Finite Group Databasebeta

← #8106181

Subgroups — #8106181

Order 512.

6755 conjugacy classes of subgroups.

The subgroup lattice has 1845 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53055C212yesmaximal, complemented
2#53015C211yesmaximal, characteristic, complemented
3#52957C211yesmaximal, characteristic, complemented
4#52410C212yesmaximal, complemented
5#52395C212yesmaximal, complemented
6#52325C214yesmaximal, complemented
7#44914C211yesmaximal, characteristic, complemented
8#44887C212yesmaximal, complemented
9#44870C211yesmaximal, characteristic, complemented
10#44148C214yesmaximal, complemented
11#43575C212yesmaximal, complemented
12#43098C212yesmaximal, complemented
13#42963C212yesmaximal, complemented
14#42923C212yesmaximal, complemented
15#42447C212yesmaximal, complemented
16#42420C212yesmaximal, complemented
17#42091C212yesmaximal, complemented
18#42057C212yesmaximal, complemented
19#41234C212yesmaximal, complemented
20#40912C212yesmaximal, complemented
21#40512C214yesmaximal, complemented
22#40490C214yesmaximal, complemented
23#36203C212yesmaximal, complemented
24#36160C212yesmaximal, complemented
25#36123C212yesmaximal, complemented
26D4×#121C212yesmaximal, complemented
27#35250C212yesmaximal, complemented
28#35237C211yesmaximal, characteristic, complemented
29#35076C211yesmaximal, characteristic, complemented
30#35005C212yesmaximal, complemented
31C2×#2388C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C2×#555C2212yescomplemented
34C2×#546C2214yescomplemented
35C2×D42C2214yescomplemented
36C2×D42C2212yescomplemented
37C2×#538C2214yescomplemented
38C2×#535C2212yescomplemented
39C2×#535C2212yescomplemented
40C2×#532C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42C22×#121C2212yescomplemented
43C22×C4×D4C2211yescharacteristic, complemented
44C22×C4×D4C2212yescomplemented
45#2857C2212yescomplemented
46#2856C2212yes—
47#2854C2212yescomplemented
48#2847C2212yes—
49#2847C2212yescomplemented
50#2847C2212yescomplemented
51#2847C2212yescomplemented
52#2847C2212yescomplemented
53#2840C2212yescomplemented
54#2832C2214yescomplemented
55#2828C2214yescomplemented
56#2828C2212yescomplemented
57#2824C2214yescomplemented
58#2824C2214yescomplemented
59#2824C2212yescomplemented
60#2819C2214yescomplemented
61#2819C2212yescomplemented
62#2819C2214yescomplemented
63#2818C2214yescomplemented
64#2815C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2214yescomplemented
67#2804C2214yescomplemented
68#2785C2212yescomplemented
69#2784C2212yescomplemented
70#2782C2212yescomplemented
71#2775C2214yescomplemented
72#2763C2212yescomplemented
73#2753C2214yescomplemented
74#2737C2214yescomplemented
75#2723C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2703C2214yescomplemented
82#2696C2214yescomplemented
83#2686C2214yescomplemented
84#2684C2214yescomplemented
85#2684C2214yescomplemented
86#2679C2212yescomplemented
87#2676C2214yescomplemented
88#2675C2212yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2670C2212yescomplemented
94#2670C2212yescomplemented
95#2670C2214yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2662C2214yescomplemented
104#2661C2214yescomplemented
105#2657C2214yescomplemented
106#2639C2214yescomplemented
107#2636C2214yescomplemented
108#2635C2212yescomplemented
109#2635C2212yescomplemented
110#2631C2212yescomplemented
111#2631C2214yescomplemented
112#2631C2212yescomplemented
113#2619C2214yescomplemented
114#2617C2214yescomplemented
115#2617C2214yescomplemented
116#2615C2212yescomplemented
117#2615C2212yescomplemented
118#2615C2212yescomplemented
119#2615C2212yescomplemented
120#2613C2214yescomplemented
121#2612C2212yescomplemented
122#2610C2214yescomplemented
123#2603C2214yescomplemented
124#2591C2212yescomplemented
125#2574C2214yescomplemented
126#2572C2214yescomplemented
127#2563C2212yescomplemented
128#2563C2211yescharacteristic, complemented
129#2563C2211yescharacteristic, complemented
130#2559C2214yescomplemented
131#2559C2214yescomplemented
132#2557C2214yescomplemented
133#2557C2214yescomplemented
134#2555C2214yescomplemented
135#2555C2212yescomplemented
136#2544C2214yescomplemented
137#2543C2214yescomplemented
138#2541C2212yescomplemented
139#2541C2211yescharacteristic, complemented
140#2541C2211yescharacteristic, complemented
141#2539C2212yescomplemented
142#2537C2212yescomplemented
143#2537C2212yescomplemented
144#2535C2212yescomplemented
145#2535C2212yescomplemented
146#2534C2214yescomplemented
147#2526C2214yescomplemented
148#2518C2214yescomplemented
149#2504C2212yescomplemented
150#2500C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2496C2212yescomplemented
154#2495C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2488C2214yescomplemented
160#2487C2211yescharacteristic, complemented
161#2487C2211yescharacteristic, complemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2474C2214yescomplemented
165#2472C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2464C2214yescomplemented
170#2463C2212yescomplemented
171#2459C2214yescomplemented
172#2459C2214yescomplemented
173#2456C2214yescomplemented
174#2440C2212yescomplemented
175#2439C2212yescomplemented
176#2436C2214yescomplemented
177#2433C2212yescomplemented
178#2433C2212yescomplemented
179#2433C2214yescomplemented
180#2433C2214yescomplemented
181#2431C2214yescomplemented
182#2431C2214yescomplemented
183#2430C2214yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2214yescomplemented
188#2428C2212yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2420C2212yescomplemented
196#2420C2214yescomplemented
197#2416C2214yescomplemented
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2414C2212yescomplemented
201#2414C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2411C2214yescomplemented
205#2410C2214yescomplemented
206#2410C2214yescomplemented
207#2410C2214yescomplemented
208#2410C2214yescomplemented
209#2408C2211yescharacteristic, complemented
210#2408C2211yescharacteristic, complemented
211#2408C2212yescomplemented
212#2408C2214yescomplemented
213#2408C2212yescomplemented
214#2405C2212yescomplemented
215#2404C2212yescomplemented
216#2404C2212yescomplemented
217#2404C2214yescomplemented
218#2404C2214yescomplemented
219#2403C2212yescomplemented
220#2403C2214yescomplemented
221#2403C2212yescomplemented
222#2403C2214yescomplemented
223#2388C2211yescharacteristic
224#2388C2211yescharacteristic
225#2388C2211yescharacteristic, complemented
226#2388C2211yescharacteristic, complemented
227#2388C2211yescharacteristic, complemented
228#2388C2211yescharacteristic, complemented
229#2388C2211yescharacteristic, complemented
230#2388C2212yescomplemented
231#2388C2211yescharacteristic, complemented
232#2388C2212yescomplemented
233#2388C2212yescomplemented
234#2388C2212yescomplemented
235C2×#395C2211yescharacteristic, complemented
236C2×#394C2212yescomplemented
237C2×#394C2211yescharacteristic, complemented
238C2×#393C2211yescharacteristic, complemented
239C2×#392C2211yescharacteristic
240C2×#392C2212yescomplemented
241#2372C2214yescomplemented
242#2363C2214yescomplemented
243#2363C2212yescomplemented
244#2361C2212yescomplemented
245#2358C2214yescomplemented
246#2354C2212yescomplemented
247#2353C2214yescomplemented
248#2352C2214yescomplemented
249D4×C4⋊C4C2212yescomplemented
250#2346C2212yescomplemented
251D4×C22⋊C4C2212yescomplemented
252D4×C22⋊C4C2214yescomplemented
253#2328C2212yescomplemented
254#2328C2212yescomplemented
255#2325C2214yescomplemented
256#2321C2212yescomplemented
257#2321C2212yescomplemented
258#2311C2212yescomplemented
259#2311C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262#2283C2211yescharacteristic, complemented
263#2280C2211yescharacteristic, complemented
264#2280C2212yescomplemented
265C2×C4×C22⋊C4C2212yescomplemented
266C2×C4×C22⋊C4C2211yescharacteristic, complemented
267C22×#41—44no—
268C22×#41—48no—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2312yes—
274C22×#41C2311yescharacteristic
275C22×#41C2312yes—
276C23×Q8C2311yescharacteristic
277C23×D4C2312yes—
278C23×D4C2312yes—
279C23×D4C2311yescharacteristic
280C23×D4C2312yes—
281C23×D4C2314yes—
282C23×D4C2311yescharacteristic
283C23×D4C2314yes—
284C23×D4C2312yes—
285C23×D4C2311yescharacteristic
286C24×C4C2312yes—
287C24×C4C2311yescharacteristic
288C24×C4C2311yescharacteristic
289#555—48no—
290#546—416no—
291D42—48no—
292D42—416no—
293#538—416no—
294#535—48no—
295#535—48no—
296#532—44no—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2312yes—
299C2×#127C2314yes—
300C2×#127C2312yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2314yes—
304C2×#127C2314yes—
305C2×#127C2311yescharacteristic
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#124C2314yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2314yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121—44no—
324C2×#121—48no—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#120C2312yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×C4×D4—44no—
375C2×C4×D4—48no—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2312yes—
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2312yes—
445#395C2314yes—
446#395C2311yescharacteristic
447#395C2311yescharacteristic
448#395C2312yes—
449#395C2311yescharacteristic
450#395C2311yescharacteristic
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2311yescharacteristic
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2311yescharacteristic
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2311yescharacteristic
490#394C2311yescharacteristic
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#393C2314yes—
496#393C2312yes—
497#393C2312yes—
498#393C2312yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2312yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2311yescharacteristic
508#393C2311yescharacteristic
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2311yescharacteristic
514#393C2312yes—
515#393C2311yescharacteristic
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2311yescharacteristic
553#392C2312yes—
554#392C2312yes—
555#392C2311yescharacteristic
556#392C2311yescharacteristic
557#392C2311yescharacteristic
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#392C2312yes—
562#392C2312yes—
563#392C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
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#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#384C2312yes—
677#384C2312yes—
678#383C2314yes—
679#383C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2312yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#379C2312yes—
709#379C2312yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2311yescharacteristic
734C4×C22⋊C4C2311yescharacteristic
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2311yescharacteristic
742#376C2312yes—
743#376C2314yes—
744C2×#95C2311yescharacteristic
745C2×#95C2312yes—
746C2×#95C2311yescharacteristic
747C2×#95C2312yes—
748C25C2412yes—
749C25C2411yescharacteristic
750C25C2411yescharacteristic
751C25C2414yes—
752C25C2412yes—
753C2×#41—28no—
754C2×#41—28no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—42no—
759C2×#41—44no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—44no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—48no—
767C2×#41—44no—
768C2×#41—44no—
769C2×#41—464no—
770C22×Q8—42no—
771C22×Q8—44no—
772C22×Q8C2411yescharacteristic
773C22×Q8C2412yes—
774C22×Q8C2412yes—
775C22×Q8C2414yes—
776C22×Q8C2411yescharacteristic
777C22×D4—28no—
778C22×D4—28no—
779C22×D4—42no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—42no—
783C22×D4—44no—
784C22×D4—44no—
785C22×D4—48no—
786C22×D4—42no—
787C22×D4—42no—
788C22×D4—44no—
789C22×D4—44no—
790C22×D4—44no—
791C22×D4—42no—
792C22×D4—44no—
793C22×D4—44no—
794C22×D4—44no—
795C22×D4—48no—
796C22×D4—48no—
797C22×D4—48no—
798C22×D4—48no—
799C22×D4—48no—
800C22×D4—48no—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2411yescharacteristic
809C22×D4C2411yescharacteristic
810C22×D4C2412yes—
811C22×D4C2411yescharacteristic
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C23×C4—28no—
840C23×C4—24no—
841C23×C4—28no—
842C23×C4—24no—
843C23×C4—44no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873#127—44no—
874#127—42no—
875#127—48no—
876#127—44no—
877#127—48no—
878#127—44no—
879#127—48no—
880#126—48no—
881#126—48no—
882#124—48no—
883#124—44no—
884#124—48no—
885#124—48no—
886#124—48no—
887#124—48no—
888#124—48no—
889#124—48no—
890#124—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—216no—
902#121—44no—
903#121—48no—
904#121—48no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—44no—
925#121—48no—
926#121—44no—
927#121—44no—
928#121—48no—
929#120—48no—
930#120—44no—
931#120—48no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—48no—
936#120—44no—
937#120—48no—
938#120—48no—
939#120—48no—
940#120—48no—
941#120—48no—
942#120—48no—
943#120—48no—
944#120—48no—
945#120—48no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—216no—
949C4×D4—216no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970#117—28no—
971#117—48no—
972#117—44no—
973#117—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—42no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C42—24no—
1094C2×C42—44no—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24—24no—
1153C24—22no—
1154C24—22no—
1155C24—24no—
1156C24—22no—
1157C24—24no—
1158C24—24no—
1159C24—24no—
1160C24—24no—
1161C24—28no—
1162C24—24no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24—41no—
1168C24—41no—
1169C24—42no—
1170C24—41no—
1171C24—42no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24—42no—
1181C24C2514yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2514yes—
1187C24C2512yes—
1188C24C2511yescharacteristic
1189C24C2511yescharacteristic
1190#41—416no—
1191#41—432no—
1192#41—416no—
1193#41—432no—
1194#41—416no—
1195#41—416no—
1196#41—816no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—42no—
1200C2×Q8—41no—
1201C2×Q8—42no—
1202C2×Q8—41no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—416no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—41no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—41no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—432no—
1321C2×D4—416no—
1322C2×D4—432no—
1323C2×D4—416no—
1324C2×D4—816no—
1325C2×D4—88no—
1326C2×D4—832no—
1327C2×D4—816no—
1328C2×D4—832no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—22no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—432no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—416no—
1390C22×C4—88no—
1391C22×C4H(5,𝔽2)14yes—
1392C22×C4H(5,𝔽2)18yes—
1393C22×C4H(5,𝔽2)18yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2514yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—28no—
1528C42—28no—
1529C42—28no—
1530C42—24no—
1531C42—42no—
1532C42—42no—
1533C42—44no—
1534C42—44no—
1535C42—42no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—24no—
1556C23—24no—
1557C23—24no—
1558C23—24no—
1559C23—24no—
1560C23—24no—
1561C23—24no—
1562C23—24no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—48no—
1586C23—44no—
1587C23—48no—
1588C23—48no—
1589C23—48no—
1590C23—44no—
1591C23—44no—
1592C23—48no—
1593C23—44no—
1594C23—44no—
1595C23—82no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—88no—
1603C23—88no—
1604C23—88no—
1605C23—84no—
1606C23—88no—
1607C23—88no—
1608C23—84no—
1609C23—84no—
1610C23—88no—
1611C23—164no—
1612C23—164no—
1613C23—164no—
1614C23C2×H(5,𝔽2)14yes—
1615C23C2×H(5,𝔽2)14yes—
1616C23C2×H(5,𝔽2)12yes—
1617C23#58512yes—
1618C23C2611yescharacteristic
1619Q8—44no—
1620Q8—48no—
1621Q8—44no—
1622Q8—84no—
1623Q8—164no—
1624D4—216no—
1625D4—44no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—44no—
1630D4—48no—
1631D4—48no—
1632D4—44no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—44no—
1637D4—48no—
1638D4—44no—
1639D4—416no—
1640D4—416no—
1641D4—48no—
1642D4—48no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—84no—
1653D4—84no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661D4—164no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—28no—
1672C2×C4—216no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—88no—
1730C2×C4—82no—
1731C2×C4—82no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4—82no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4C2×H(5,𝔽2)14yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)14yes—
1741C2×C4C2×H(5,𝔽2)14yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)14yes—
1744C2×C4#58512yes—
1745C22—22no—
1746C22—24no—
1747C22—24no—
1748C22—22no—
1749C22—22no—
1750C22—24no—
1751C22—24no—
1752C22—24no—
1753C22—24no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—44no—
1765C22—42no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—44no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—44no—
1796C22—44no—
1797C22—816no—
1798C22—88no—
1799C22—88no—
1800C22—1616no—
1801C22—168no—
1802C22#354914yes—
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)12yes—
1805C22C22×H(5,𝔽2)12yes—
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C4—22no—
1809C4—24no—
1810C4—24no—
1811C4—22no—
1812C4—24no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—44no—
1817C4—44no—
1818C4—44no—
1819C4—44no—
1820C4—42no—
1821C4—42no—
1822C4—44no—
1823C4—44no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4#353214yes—
1830C2—24no—
1831C2—42no—
1832C2—44no—
1833C2—81no—
1834C2—81no—
1835C2—81no—
1836C2—82no—
1837C2—84no—
1838C2—84no—
1839C2C2×#353211yescharacteristic
1840C2#6272911yescharacteristic
1841C2C2×#354911yescharacteristic
1842C2#6281812yes—
1843C2#6283412yes—
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. #53055C2semidirect
2. #53015C2semidirect
3. #52957C2semidirect
4. #52410C2semidirect
5. #52395C2semidirect
6. #52325C2semidirect
7. #44914C2semidirect
8. #44887C2semidirect
9. #44870C2semidirect
10. #44148C2semidirect
11. #43575C2semidirect
12. #43098C2semidirect
13. #42963C2semidirect
14. #42923C2semidirect
15. #42447C2semidirect
16. #42420C2semidirect
17. #42091C2semidirect
18. #42057C2semidirect
19. #41234C2semidirect
20. #40912C2semidirect
21. #40512C2semidirect
22. #40490C2semidirect
23. #36203C2semidirect
24. #36160C2semidirect
25. #36123C2semidirect
26. D4×#121C2semidirect
27. #35250C2semidirect
28. #35237C2semidirect
29. #35076C2semidirect
30. #35005C2semidirect
31. C2×#2388C2semidirect
32. C23×#41C22semidirect
33. C2×#555C22semidirect
34. C2×#546C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#538C22semidirect
38. C2×#535C22semidirect
39. C2×#535C22semidirect
40. C2×#532C22semidirect
42. C22×#121C22semidirect
43. C22×C4×D4C22semidirect
44. C22×C4×D4C22semidirect
45. #2857C22semidirect
47. #2854C22semidirect
49. #2847C22semidirect
50. #2847C22semidirect
51. #2847C22semidirect
52. #2847C22semidirect
53. #2840C22semidirect
54. #2832C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2824C22semidirect
58. #2824C22semidirect
59. #2824C22semidirect
60. #2819C22semidirect
61. #2819C22semidirect
62. #2819C22semidirect
63. #2818C22semidirect
64. #2815C22semidirect
65. #2813C22semidirect
66. #2812C22semidirect
67. #2804C22semidirect
68. #2785C22semidirect
69. #2784C22semidirect
70. #2782C22semidirect
71. #2775C22semidirect
72. #2763C22semidirect
73. #2753C22semidirect
74. #2737C22semidirect
75. #2723C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2703C22semidirect
82. #2696C22semidirect
83. #2686C22semidirect
84. #2684C22semidirect
85. #2684C22semidirect
86. #2679C22semidirect
87. #2676C22semidirect
88. #2675C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2670C22semidirect
94. #2670C22semidirect
95. #2670C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2662C22semidirect
104. #2661C22semidirect
105. #2657C22semidirect
106. #2639C22semidirect
107. #2636C22semidirect
108. #2635C22semidirect
109. #2635C22semidirect
110. #2631C22semidirect
111. #2631C22semidirect
112. #2631C22semidirect
113. #2619C22semidirect
114. #2617C22semidirect
115. #2617C22semidirect
116. #2615C22semidirect
117. #2615C22semidirect
118. #2615C22semidirect
119. #2615C22semidirect
120. #2613C22semidirect
121. #2612C22semidirect
122. #2610C22semidirect
123. #2603C22semidirect
124. #2591C22semidirect
125. #2574C22semidirect
126. #2572C22semidirect
127. #2563C22semidirect
128. #2563C22semidirect
129. #2563C22semidirect
130. #2559C22semidirect
131. #2559C22semidirect
132. #2557C22semidirect
133. #2557C22semidirect
134. #2555C22semidirect
135. #2555C22semidirect
136. #2544C22semidirect
137. #2543C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2539C22semidirect
142. #2537C22semidirect
143. #2537C22semidirect
144. #2535C22semidirect
145. #2535C22semidirect
146. #2534C22semidirect
147. #2526C22semidirect
148. #2518C22semidirect
149. #2504C22semidirect
150. #2500C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2496C22semidirect
154. #2495C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2488C22semidirect
160. #2487C22semidirect
161. #2487C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2474C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2464C22semidirect
170. #2463C22semidirect
171. #2459C22semidirect
172. #2459C22semidirect
173. #2456C22semidirect
174. #2440C22semidirect
175. #2439C22semidirect
176. #2436C22semidirect
177. #2433C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2431C22semidirect
182. #2431C22semidirect
183. #2430C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
197. #2416C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2414C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2411C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
207. #2410C22semidirect
208. #2410C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2405C22semidirect
215. #2404C22semidirect
216. #2404C22semidirect
217. #2404C22semidirect
218. #2404C22semidirect
219. #2403C22semidirect
220. #2403C22semidirect
221. #2403C22semidirect
222. #2403C22semidirect
225. #2388C22semidirect
226. #2388C22semidirect
227. #2388C22semidirect
228. #2388C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2388C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
234. #2388C22semidirect
235. C2×#395C22semidirect
236. C2×#394C22semidirect
237. C2×#394C22semidirect
238. C2×#393C22semidirect
240. C2×#392C22semidirect
241. #2372C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2361C22semidirect
245. #2358C22semidirect
246. #2354C22semidirect
247. #2353C22semidirect
248. #2352C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2346C22semidirect
251. D4×C22⋊C4C22semidirect
252. D4×C22⋊C4C22semidirect
253. #2328C22semidirect
254. #2328C22semidirect
255. #2325C22semidirect
256. #2321C22semidirect
257. #2321C22semidirect
258. #2311C22semidirect
259. #2311C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. #2283C22semidirect
263. #2280C22semidirect
264. #2280C22semidirect
265. C2×C4×C22⋊C4C22semidirect
266. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#530552
#530152
#529572
#524102
#523952
#523252
#449142
#448872
#448702
#441482
#435752
#430982
#429632
#429232
#424472
#424202
#420912
#420572
#412342
#409122
#405122
#404902
#362032
#361602
#361232
D4×#1212
#352502
#352372
#350762
#350052
C2×#23882