Finite Group Databasebeta

← #8459261

Subgroups — #8459261

Order 512.

4934 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#57072C214yesmaximal, complemented
5#56301C214yesmaximal, complemented
6#55582C214yesmaximal, complemented
7#53043C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#48345C214yesmaximal, complemented
10#46340C212yesmaximal, complemented
11#46063C212yesmaximal, complemented
12#45365C212yesmaximal, complemented
13#45084C212yesmaximal, complemented
14#42680C212yesmaximal, complemented
15#42634C212yesmaximal, complemented
16#42571C212yesmaximal, complemented
17#42486C212yesmaximal, complemented
18#40021C212yesmaximal, complemented
19#39790C212yesmaximal, complemented
20#39746C211yesmaximal, characteristic, complemented
21#39740C212yesmaximal, complemented
22#39726C211yesmaximal, characteristic, complemented
23#39599C211yesmaximal, characteristic, complemented
24#39147C211yesmaximal, characteristic, complemented
25#38202C212yesmaximal, complemented
26#37619C211yesmaximal, characteristic, complemented
27#37365C212yesmaximal, complemented
28#37345C212yesmaximal, complemented
29#36481C211yesmaximal, characteristic, complemented
30#36271C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic
32#35285C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34803C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2212yescomplemented
39C2×#556C2212yescomplemented
40C2×#546C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45#2863C2212yescomplemented
46#2861C2212yescomplemented
47#2860C2212yescomplemented
48#2860C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2212yes—
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2842C2214yes—
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2827C2214yescomplemented
60#2816C2214yescomplemented
61#2816C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2801C2214yescomplemented
65#2800C2214yescomplemented
66#2780C2214yescomplemented
67#2779C2214yescomplemented
68#2757C2214yescomplemented
69#2757C2214yescomplemented
70#2757C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2748C2214yescomplemented
74#2737C2214yescomplemented
75#2736C2214yes—
76#2735C2214yes—
77#2735C2214yes—
78#2735C2214yes—
79#2735C2214yes—
80#2732C2214yescomplemented
81#2732C2214yescomplemented
82#2731C2214yescomplemented
83#2727C2214yescomplemented
84#2727C2214yescomplemented
85#2727C2214yescomplemented
86#2726C2214yescomplemented
87#2718C2214yescomplemented
88#2718C2214yescomplemented
89#2717C2214yescomplemented
90#2715C2214yescomplemented
91#2711C2214yescomplemented
92#2710C2214yescomplemented
93#2709C2214yes—
94#2707C2214yescomplemented
95#2705C2214yescomplemented
96#2704C2214yes—
97#2702C2214yescomplemented
98#2701C2214yescomplemented
99#2700C2214yescomplemented
100#2695C2214yescomplemented
101#2694C2214yescomplemented
102#2694C2214yescomplemented
103#2692C2214yescomplemented
104#2691C2214yescomplemented
105#2685C2214yes—
106#2685C2214yes—
107#2685C2214yes—
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2674C2214yescomplemented
111#2662C2214yescomplemented
112#2658C2212yescomplemented
113#2658C2212yescomplemented
114#2653C2214yescomplemented
115#2651C2214yescomplemented
116#2644C2212yescomplemented
117#2641C2214yes—
118#2640C2212yescomplemented
119#2633C2214yescomplemented
120#2629C2212yes—
121#2626C2214yes—
122#2626C2214yes—
123#2624C2214yescomplemented
124#2624C2212yescomplemented
125#2624C2212yescomplemented
126#2620C2212yescomplemented
127#2606C2214yescomplemented
128#2601C2214yescomplemented
129#2597C2214yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2584C2212yescomplemented
133#2582C2211yescharacteristic, complemented
134#2582C2212yescomplemented
135#2580C2212yescomplemented
136#2580C2212yescomplemented
137#2566C2212yescomplemented
138#2560C2214yescomplemented
139#2556C2212yes—
140#2556C2212yescomplemented
141#2554C2214yescomplemented
142#2552C2211yescharacteristic, complemented
143#2551C2211yescharacteristic, complemented
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2548C2212yes—
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2547C2212yescomplemented
153#2546C2211yescharacteristic, complemented
154#2546C2212yescomplemented
155#2546C2211yescharacteristic, complemented
156#2546C2211yescharacteristic, complemented
157#2545C2212yescomplemented
158#2545C2212yescomplemented
159#2545C2212yescomplemented
160#2545C2212yescomplemented
161#2544C2212yes—
162#2544C2212yes—
163#2544C2212yes—
164#2542C2211yescharacteristic
165#2542C2212yescomplemented
166#2538C2211yescharacteristic
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2533C2212yescomplemented
170#2527C2212yescomplemented
171#2523C2212yes—
172#2522C2214yes—
173#2514C2211yescharacteristic, complemented
174#2513C2212yescomplemented
175#2512C2212yescomplemented
176#2512C2212yescomplemented
177#2512C2212yescomplemented
178#2512C2212yescomplemented
179#2509C2211yescharacteristic, complemented
180#2507C2212yescomplemented
181#2506C2212yescomplemented
182#2499C2211yescharacteristic
183#2496C2211yescharacteristic, complemented
184#2492C2211yescharacteristic
185#2492C2211yescharacteristic, complemented
186#2492C2211yescharacteristic, complemented
187#2490C2212yescomplemented
188#2490C2212yescomplemented
189#2485C2211yescharacteristic
190#2482C2214yes—
191#2480C2214yes—
192#2480C2214yes—
193#2479C2214yescomplemented
194#2479C2214yescomplemented
195#2479C2214yescomplemented
196#2479C2214yescomplemented
197#2470C2214yescomplemented
198#2468C2214yescomplemented
199#2466C2212yes—
200#2460C2214yescomplemented
201#2454C2212yescomplemented
202#2454C2212yescomplemented
203#2454C2212yescomplemented
204#2454C2212yescomplemented
205#2452C2212yes—
206#2452C2212yescomplemented
207#2452C2212yescomplemented
208#2451C2212yescomplemented
209#2448C2212yescomplemented
210#2448C2212yescomplemented
211#2448C2212yescomplemented
212#2448C2212yescomplemented
213#2448C2212yescomplemented
214#2448C2212yescomplemented
215#2447C2212yescomplemented
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2441C2212yes—
221#2439C2211yescharacteristic
222#2437C2214yes—
223#2435C2212yes—
224#2435C2212yes—
225#2435C2212yes—
226#2435C2212yes—
227#2435C2212yes—
228#2435C2214yes—
229#2432C2212yescomplemented
230#2432C2212yescomplemented
231#2432C2212yescomplemented
232#2431C2212yes—
233#2429C2212yes—
234#2429C2211yescharacteristic
235#2429C2212yes—
236#2429C2212yes—
237#2429C2211yescharacteristic, complemented
238#2428C2212yes—
239#2428C2212yes—
240#2427C2212yescomplemented
241#2426C2212yescomplemented
242#2426C2212yescomplemented
243#2426C2212yescomplemented
244#2423C2212yes—
245#2422C2212yescomplemented
246#2422C2212yescomplemented
247#2415C2211yescharacteristic
248#2415C2214yescomplemented
249#2411C2214yes—
250#2408C2212yes—
251#2408C2212yes—
252#2405C2214yes—
253#2401C2212yes—
254#2398C2212yes—
255#2396C2212yes—
256#2396C2212yescomplemented
257#2376C2214yescomplemented
258#2370C2212yescomplemented
259#2367C2212yescomplemented
260#2367C2212yescomplemented
261#2366C2211yescharacteristic
262#2365C2211yescharacteristic, complemented
263#2354C2212yescomplemented
264Q8×C4⋊C4C2211yescharacteristic, complemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266#2347C2212yes—
267#2341C2212yescomplemented
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2337C2214yescomplemented
273#2326C2212yescomplemented
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2324C2212yescomplemented
277#2323C2212yes—
278#2319C2212yescomplemented
279#2309C2212yes—
280#2309C2212yes—
281C4×C4⋊Q8C2212yescomplemented
282C4×C4⋊Q8C2212yescomplemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#127C2211yescharacteristic
286C4×#126C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291#2295C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2293C2212yes—
294#2293C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—44no—
304#557—44no—
305#556—48no—
306#556—48no—
307#546—48no—
308#533—44no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127—44no—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#120C2314yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414#401C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#395C2314yes—
496#395C2312yes—
497#395C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#393C2312yes—
538#392C2314yes—
539#392C2314yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#383C2312yes—
742#383C2314yes—
743#383C2312yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#381C2312yes—
747#381C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—82no—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873#127—24no—
874#127—24no—
875#127—44no—
876#127—44no—
877#127—44no—
878#126—44no—
879#126—48no—
880#126—48no—
881#126—48no—
882#126—48no—
883#126—84no—
884#125—44no—
885#125—44no—
886#125—44no—
887#125—44no—
888#125—48no—
889#124—28no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—84no—
902#123—48no—
903#123—48no—
904#123—48no—
905#123—84no—
906C22⋊Q8—24no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—44no—
918C22⋊Q8—48no—
919C22⋊Q8—84no—
920C22⋊Q8—84no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—82no—
927#120—48no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—28no—
933C4×Q8—24no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—42no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—82no—
954#117—24no—
955#117—44no—
956#117—44no—
957#117—48no—
958#117—42no—
959#117—48no—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—84no—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—28no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24C2514yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—41no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—816no—
1269C2×D4—816no—
1270C2×D4—816no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—41no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—41no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—41no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C42−1+414yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—41no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—42no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42—41no—
1495C42—42no—
1496C42—44no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42H(5,𝔽2)14yes—
1501C42H(5,𝔽2)14yes—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—24no—
1510C23—21no—
1511C23—21no—
1512C23—24no—
1513C23—24no—
1514C23—21no—
1515C23—24no—
1516C23—24no—
1517C23—21no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—24no—
1522C23—21no—
1523C23—21no—
1524C23—24no—
1525C23—24no—
1526C23—24no—
1527C23—21no—
1528C23—24no—
1529C23—88no—
1530C23—88no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—164no—
1535C23—164no—
1536C23C2×2−1+412yes—
1537C23C2611yescharacteristic
1538Q8—44no—
1539Q8—44no—
1540Q8—44no—
1541Q8—48no—
1542Q8—44no—
1543Q8—84no—
1544Q8—84no—
1545Q8—84no—
1546D4—44no—
1547D4—48no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—48no—
1552D4—88no—
1553D4—84no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—164no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—28no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—82no—
1646C2×C4—88no—
1647C2×C4—88no—
1648C2×C4—88no—
1649C2×C4—164no—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4C2×2−1+412yes—
1658C2×C4#58512yes—
1659C2×C4#58512yes—
1660C2×C4#58512yes—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—44no—
1670C22—44no—
1671C22—41no—
1672C22—44no—
1673C22—44no—
1674C22—41no—
1675C22—44no—
1676C22—44no—
1677C22—41no—
1678C22—44no—
1679C22—44no—
1680C22—41no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—41no—
1686C22—41no—
1687C22—44no—
1688C22—44no—
1689C22—1616no—
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×2−1+411yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C22H(7,𝔽2)11yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—44no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4#354614yes—
1727C4#356114yes—
1728C2—42no—
1729C2—81no—
1730C2—84no—
1731C2—84no—
1732C2C2×#356111yescharacteristic
1733C2C2×#354611yescharacteristic
1734C2#6283511yescharacteristic
1735C2#6292411yescharacteristic
1736C2#6295511yescharacteristic
1737C2#6296211yescharacteristic
1738C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59821C2semidirect
2. #59143C2semidirect
3. #59078C2semidirect
4. #57072C2semidirect
5. #56301C2semidirect
6. #55582C2semidirect
7. #53043C2semidirect
8. #52964C2semidirect
9. #48345C2semidirect
10. #46340C2semidirect
11. #46063C2semidirect
12. #45365C2semidirect
13. #45084C2semidirect
14. #42680C2semidirect
15. #42634C2semidirect
16. #42571C2semidirect
17. #42486C2semidirect
18. #40021C2semidirect
19. #39790C2semidirect
20. #39746C2semidirect
21. #39740C2semidirect
22. #39726C2semidirect
23. #39599C2semidirect
24. #39147C2semidirect
25. #38202C2semidirect
26. #37619C2semidirect
27. #37365C2semidirect
28. #37345C2semidirect
29. #36481C2semidirect
30. #36271C2semidirect
32. #35285C2semidirect
33. #35186C2semidirect
34. #34929C2semidirect
35. #34803C2semidirect
37. C2×#557C22semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
42. C2×#533C22semidirect
45. #2863C22semidirect
46. #2861C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2827C22semidirect
60. #2816C22semidirect
61. #2816C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2801C22semidirect
65. #2800C22semidirect
66. #2780C22semidirect
67. #2779C22semidirect
68. #2757C22semidirect
69. #2757C22semidirect
70. #2757C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2748C22semidirect
74. #2737C22semidirect
80. #2732C22semidirect
81. #2732C22semidirect
82. #2731C22semidirect
83. #2727C22semidirect
84. #2727C22semidirect
85. #2727C22semidirect
86. #2726C22semidirect
87. #2718C22semidirect
88. #2718C22semidirect
89. #2717C22semidirect
90. #2715C22semidirect
91. #2711C22semidirect
92. #2710C22semidirect
94. #2707C22semidirect
95. #2705C22semidirect
97. #2702C22semidirect
98. #2701C22semidirect
99. #2700C22semidirect
100. #2695C22semidirect
101. #2694C22semidirect
102. #2694C22semidirect
103. #2692C22semidirect
104. #2691C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2674C22semidirect
111. #2662C22semidirect
112. #2658C22semidirect
113. #2658C22semidirect
114. #2653C22semidirect
115. #2651C22semidirect
116. #2644C22semidirect
118. #2640C22semidirect
119. #2633C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
125. #2624C22semidirect
126. #2620C22semidirect
127. #2606C22semidirect
128. #2601C22semidirect
129. #2597C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2584C22semidirect
133. #2582C22semidirect
134. #2582C22semidirect
135. #2580C22semidirect
136. #2580C22semidirect
137. #2566C22semidirect
138. #2560C22semidirect
140. #2556C22semidirect
141. #2554C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
152. #2547C22semidirect
153. #2546C22semidirect
154. #2546C22semidirect
155. #2546C22semidirect
156. #2546C22semidirect
157. #2545C22semidirect
158. #2545C22semidirect
159. #2545C22semidirect
160. #2545C22semidirect
165. #2542C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2533C22semidirect
170. #2527C22semidirect
173. #2514C22semidirect
174. #2513C22semidirect
175. #2512C22semidirect
176. #2512C22semidirect
177. #2512C22semidirect
178. #2512C22semidirect
179. #2509C22semidirect
180. #2507C22semidirect
181. #2506C22semidirect
183. #2496C22semidirect
185. #2492C22semidirect
186. #2492C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
193. #2479C22semidirect
194. #2479C22semidirect
195. #2479C22semidirect
196. #2479C22semidirect
197. #2470C22semidirect
198. #2468C22semidirect
200. #2460C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
206. #2452C22semidirect
207. #2452C22semidirect
208. #2451C22semidirect
209. #2448C22semidirect
210. #2448C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2448C22semidirect
214. #2448C22semidirect
215. #2447C22semidirect
229. #2432C22semidirect
230. #2432C22semidirect
231. #2432C22semidirect
237. #2429C22semidirect
240. #2427C22semidirect
241. #2426C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
245. #2422C22semidirect
246. #2422C22semidirect
248. #2415C22semidirect
256. #2396C22semidirect
257. #2376C22semidirect
258. #2370C22semidirect
259. #2367C22semidirect
260. #2367C22semidirect
262. #2365C22semidirect
263. #2354C22semidirect
264. Q8×C4⋊C4C22semidirect
265. Q8×C4⋊C4C22semidirect
267. #2341C22semidirect
272. #2337C22semidirect
273. #2326C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
276. #2324C22semidirect
278. #2319C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
284. C4×C4⋊Q8C22semidirect
286. C4×#126C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#591432
#590782
#570722
#563012
#555822
#530432
#529642
#483452
#463402
#460632
#453652
#450842
#426802
#426342
#425712
#424862
#400212
#397902
#397462
#397402
#397262
#395992
#391472
#382022
#376192
#373652
#373452
#364812
#362712
#361212
#352852
#351862
#349292
#348032