Finite Group Databasebeta

← #8167370

Subgroups — #8167370

Order 512.

5536 conjugacy classes of subgroups.

The subgroup lattice has 1709 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59232C212yesmaximal, complemented
2#59131C212yesmaximal, complemented
3#58989C212yesmaximal, complemented
4#58799C212yesmaximal, complemented
5#58744C212yesmaximal, complemented
6#57170C214yesmaximal, complemented
7#56311C212yesmaximal, complemented
8#54843C214yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53015C211yesmaximal, characteristic, complemented
11#53005C211yesmaximal, characteristic, complemented
12#52325C214yesmaximal, complemented
13#45244C211yesmaximal, characteristic, complemented
14#45009C212yesmaximal, complemented
15#44870C211yesmaximal, characteristic, complemented
16#42987C212yesmaximal, complemented
17#42887C212yesmaximal, complemented
18#42480C212yesmaximal, complemented
19#42433C212yesmaximal, complemented
20#41234C212yesmaximal, complemented
21#40912C212yesmaximal, complemented
22#40164C214yesmaximal, complemented
23#39876C212yesmaximal, complemented
24#39334C212yesmaximal, complemented
25#38936C212yesmaximal, complemented
26#37611C212yesmaximal, complemented
27#37150C212yesmaximal, complemented
28#36470C212yesmaximal, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34977C211yesmaximal, characteristic, complemented
31#34609C211yesmaximal, characteristic, complemented
32C2×#556C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#548C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×#537C2212yescomplemented
38C2×#535C2212yes—
39C2×#532C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic, complemented
43#2860C2214yescomplemented
44#2850C2212yescomplemented
45#2850C2212yescomplemented
46#2844C2212yescomplemented
47#2840C2212yescomplemented
48#2832C2214yescomplemented
49#2828C2214yescomplemented
50#2824C2212yes—
51#2824C2214yescomplemented
52#2819C2214yescomplemented
53#2819C2212yescomplemented
54#2819C2214yescomplemented
55#2819C2214yescomplemented
56#2818C2214yescomplemented
57#2815C2214yescomplemented
58#2813C2214yescomplemented
59#2812C2214yescomplemented
60#2808C2214yescomplemented
61#2785C2212yescomplemented
62#2785C2212yescomplemented
63#2785C2214yescomplemented
64#2781C2214yescomplemented
65#2775C2214yescomplemented
66#2763C2212yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2753C2214yescomplemented
70#2737C2214yescomplemented
71#2737C2214yescomplemented
72#2723C2214yescomplemented
73#2723C2214yescomplemented
74#2723C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2710C2214yescomplemented
79#2703C2214yescomplemented
80#2699C2214yescomplemented
81#2696C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2685C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2684C2214yescomplemented
89#2684C2214yescomplemented
90#2683C2212yescomplemented
91#2679C2212yes—
92#2676C2214yescomplemented
93#2675C2212yescomplemented
94#2674C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2672C2214yescomplemented
98#2670C2212yes—
99#2670C2212yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2669C2214yes—
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2668C2214yescomplemented
112#2662C2214yescomplemented
113#2641C2212yes—
114#2640C2212yescomplemented
115#2635C2212yescomplemented
116#2635C2212yescomplemented
117#2635C2214yescomplemented
118#2635C2214yescomplemented
119#2635C2214yescomplemented
120#2632C2211yescharacteristic, complemented
121#2632C2212yescomplemented
122#2632C2211yescharacteristic, complemented
123#2632C2214yescomplemented
124#2632C2214yescomplemented
125#2631C2211yescharacteristic
126#2631C2211yescharacteristic, complemented
127#2631C2212yescomplemented
128#2631C2214yescomplemented
129#2628C2211yescharacteristic, complemented
130#2628C2211yescharacteristic, complemented
131#2624C2212yescomplemented
132#2619C2211yescharacteristic
133#2619C2214yescomplemented
134#2619C2211yescharacteristic, complemented
135#2616C2212yescomplemented
136#2615C2212yescomplemented
137#2615C2212yescomplemented
138#2613C2214yescomplemented
139#2610C2212yescomplemented
140#2610C2212yescomplemented
141#2610C2212yescomplemented
142#2610C2214yescomplemented
143#2610C2212yescomplemented
144#2604C2214yescomplemented
145#2603C2214yescomplemented
146#2592C2212yescomplemented
147#2580C2214yescomplemented
148#2572C2214yescomplemented
149#2572C2214yescomplemented
150#2572C2214yescomplemented
151#2567C2211yescharacteristic, complemented
152#2563C2211yescharacteristic, complemented
153#2563C2212yescomplemented
154#2562C2212yescomplemented
155#2559C2214yescomplemented
156#2557C2214yescomplemented
157#2555C2212yes—
158#2555C2214yescomplemented
159#2555C2214yescomplemented
160#2555C2214yescomplemented
161#2555C2212yescomplemented
162#2553C2214yescomplemented
163#2550C2212yescomplemented
164#2548C2214yescomplemented
165#2548C2211yescharacteristic, complemented
166#2544C2212yes—
167#2541C2211yescharacteristic
168#2541C2212yes—
169#2540C2212yes—
170#2540C2212yescomplemented
171#2540C2212yescomplemented
172#2535C2212yescomplemented
173#2529C2214yescomplemented
174#2518C2214yescomplemented
175#2518C2214yescomplemented
176#2500C2212yescomplemented
177#2500C2214yescomplemented
178#2497C2214yescomplemented
179#2492C2212yescomplemented
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2491C2212yescomplemented
183#2491C2212yescomplemented
184#2490C2212yescomplemented
185#2489C2212yescomplemented
186#2489C2212yescomplemented
187#2482C2212yescomplemented
188#2474C2214yescomplemented
189#2472C2214yescomplemented
190#2472C2214yescomplemented
191#2463C2212yescomplemented
192#2459C2214yescomplemented
193#2459C2214yescomplemented
194#2435C2212yescomplemented
195#2433C2214yes—
196#2433C2212yes—
197#2431C2212yes—
198#2431C2214yescomplemented
199#2431C2212yescomplemented
200#2431C2212yescomplemented
201#2428C2212yes—
202#2428C2214yescomplemented
203#2428C2214yescomplemented
204#2427C2212yescomplemented
205#2426C2212yes—
206#2426C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2420C2214yescomplemented
210#2418C2214yescomplemented
211#2416C2212yes—
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2214yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2410C2214yescomplemented
221#2409C2211yescharacteristic, complemented
222#2409C2212yescomplemented
223#2409C2211yescharacteristic, complemented
224#2408C2211yescharacteristic
225#2408C2212yes—
226#2408C2211yescharacteristic
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2214yescomplemented
230#2407C2212yescomplemented
231#2407C2212yescomplemented
232#2404C2212yescomplemented
233#2404C2214yescomplemented
234#2403C2212yes—
235#2398C2212yescomplemented
236#2397C2212yescomplemented
237#2388C2211yescharacteristic
238#2388C2212yescomplemented
239#2388C2211yescharacteristic, complemented
240#2388C2211yescharacteristic, complemented
241#2388C2211yescharacteristic, complemented
242#2388C2212yescomplemented
243#2367C2212yescomplemented
244#2363C2212yes—
245#2363C2214yescomplemented
246#2360C2212yescomplemented
247#2357C2212yescomplemented
248#2352C2212yescomplemented
249#2347C2212yescomplemented
250#2344C2212yescomplemented
251D4×C22⋊C4C2214yescomplemented
252#2321C2212yescomplemented
253#2321C2214yescomplemented
254#2321C2212yescomplemented
255#2320C2212yescomplemented
256#2319C2212yescomplemented
257C4×#127C2212yescomplemented
258C4×#124C2212yescomplemented
259C4×#124C2214yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#121C2212yescomplemented
263C4×#121C2212yescomplemented
264#2283C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C23×Q8C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2314yes—
276#556—48no—
277#553—48no—
278#548—48no—
279#546—48no—
280D42—48no—
281#537—48no—
282#535—48no—
283#532—44no—
284#532—44no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2314yes—
290C2×#127C2311yescharacteristic
291C2×#127C2312yes—
292C2×#127C2311yescharacteristic
293C2×#127C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#125C2312yes—
298C2×#124—44no—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2311yescharacteristic
308C2×#124C2312yes—
309C2×#124C2311yescharacteristic
310C2×#124C2314yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#120C2312yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C4×#41—44no—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2312yes—
429#395C2312yes—
430#395C2314yes—
431#395C2311yescharacteristic
432#395C2312yes—
433#395C2314yes—
434#395C2314yes—
435#395C2312yes—
436#395C2311yescharacteristic
437#395C2311yescharacteristic
438#395C2311yescharacteristic
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2311yescharacteristic
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2311yescharacteristic
472#394C2311yescharacteristic
473#394C2312yes—
474#394C2311yescharacteristic
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2312yes—
490#393C2314yes—
491#393C2312yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2311yescharacteristic
504#393C2314yes—
505#393C2312yes—
506#393C2311yescharacteristic
507#393C2311yescharacteristic
508#393C2311yescharacteristic
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2311yescharacteristic
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2312yes—
542#392C2312yes—
543#392C2311yescharacteristic
544#392C2312yes—
545#392C2311yescharacteristic
546#392C2311yescharacteristic
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#384C2312yes—
679#383C2314yes—
680#383C2311yescharacteristic
681#383C2314yes—
682#383C2312yes—
683#383C2311yescharacteristic
684#382C2312yes—
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#381C2312yes—
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#379C2312yes—
711#379C2312yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2311yescharacteristic
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741#376C2312yes—
742#376C2312yes—
743#376C2312yes—
744C43C2312yes—
745C25C2412yes—
746C25C2414yes—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—42no—
754C2×#41—42no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—84no—
759C22×Q8—42no—
760C22×Q8—44no—
761C22×Q8C2412yes—
762C22×Q8C2411yescharacteristic
763C22×Q8C2414yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2412yes—
766C22×Q8C2411yescharacteristic
767C22×Q8C2412yes—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4—48no—
773C22×D4—44no—
774C22×D4—48no—
775C22×D4—84no—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2414yes—
780C22×D4C2411yescharacteristic
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2411yescharacteristic
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2411yescharacteristic
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2414yes—
824C4⋊Q8—42no—
825C4⋊Q8—42no—
826C4⋊Q8—44no—
827#127—42no—
828#127—42no—
829#127—48no—
830#127—44no—
831#127—44no—
832#127—84no—
833#126—48no—
834#126—48no—
835#126—48no—
836#125—44no—
837#124—28no—
838#124—44no—
839#124—44no—
840#124—48no—
841#124—44no—
842#124—42no—
843#124—42no—
844#124—48no—
845#124—48no—
846#124—48no—
847#124—44no—
848#124—44no—
849#124—44no—
850#124—84no—
851#124—84no—
852#124—84no—
853#123—48no—
854#123—48no—
855C22⋊Q8—28no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—28no—
863#121—28no—
864#121—28no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—48no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—84no—
886#121—84no—
887#120—48no—
888#120—44no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—44no—
895#120—84no—
896#120—84no—
897#120—84no—
898#120—84no—
899C4×Q8—28no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—48no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—48no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—84no—
921C4×D4—84no—
922#117—28no—
923#117—28no—
924#117—42no—
925#117—42no—
926#117—42no—
927#117—84no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4—48no—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113C24—24no—
1114C24—42no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—42no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24C2512yes—
1126C24C2514yes—
1127C24C2514yes—
1128C24C2511yescharacteristic
1129C24C2512yes—
1130C24C2511yescharacteristic
1131C24C2511yescharacteristic
1132#41—416no—
1133#41—88no—
1134#41—88no—
1135#41—816no—
1136#41—816no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×Q8—44no—
1144C2×Q8—42no—
1145C2×Q8—44no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—88no—
1155C2×D4—22no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—22no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—41no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—88no—
1248C2×D4—816no—
1249C2×D4—832no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4H(5,𝔽2)18yes—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—28no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—28no—
1440C42—24no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42H(5,𝔽2)14yes—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—22no—
1461C23—24no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—24no—
1484C23—24no—
1485C23—24no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—88no—
1490C23—84no—
1491C23—84no—
1492C23—88no—
1493C23—88no—
1494C23—84no—
1495C23—88no—
1496C23—164no—
1497C23—164no—
1498C23—164no—
1499C23—164no—
1500C23—164no—
1501C23#58512yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—48no—
1505Q8—88no—
1506Q8—84no—
1507Q8—82no—
1508Q8—82no—
1509Q8—84no—
1510D4—416no—
1511D4—44no—
1512D4—48no—
1513D4—44no—
1514D4—44no—
1515D4—48no—
1516D4—48no—
1517D4—84no—
1518D4—84no—
1519D4—88no—
1520D4—88no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—88no—
1525D4—84no—
1526D4—88no—
1527D4—84no—
1528D4—88no—
1529D4—84no—
1530D4—84no—
1531D4—82no—
1532D4—82no—
1533D4—88no—
1534D4—84no—
1535D4—88no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540D4—164no—
1541D4—164no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×H(5,𝔽2)18yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4#58512yes—
1622C22—22no—
1623C22—24no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—44no—
1638C22—44no—
1639C22—41no—
1640C22—44no—
1641C22—41no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—44no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—44no—
1661C22—42no—
1662C22—44no—
1663C22—44no—
1664C22—42no—
1665C22—168no—
1666C22—1616no—
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)12yes—
1669C22C2×#58511yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22H(7,𝔽2)12yes—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—28no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—44no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—44no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—44no—
1695C4#354914yes—
1696C2—42no—
1697C2—81no—
1698C2—81no—
1699C2—82no—
1700C2—84no—
1701C2—82no—
1702C2—84no—
1703C2#6272911yescharacteristic
1704C2C2×#354911yescharacteristic
1705C2#6287411yescharacteristic
1706C2#6291812yes—
1707C2#6292312yes—
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. #59232C2semidirect
2. #59131C2semidirect
3. #58989C2semidirect
4. #58799C2semidirect
5. #58744C2semidirect
6. #57170C2semidirect
7. #56311C2semidirect
8. #54843C2semidirect
9. #53116C2semidirect
10. #53015C2semidirect
11. #53005C2semidirect
12. #52325C2semidirect
13. #45244C2semidirect
14. #45009C2semidirect
15. #44870C2semidirect
16. #42987C2semidirect
17. #42887C2semidirect
18. #42480C2semidirect
19. #42433C2semidirect
20. #41234C2semidirect
21. #40912C2semidirect
22. #40164C2semidirect
23. #39876C2semidirect
24. #39334C2semidirect
25. #38936C2semidirect
26. #37611C2semidirect
27. #37150C2semidirect
28. #36470C2semidirect
29. #35129C2semidirect
30. #34977C2semidirect
31. #34609C2semidirect
32. C2×#556C22semidirect
33. C2×#553C22semidirect
34. C2×#548C22semidirect
35. C2×#546C22semidirect
37. C2×#537C22semidirect
39. C2×#532C22semidirect
40. C2×#532C22semidirect
42. C2×C4×#41C22semidirect
43. #2860C22semidirect
44. #2850C22semidirect
45. #2850C22semidirect
46. #2844C22semidirect
47. #2840C22semidirect
48. #2832C22semidirect
49. #2828C22semidirect
51. #2824C22semidirect
52. #2819C22semidirect
53. #2819C22semidirect
54. #2819C22semidirect
55. #2819C22semidirect
56. #2818C22semidirect
57. #2815C22semidirect
58. #2813C22semidirect
59. #2812C22semidirect
60. #2808C22semidirect
61. #2785C22semidirect
62. #2785C22semidirect
63. #2785C22semidirect
64. #2781C22semidirect
65. #2775C22semidirect
66. #2763C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2737C22semidirect
71. #2737C22semidirect
72. #2723C22semidirect
73. #2723C22semidirect
74. #2723C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2710C22semidirect
79. #2703C22semidirect
80. #2699C22semidirect
81. #2696C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2683C22semidirect
92. #2676C22semidirect
93. #2675C22semidirect
94. #2674C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2672C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2668C22semidirect
112. #2662C22semidirect
114. #2640C22semidirect
115. #2635C22semidirect
116. #2635C22semidirect
117. #2635C22semidirect
118. #2635C22semidirect
119. #2635C22semidirect
120. #2632C22semidirect
121. #2632C22semidirect
122. #2632C22semidirect
123. #2632C22semidirect
124. #2632C22semidirect
126. #2631C22semidirect
127. #2631C22semidirect
128. #2631C22semidirect
129. #2628C22semidirect
130. #2628C22semidirect
131. #2624C22semidirect
133. #2619C22semidirect
134. #2619C22semidirect
135. #2616C22semidirect
136. #2615C22semidirect
137. #2615C22semidirect
138. #2613C22semidirect
139. #2610C22semidirect
140. #2610C22semidirect
141. #2610C22semidirect
142. #2610C22semidirect
143. #2610C22semidirect
144. #2604C22semidirect
145. #2603C22semidirect
146. #2592C22semidirect
147. #2580C22semidirect
148. #2572C22semidirect
149. #2572C22semidirect
150. #2572C22semidirect
151. #2567C22semidirect
152. #2563C22semidirect
153. #2563C22semidirect
154. #2562C22semidirect
155. #2559C22semidirect
156. #2557C22semidirect
158. #2555C22semidirect
159. #2555C22semidirect
160. #2555C22semidirect
161. #2555C22semidirect
162. #2553C22semidirect
163. #2550C22semidirect
164. #2548C22semidirect
165. #2548C22semidirect
170. #2540C22semidirect
171. #2540C22semidirect
172. #2535C22semidirect
173. #2529C22semidirect
174. #2518C22semidirect
175. #2518C22semidirect
176. #2500C22semidirect
177. #2500C22semidirect
178. #2497C22semidirect
179. #2492C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2491C22semidirect
183. #2491C22semidirect
184. #2490C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
187. #2482C22semidirect
188. #2474C22semidirect
189. #2472C22semidirect
190. #2472C22semidirect
191. #2463C22semidirect
192. #2459C22semidirect
193. #2459C22semidirect
194. #2435C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2427C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2420C22semidirect
210. #2418C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2410C22semidirect
221. #2409C22semidirect
222. #2409C22semidirect
223. #2409C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2404C22semidirect
233. #2404C22semidirect
235. #2398C22semidirect
236. #2397C22semidirect
238. #2388C22semidirect
239. #2388C22semidirect
240. #2388C22semidirect
241. #2388C22semidirect
242. #2388C22semidirect
243. #2367C22semidirect
245. #2363C22semidirect
246. #2360C22semidirect
247. #2357C22semidirect
248. #2352C22semidirect
249. #2347C22semidirect
250. #2344C22semidirect
251. D4×C22⋊C4C22semidirect
252. #2321C22semidirect
253. #2321C22semidirect
254. #2321C22semidirect
255. #2320C22semidirect
256. #2319C22semidirect
257. C4×#127C22semidirect
258. C4×#124C22semidirect
259. C4×#124C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C4×#121C22semidirect
263. C4×#121C22semidirect
264. #2283C22semidirect
265. #2283C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#592322
#591312
#589892
#587992
#587442
#571702
#563112
#548432
#531162
#530152
#530052
#523252
#452442
#450092
#448702
#429872
#428872
#424802
#424332
#412342
#409122
#401642
#398762
#393342
#389362
#376112
#371502
#364702
#351292
#349772
#346092