes—
154#2459C2214yes—
155#2459C2214yescomplemented
156#2459C2214yescomplemented
157#2458C2214yescomplemented
158#2457C2212yes—
159#2456C2214yes—
160#2454C2211yescharacteristic
161#2454C2212yescomplemented
162#2452C2212yes—
163#2448C2212yes—
164#2448C2214yescomplemented
165#2447C2211yescharacteristic
166#2445C2212yes—
167#2442C2211yescharacteristic
168#2440C2212yescomplemented
169#2439C2212yes—
170#2439C2212yescomplemented
171#2435C2211yescharacteristic
172#2433C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2427C2211yescharacteristic
176#2427C2212yescomplemented
177#2426C2212yes—
178#2424C2214yes—
179#2424C2214yes—
180#2423C2212yescomplemented
181#2420C2212yes—
182#2420C2211yescharacteristic
183#2420C2212yes—
184#2420C2212yescomplemented
185#2420C2212yescomplemented
186#2418C2212yes—
187#2417C2211yescharacteristic
188#2416C2212yescomplemented
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yescomplemented
193#2408C2211yescharacteristic
194#2407C2212yes—
195#2407C2212yescomplemented
196#2398C2214yescomplemented
197#2395C2212yes—
198#2395C2214yescomplemented
199#2392C2212yes—
200#2373C2212yes—
201#2373C2212yescomplemented
202#2373C2214yescomplemented
203#2369C2212yescomplemented
204#2367C2212yes—
205#2367C2214yescomplemented
206#2366C2212yes—
207#2366C2212yes—
208#2366C2211yescharacteristic, complemented
209#2365C2211yescharacteristic, complemented
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2212yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2362C2212yes—
217#2362C2211yescharacteristic
218#2362C2212yescomplemented
219#2362C2211yescharacteristic, complemented
220#2362C2212yescomplemented
221#2362C2212yescomplemented
222#2361C2212yes—
223#2361C2212yescomplemented
224#2361C2214yescomplemented
225#2357C2212yescomplemented
226#2357C2212yescomplemented
227#2357C2212yescomplemented
228#2356C2212yescomplemented
229#2355C2211yescharacteristic, complemented
230#2355C2211yescharacteristic, complemented
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2214yes—
236#2354C2212yescomplemented
237#2354C2214yescomplemented
238#2352C2212yes—
239#2352C2212yes—
240#2352C2214yes—
241#2352C2212yescomplemented
242#2352C2214yescomplemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244Q8×C4⋊C4C2211yescharacteristic, complemented
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2212yescomplemented
248#2347C2211yescharacteristic
249#2347C2212yescomplemented
250#2347C2211yescharacteristic, complemented
251#2346C2212yescomplemented
252#2344C2212yes—
253#2342C2214yes—
254#2341C2212yescomplemented
255D4×C22⋊C4C2212yes—
256#2335C2214yescomplemented
257#2324C2212yescomplemented
258#2324C2214yescomplemented
259#2321C2214yes—
260#2321C2214yes—
261#2317C2212yescomplemented
262#2314C2212yescomplemented
263#2311C2212yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2212yes—
266C4×#127C2211yescharacteristic, complemented
267C4×#125C2212yescomplemented
268C4×#126C2212yes—
269C4×#126C2212yescomplemented
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yescomplemented
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×#123C2214yescomplemented
278C4×#123C2214yescomplemented
279C4×#121C2211yescharacteristic
280C4×#120C2212yes—
281#2295C2212yescomplemented
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2212yescomplemented
285#2293C2212yescomplemented
286#2290C2214yes—
287#2290C2214yescomplemented
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic, complemented
290#2280C2212yes—
291#2280C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#555—48no—
304#550—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327#525—216no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#120C2314yes—
351C2×#120C2312yes—
352C2×#120C2314yes—
353#520—48no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4—28no—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×#117—48no—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
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#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
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#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2314yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#383C2312yes—
695#383C2312yes—
696#383C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#379C2312yes—
735#379C2312yes—
736#379C2314yes—
737#379C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2312yes—
813#376C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4—42no—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4—28no—
845C23×C4—28no—
846C23×C4—44no—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#127—28no—
867#127—24no—
868#127—44no—
869#126—28no—
870#126—28no—
871#126—28no—
872#126—84no—
873#126—84no—
874#125—24no—
875#125—82no—
876#124—24no—
877#124—28no—
878#124—48no—
879#124—48no—
880#124—42no—
881#124—44no—
882#124—48no—
883#124—84no—
884#123—216no—
885#123—28no—
886C22⋊Q8—28no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—42no—
890C22⋊Q8—84no—
891C22⋊Q8#4118yes—
892#121—24no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—216no—
897#121—48no—
898#121—44no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—84no—
904#121—82no—
905#121—82no—
906#120—216no—
907#120—44no—
908#120—84no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—216no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4#4118yes—
942#117—28no—
943#117—24no—
944#117—28no—
945#117—24no—
946#117—24no—
947#117—28no—
948#117—24no—
949#117—44no—
950#117—48no—
951#117—48no—
952#117—48no—
953#117—48no—
954#117—44no—
955#117—44no—
956#117—44no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—48no—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—48no—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202C24C2514yes—
1203C24C2511yescharacteristic
1204C24C2512yes—
1205#41—432no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8C2×#4114yes—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—44no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—416no—
1263C2×D4C2×#4114yes—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—432no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4C2×#4118yes—
1312C22×C4C2×#4114yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—41no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4118yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4C2×#4118yes—
1468C22⋊C4C2×#4118yes—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—28no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—28no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—44no—
1501C42—42no—
1502C42—44no—
1503C42—42no—
1504C42—41no—
1505C42—42no—
1506C42—42no—
1507C42C2×#4114yes—
1508C23—22no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—24no—
1526C23—22no—
1527C23—21no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—21no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—21no—
1541C23—48no—
1542C23—48no—
1543C23—84no—
1544C23—84no—
1545C23—84no—
1546C23—84no—
1547C23—84no—
1548C23C22×#4114yes—
1549C23C22×#4112yes—
1550C23C2611yescharacteristic
1551Q8—28no—
1552Q8—48no—
1553Q8—44no—
1554Q8—164no—
1555D4—28no—
1556D4—44no—
1557D4—416no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—44no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—84no—
1568D4—164no—
1569D4—164no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—28no—
1585C2×C4—216no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—48no—
1650C2×C4—416no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—82no—
1658C2×C4—82no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—164no—
1663C2×C4C22×#4114yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C2×H(5,𝔽2)14yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C22—24no—
1677C22—22no—
1678C22—24no—
1679C22—22no—
1680C22—22no—
1681C22—24no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—44no—
1692C22—42no—
1693C22—44no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—44no—
1702C22—41no—
1703C22—42no—
1704C22—44no—
1705C22—41no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—41no—
1711C22—816no—
1712C22C23×#4111yescharacteristic
1713C22C23×#4111yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—24no—
1721C4—24no—
1722C4—22no—
1723C4—22no—
1724C4—24no—
1725C4—24no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—44no—
1733C4—42no—
1734C4—44no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—44no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4#348114yes—
1748C4#349314yes—
1749C2—44no—
1750C2—42no—
1751C2—81no—
1752C2—84no—
1753C2—82no—
1754C2C2×#348111yescharacteristic
1755C2C2×#349311yescharacteristic
1756C2#6281611yescharacteristic
1757C2#6292311yescharacteristic
1758C2#6299411yescharacteristic
1759C2#6300611yescharacteristic
1760C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59640C2semidirect
2. #59581C2semidirect
3. #59544C2semidirect
4. #59541C2semidirect
5. #59510C2semidirect
6. #59245C2semidirect
7. #59211C2semidirect
8. #59017C2semidirect
9. #45399C2semidirect
10. #45259C2semidirect
11. #44683C2semidirect
12. #43471C2semidirect
13. #40164C2semidirect
14. #40049C2semidirect
15. #38964C2semidirect
16. #38909C2semidirect
17. #38555C2semidirect
18. #37858C2semidirect
19. #36462C2semidirect
20. #36460C2semidirect
21. #36312C2semidirect
22. #36300C2semidirect
23. #36273C2semidirect
24. #36235C2semidirect
25. #36211C2semidirect
26. #36101C2semidirect
27. #36011C2semidirect
28. #35800C2semidirect
29. #34918C2semidirect
30. #34700C2semidirect
31. #34313C2semidirect
32. #34242C2semidirect
33. #34201C2semidirect
34. C4×#556C2semidirect
35. D4×#117C2semidirect
37. C2×#555C22semidirect
41. C2×#520C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
49. #2856C22semidirect
50. #2850C22semidirect
52. #2803C22semidirect
53. #2795C22semidirect
55. #2779C22semidirect
56. #2763C22semidirect
58. #2753C22semidirect
60. #2747C22semidirect
62. #2741C22semidirect
65. #2720C22semidirect
67. #2691C22semidirect
71. #2671C22semidirect
75. #2628C22semidirect
76. #2624C22semidirect
78. #2610C22semidirect
80. #2597C22semidirect
81. #2597C22semidirect
82. #2595C22semidirect
83. #2592C22semidirect
84. #2591C22semidirect
85. #2588C22semidirect
86. #2582C22semidirect
88. #2578C22semidirect
89. #2575C22semidirect
90. #2574C22semidirect
91. #2572C22semidirect
92. #2571C22semidirect
93. #2570C22semidirect
94. #2568C22semidirect
95. #2567C22semidirect
96. #2560C22semidirect
98. #2559C22semidirect
99. #2555C22semidirect
100. #2554C22semidirect
101. #2551C22semidirect
103. #2548C22semidirect
108. #2536C22semidirect
110. #2532C22semidirect
111. #2529C22semidirect
112. #2526C22semidirect
113. #2525C22semidirect
114. #2521C22semidirect
115. #2521C22semidirect
116. #2519C22semidirect
117. #2518C22semidirect
118. #2516C22semidirect
119. #2515C22semidirect
121. #2513C22semidirect
122. #2513C22semidirect
123. #2512C22semidirect
124. #2512C22semidirect
125. #2511C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2508C22semidirect
131. #2500C22semidirect
133. #2496C22semidirect
134. #2495C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
140. #2490C22semidirect
141. #2485C22semidirect
142. #2484C22semidirect
144. #2476C22semidirect
145. #2474C22semidirect
146. #2474C22semidirect
147. #2474C22semidirect
151. #2467C22semidirect
155. #2459C22semidirect
156. #2459C22semidirect
157. #2458C22semidirect
161. #2454C22semidirect
164. #2448C22semidirect
168. #2440C22semidirect
170. #2439C22semidirect
176. #2427C22semidirect
180. #2423C22semidirect
184. #2420C22semidirect
185. #2420C22semidirect
188. #2416C22semidirect
192. #2414C22semidirect
195. #2407C22semidirect
196. #2398C22semidirect
198. #2395C22semidirect
201. #2373C22semidirect
202. #2373C22semidirect
203. #2369C22semidirect
205. #2367C22semidirect
208. #2366C22semidirect
209. #2365C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
218. #2362C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
221. #2362C22semidirect
223. #2361C22semidirect
224. #2361C22semidirect
225. #2357C22semidirect
226. #2357C22semidirect
227. #2357C22semidirect
228. #2356C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. Q8×C4⋊C4C22semidirect
244. Q8×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
249. #2347C22semidirect
250. #2347C22semidirect
251. #2346C22semidirect
254. #2341C22semidirect
256. #2335C22semidirect
257. #2324C22semidirect
258. #2324C22semidirect
261. #2317C22semidirect
262. #2314C22semidirect
263. #2311C22semidirect
264. C4×C4⋊Q8C22semidirect
266. C4×#127C22semidirect
267. C4×#125C22semidirect
269. C4×#126C22semidirect
273. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
278. C4×#123C22semidirect
281. #2295C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
287. #2290C22semidirect
289. #2285C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#595812
#595442
#595412
#595102
#592452
#592112
#590172
#453992
#452592
#446832
#434712
#401642
#400492
#389642
#389092
#385552
#378582
#364622
#364602
#363122
#363002
#362732
#362352
#362112
#361012
#360112
#358002
#349182
#347002
#343132
#342422
#342012
C4×#5562
D4×#1172