Finite Group Databasebeta

← #7638263

Subgroups — #7638263

Order 512.

5840 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52303C212yesmaximal, complemented
2#52301C212yesmaximal, complemented
3#52278C212yesmaximal, complemented
4#52163C212yesmaximal, complemented
5#40040C214yesmaximal, complemented
6#40038C214yesmaximal, complemented
7#39765C211yesmaximal, characteristic, complemented
8#39628C211yesmaximal, characteristic, complemented
9#39493C211yesmaximal, characteristic, complemented
10#39355C211yesmaximal, characteristic, complemented
11#39142C212yesmaximal, complemented
12#38902C212yesmaximal, complemented
13#38770C212yesmaximal, complemented
14#38768C212yesmaximal, complemented
15#38762C212yesmaximal, complemented
16#38760C212yesmaximal, complemented
17#38250C212yesmaximal, complemented
18#38248C212yesmaximal, complemented
19#37944C212yesmaximal, complemented
20#37748C212yesmaximal, complemented
21#36639C211yesmaximal, characteristic, complemented
22#34959C214yesmaximal, complemented
23#34918C212yesmaximal, complemented
24#34732C214yesmaximal, complemented
25#34720C212yesmaximal, complemented
26#34681C212yesmaximal, complemented
27#34619C212yesmaximal, complemented
28C4×#546C212yesmaximal, complemented
29C4×#535C212yesmaximal, complemented
30C4×#532C211yesmaximal, characteristic, complemented
31C4×#529C211yesmaximal, characteristic, complemented
32C2×#546C2212yes—
33C2×#535C2212yes—
34C2×#533C2211yescharacteristic, complemented
35C2×#532C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#525C2214yescomplemented
39C2×C4×#41C2212yes—
40C2×C4×#41C2212yescomplemented
41C22×C4×D4C2212yescomplemented
42#2862C2211yescharacteristic, complemented
43#2862C2211yescharacteristic, complemented
44#2861C2212yescomplemented
45#2861C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2850C2212yescomplemented
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2850C2212yescomplemented
52#2808C2212yescomplemented
53#2808C2212yescomplemented
54#2806C2212yescomplemented
55#2805C2212yescomplemented
56#2804C2212yes—
57#2804C2212yescomplemented
58#2804C2212yescomplemented
59#2804C2212yescomplemented
60#2797C2214yescomplemented
61#2783C2214yescomplemented
62#2782C2214yescomplemented
63#2782C2214yescomplemented
64#2782C2214yescomplemented
65#2781C2214yescomplemented
66#2779C2214yescomplemented
67#2778C2214yescomplemented
68#2745C2214yescomplemented
69#2744C2214yescomplemented
70#2732C2212yes—
71#2732C2212yescomplemented
72#2732C2212yescomplemented
73#2730C2214yescomplemented
74#2728C2214yescomplemented
75#2724C2212yescomplemented
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2697C2214yescomplemented
79#2696C2214yescomplemented
80#2694C2214yescomplemented
81#2688C2214yescomplemented
82#2686C2214yescomplemented
83#2684C2214yes—
84#2684C2214yescomplemented
85#2684C2214yescomplemented
86#2682C2212yes—
87#2682C2212yes—
88#2679C2212yes—
89#2679C2212yes—
90#2668C2214yes—
91#2668C2214yescomplemented
92#2654C2214yescomplemented
93#2653C2214yescomplemented
94#2650C2214yescomplemented
95#2649C2214yescomplemented
96#2647C2212yescomplemented
97#2645C2212yescomplemented
98#2644C2212yescomplemented
99#2640C2212yescomplemented
100#2628C2212yescomplemented
101#2625C2212yescomplemented
102#2624C2212yes—
103#2620C2212yes—
104#2597C2214yescomplemented
105#2597C2214yescomplemented
106#2595C2214yescomplemented
107#2595C2214yescomplemented
108#2592C2212yescomplemented
109#2589C2214yescomplemented
110#2587C2214yescomplemented
111#2580C2212yescomplemented
112#2578C2214yescomplemented
113#2576C2214yescomplemented
114#2570C2212yescomplemented
115#2559C2214yes—
116#2557C2214yescomplemented
117#2544C2212yes—
118#2516C2214yescomplemented
119#2513C2212yescomplemented
120#2511C2212yescomplemented
121#2510C2214yescomplemented
122#2505C2214yescomplemented
123#2480C2214yescomplemented
124#2477C2214yescomplemented
125#2477C2214yescomplemented
126#2476C2214yescomplemented
127#2475C2214yescomplemented
128#2472C2214yescomplemented
129#2472C2214yescomplemented
130#2471C2214yescomplemented
131#2470C2214yescomplemented
132#2465C2214yescomplemented
133#2464C2214yes—
134#2464C2214yescomplemented
135#2463C2214yescomplemented
136#2461C2214yescomplemented
137#2460C2214yescomplemented
138#2458C2214yescomplemented
139#2458C2214yescomplemented
140#2457C2214yescomplemented
141#2452C2212yescomplemented
142#2452C2212yescomplemented
143#2450C2214yescomplemented
144#2450C2214yescomplemented
145#2447C2212yescomplemented
146#2446C2212yescomplemented
147#2445C2212yes—
148#2445C2212yes—
149#2444C2214yescomplemented
150#2444C2214yescomplemented
151#2440C2212yescomplemented
152#2439C2212yescomplemented
153#2438C2214yescomplemented
154#2433C2212yes—
155#2432C2212yes—
156#2430C2214yescomplemented
157#2428C2212yes—
158#2427C2212yescomplemented
159#2424C2214yes—
160#2424C2214yes—
161#2424C2214yescomplemented
162#2422C2212yescomplemented
163#2421C2212yescomplemented
164#2418C2214yescomplemented
165#2418C2214yescomplemented
166#2416C2212yes—
167#2415C2212yescomplemented
168#2411C2214yescomplemented
169#2408C2212yescomplemented
170#2407C2212yes—
171#2404C2214yescomplemented
172#2401C2214yescomplemented
173#2398C2214yescomplemented
174#2398C2214yescomplemented
175#2398C2214yescomplemented
176#2396C2214yescomplemented
177#2395C2214yescomplemented
178#2395C2214yescomplemented
179#2392C2214yescomplemented
180#2392C2214yescomplemented
181#2388C2214yescomplemented
182#2367C2212yescomplemented
183#2364C2214yes—
184#2363C2212yes—
185#2360C2212yescomplemented
186#2359C2214yescomplemented
187#2358C2214yes—
188#2352C2212yes—
189#2349C2212yescomplemented
190#2342C2214yescomplemented
191#2339C2212yes—
192D4×C22⋊C4C2212yescomplemented
193#2328C2212yes—
194#2328C2212yes—
195#2326C2212yescomplemented
196#2326C2212yescomplemented
197#2324C2214yescomplemented
198#2324C2214yescomplemented
199#2321C2214yescomplemented
200#2321C2214yescomplemented
201#2317C2212yescomplemented
202#2311C2212yes—
203#2309C2212yescomplemented
204C4×C4⋊Q8C2211yescharacteristic, complemented
205C4×C4⋊Q8C2211yescharacteristic, complemented
206C4×#127C2211yescharacteristic
207C4×#127C2212yes—
208C4×#127C2211yescharacteristic
209C4×#125C2211yescharacteristic, complemented
210C4×#125C2211yescharacteristic, complemented
211C4×#126C2212yescomplemented
212C4×#126C2212yescomplemented
213C4×#124C2211yescharacteristic
214C4×#124C2211yescharacteristic
215C4×#124C2212yescomplemented
216C4×#124C2212yescomplemented
217C4×#124C2212yescomplemented
218C4×#124C2212yescomplemented
219C4×#124C2212yescomplemented
220C4×#124C2212yescomplemented
221C4×#124C2212yescomplemented
222C4×C22⋊Q8C2211yescharacteristic, complemented
223C4×C22⋊Q8C2212yescomplemented
224C4×C22⋊Q8C2214yescomplemented
225C4×C22⋊Q8C2211yescharacteristic, complemented
226C4×#123C2214yescomplemented
227C4×#123C2214yescomplemented
228C4×#123C2212yescomplemented
229C4×#123C2212yescomplemented
230C4×#121C2212yes—
231C4×#121C2211yescharacteristic
232C4×#121C2214yes—
233C4×#121C2211yescharacteristic
234C4×#121C2214yescomplemented
235C4×#121C2214yescomplemented
236C4×#121C2212yescomplemented
237C4×#121C2212yescomplemented
238C4×#121C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#120C2214yes—
241C4×#120C2214yescomplemented
242C4×#120C2214yescomplemented
243C4×#120C2214yescomplemented
244#2298C2212yescomplemented
245#2297C2212yescomplemented
246#2297C2212yescomplemented
247#2297C2212yescomplemented
248#2295C2212yescomplemented
249#2295C2211yescharacteristic, complemented
250#2293C2211yescharacteristic
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2212yescomplemented
254#2290C2214yescomplemented
255#2290C2212yescomplemented
256#2290C2214yescomplemented
257#2285C2211yescharacteristic, complemented
258#2283C2211yescharacteristic, complemented
259C42×Q8C2211yescharacteristic, complemented
260C42×D4C2211yescharacteristic
261C42×D4C2212yescomplemented
262C42×D4C2212yescomplemented
263C42×D4C2212yescomplemented
264C4×#117C2212yescomplemented
265C2×C4×C22⋊C4C2214yescomplemented
266C2×C43C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×D4C2312yes—
271C24×C4C2314yes—
272#546—216no—
273#535—216no—
274#533—44no—
275#532—28no—
276#532—44no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284#529—28no—
285C2×#126C2312yes—
286C2×#125C2311yescharacteristic
287C2×#125C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2311yescharacteristic
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296#525—416no—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2311yescharacteristic
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C4×#41—48no—
327C4×#41—48no—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×D4—48no—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2314yes—
385C22×C42C2314yes—
386C22×C42C2311yescharacteristic
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#384C2311yescharacteristic
646#384C2311yescharacteristic
647#384C2312yes—
648#383C2312yes—
649#382C2311yescharacteristic
650#382C2311yescharacteristic
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#381C2314yes—
658#381C2314yes—
659#381C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2311yescharacteristic
670#379C2314yes—
671#379C2314yes—
672#379C2314yes—
673#379C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730#376C2312yes—
731#376C2312yes—
732#376C2314yes—
733C2×#95C2314yes—
734C2×#95C2314yes—
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2312yes—
742C43C2311yescharacteristic
743C43C2311yescharacteristic
744C25C2414yes—
745C2×#41—28no—
746C2×#41—28no—
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2412yes—
759C22×D4—28no—
760C22×D4—28no—
761C22×D4—44no—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C23×C4—48no—
778C23×C4—48no—
779C23×C4—48no—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2411yescharacteristic
791C23×C4C2412yes—
792C23×C4C2414yes—
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C4⋊Q8—24no—
800C4⋊Q8—42no—
801C4⋊Q8—42no—
802C4⋊Q8—42no—
803#127—28no—
804#127—42no—
805#127#4118yescomplemented
806#126—28no—
807#125—24no—
808#125—44no—
809#124—24no—
810#124—28no—
811#124—28no—
812#124—28no—
813#124—28no—
814#124—44no—
815#124—44no—
816#124—44no—
817#123—216no—
818#123—28no—
819#123—48no—
820#123—48no—
821#123—48no—
822C22⋊Q8—28no—
823C22⋊Q8—24no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829#121—24no—
830#121—28no—
831#121—28no—
832#121—216no—
833#121—216no—
834#121—28no—
835#121—216no—
836#121—44no—
837#121—48no—
838#121—48no—
839#121—44no—
840#120—216no—
841#120—216no—
842#120—216no—
843#120—48no—
844#120—48no—
845#120—48no—
846C4×Q8—24no—
847C4×Q8—28no—
848C4×Q8—42no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—216no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—48no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—42no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—48no—
880C4×D4—48no—
881C4×D4#4118yescomplemented
882#117—28no—
883#117—28no—
884#117—48no—
885#117—44no—
886#117—48no—
887#117—48no—
888#117—44no—
889#117—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C22⋊C4—216no—
937C2×C22⋊C4—48no—
938C2×C22⋊C4—48no—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42—24no—
997C2×C42—28no—
998C2×C42—24no—
999C2×C42—48no—
1000C2×C42—48no—
1001C2×C42—42no—
1002C2×C42—42no—
1003C2×C42—42no—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24—28no—
1100C24—28no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24C2514yes—
1107C24C2512yes—
1108C24C2514yes—
1109C24C2511yescharacteristic
1110#41—432no—
1111#41—432no—
1112#41—816no—
1113C2×Q8—22no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—42no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—432no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4C2×#4118yes—
1171C2×D4C2×#4118yes—
1172C2×D4C2×#4114yes—
1173C2×D4C2×#4118yes—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—22no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—832no—
1230C22×C4C2×#4118yes—
1231C22×C4H(5,𝔽2)14yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2514yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4C2×#4114yes—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4C2×#4118yes—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—28no—
1378C42—28no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—42no—
1398C42—42no—
1399C42C2×#4114yes—
1400C42C2×#4114yes—
1401C42H(5,𝔽2)14yes—
1402C23—21no—
1403C23—22no—
1404C23—24no—
1405C23—21no—
1406C23—24no—
1407C23—24no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—22no—
1414C23—21no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—21no—
1419C23—21no—
1420C23—24no—
1421C23—24no—
1422C23—24no—
1423C23—24no—
1424C23—24no—
1425C23—24no—
1426C23—24no—
1427C23—416no—
1428C23—416no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23C22×#4114yes—
1435C23C22×#4118yes—
1436C23C2×H(5,𝔽2)12yes—
1437C23C2611yescharacteristic
1438Q8—44no—
1439Q8—48no—
1440Q8—48no—
1441Q8—84no—
1442Q8—84no—
1443D4—216no—
1444D4—48no—
1445D4—44no—
1446D4—48no—
1447D4—416no—
1448D4—48no—
1449D4—416no—
1450D4—416no—
1451D4—48no—
1452D4—84no—
1453D4—84no—
1454D4—88no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458C2×C4—28no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—216no—
1478C2×C4—28no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—416no—
1530C2×C4—416no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—416no—
1535C2×C4—48no—
1536C2×C4—416no—
1537C2×C4—84no—
1538C2×C4—88no—
1539C2×C4—88no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4114yes—
1548C2×C4C22×#4112yes—
1549C2×C4C22×#4112yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4C2×H(5,𝔽2)12yes—
1552C2×C4C2×H(5,𝔽2)12yes—
1553C2×C4C2×H(5,𝔽2)12yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4#58512yes—
1556C2×C4#58512yes—
1557C2×C4#58512yes—
1558C22—22no—
1559C22—22no—
1560C22—28no—
1561C22—28no—
1562C22—22no—
1563C22—24no—
1564C22—24no—
1565C22—24no—
1566C22—28no—
1567C22—42no—
1568C22—44no—
1569C22—41no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—44no—
1576C22—41no—
1577C22—44no—
1578C22—41no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—44no—
1584C22—44no—
1585C22—44no—
1586C22—832no—
1587C22C23×#4111yescharacteristic
1588C22C23×#4111yescharacteristic
1589C22C22×H(5,𝔽2)11yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—24no—
1603C4—44no—
1604C4—42no—
1605C4—44no—
1606C4—42no—
1607C4—44no—
1608C4—44no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—44no—
1614C4—42no—
1615C4—41no—
1616C4—42no—
1617C4—41no—
1618C4—44no—
1619C4#348114yes—
1620C4#355814yes—
1621C2—42no—
1622C2—48no—
1623C2—44no—
1624C2—84no—
1625C2#6268611yescharacteristic
1626C2C2×#348111yescharacteristic
1627C2C2×#355811yescharacteristic
1628C2#6274811yescharacteristic
1629C2#6277311yescharacteristic
1630C2#6278111yescharacteristic
1631C2#6280011yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52303C2semidirect
2. #52301C2semidirect
3. #52278C2semidirect
4. #52163C2semidirect
5. #40040C2semidirect
6. #40038C2semidirect
7. #39765C2semidirect
8. #39628C2semidirect
9. #39493C2semidirect
10. #39355C2semidirect
11. #39142C2semidirect
12. #38902C2semidirect
13. #38770C2semidirect
14. #38768C2semidirect
15. #38762C2semidirect
16. #38760C2semidirect
17. #38250C2semidirect
18. #38248C2semidirect
19. #37944C2semidirect
20. #37748C2semidirect
21. #36639C2semidirect
22. #34959C2semidirect
23. #34918C2semidirect
24. #34732C2semidirect
25. #34720C2semidirect
26. #34681C2semidirect
27. #34619C2semidirect
28. C4×#546C2semidirect
29. C4×#535C2semidirect
30. C4×#532C2semidirect
31. C4×#529C2semidirect
34. C2×#533C22semidirect
38. C2×#525C22semidirect
40. C2×C4×#41C22semidirect
41. C22×C4×D4C22semidirect
42. #2862C22semidirect
43. #2862C22semidirect
44. #2861C22semidirect
45. #2861C22semidirect
48. #2850C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2850C22semidirect
52. #2808C22semidirect
53. #2808C22semidirect
54. #2806C22semidirect
55. #2805C22semidirect
57. #2804C22semidirect
58. #2804C22semidirect
59. #2804C22semidirect
60. #2797C22semidirect
61. #2783C22semidirect
62. #2782C22semidirect
63. #2782C22semidirect
64. #2782C22semidirect
65. #2781C22semidirect
66. #2779C22semidirect
67. #2778C22semidirect
68. #2745C22semidirect
69. #2744C22semidirect
71. #2732C22semidirect
72. #2732C22semidirect
73. #2730C22semidirect
74. #2728C22semidirect
75. #2724C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
78. #2697C22semidirect
79. #2696C22semidirect
80. #2694C22semidirect
81. #2688C22semidirect
82. #2686C22semidirect
84. #2684C22semidirect
85. #2684C22semidirect
91. #2668C22semidirect
92. #2654C22semidirect
93. #2653C22semidirect
94. #2650C22semidirect
95. #2649C22semidirect
96. #2647C22semidirect
97. #2645C22semidirect
98. #2644C22semidirect
99. #2640C22semidirect
100. #2628C22semidirect
101. #2625C22semidirect
104. #2597C22semidirect
105. #2597C22semidirect
106. #2595C22semidirect
107. #2595C22semidirect
108. #2592C22semidirect
109. #2589C22semidirect
110. #2587C22semidirect
111. #2580C22semidirect
112. #2578C22semidirect
113. #2576C22semidirect
114. #2570C22semidirect
116. #2557C22semidirect
118. #2516C22semidirect
119. #2513C22semidirect
120. #2511C22semidirect
121. #2510C22semidirect
122. #2505C22semidirect
123. #2480C22semidirect
124. #2477C22semidirect
125. #2477C22semidirect
126. #2476C22semidirect
127. #2475C22semidirect
128. #2472C22semidirect
129. #2472C22semidirect
130. #2471C22semidirect
131. #2470C22semidirect
132. #2465C22semidirect
134. #2464C22semidirect
135. #2463C22semidirect
136. #2461C22semidirect
137. #2460C22semidirect
138. #2458C22semidirect
139. #2458C22semidirect
140. #2457C22semidirect
141. #2452C22semidirect
142. #2452C22semidirect
143. #2450C22semidirect
144. #2450C22semidirect
145. #2447C22semidirect
146. #2446C22semidirect
149. #2444C22semidirect
150. #2444C22semidirect
151. #2440C22semidirect
152. #2439C22semidirect
153. #2438C22semidirect
156. #2430C22semidirect
158. #2427C22semidirect
161. #2424C22semidirect
162. #2422C22semidirect
163. #2421C22semidirect
164. #2418C22semidirect
165. #2418C22semidirect
167. #2415C22semidirect
168. #2411C22semidirect
169. #2408C22semidirect
171. #2404C22semidirect
172. #2401C22semidirect
173. #2398C22semidirect
174. #2398C22semidirect
175. #2398C22semidirect
176. #2396C22semidirect
177. #2395C22semidirect
178. #2395C22semidirect
179. #2392C22semidirect
180. #2392C22semidirect
181. #2388C22semidirect
182. #2367C22semidirect
185. #2360C22semidirect
186. #2359C22semidirect
189. #2349C22semidirect
190. #2342C22semidirect
192. D4×C22⋊C4C22semidirect
195. #2326C22semidirect
196. #2326C22semidirect
197. #2324C22semidirect
198. #2324C22semidirect
199. #2321C22semidirect
200. #2321C22semidirect
201. #2317C22semidirect
203. #2309C22semidirect
204. C4×C4⋊Q8C22semidirect
205. C4×C4⋊Q8C22semidirect
209. C4×#125C22semidirect
210. C4×#125C22semidirect
211. C4×#126C22semidirect
212. C4×#126C22semidirect
215. C4×#124C22semidirect
216. C4×#124C22semidirect
217. C4×#124C22semidirect
218. C4×#124C22semidirect
219. C4×#124C22semidirect
220. C4×#124C22semidirect
221. C4×#124C22semidirect
222. C4×C22⋊Q8C22semidirect
223. C4×C22⋊Q8C22semidirect
224. C4×C22⋊Q8C22semidirect
225. C4×C22⋊Q8C22semidirect
226. C4×#123C22semidirect
227. C4×#123C22semidirect
228. C4×#123C22semidirect
229. C4×#123C22semidirect
234. C4×#121C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
238. C4×#121C22semidirect
239. C4×#121C22semidirect
241. C4×#120C22semidirect
242. C4×#120C22semidirect
243. C4×#120C22semidirect
244. #2298C22semidirect
245. #2297C22semidirect
246. #2297C22semidirect
247. #2297C22semidirect
248. #2295C22semidirect
249. #2295C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2290C22semidirect
255. #2290C22semidirect
256. #2290C22semidirect
257. #2285C22semidirect
258. #2283C22semidirect
259. C42×Q8C22semidirect
261. C42×D4C22semidirect
262. C42×D4C22semidirect
263. C42×D4C22semidirect
264. C4×#117C22semidirect
265. C2×C4×C22⋊C4C22semidirect
266. C2×C43C22semidirect
805. #127#41semidirect
881. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#523032
#523012
#522782
#521632
#400402
#400382
#397652
#396282
#394932
#393552
#391422
#389022
#387702
#387682
#387622
#387602
#382502
#382482
#379442
#377482
#366392
#349592
#349182
#347322
#347202
#346812
#346192
C4×#5462
C4×#5352
C4×#5322
C4×#5292