Finite Group Databasebeta

← #8461545

Subgroups — #8461545

Order 512.

4533 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59655C211yesmaximal, characteristic, complemented
2#59653C211yesmaximal, characteristic, complemented
3#59420C211yesmaximal, characteristic
4#58123C214yesmaximal, complemented
5#53586C214yesmaximal, complemented
6#53463C214yesmaximal, complemented
7#53138C212yesmaximal, complemented
8#53043C212yesmaximal, complemented
9#48156C214yesmaximal, complemented
10#46109C212yesmaximal, complemented
11#45714C212yesmaximal, complemented
12#45194C212yesmaximal, complemented
13#45171C212yesmaximal, complemented
14#42833C212yesmaximal, complemented
15#42729C212yesmaximal, complemented
16#42634C212yesmaximal, complemented
17#42486C212yesmaximal, complemented
18#39746C211yesmaximal, characteristic, complemented
19#39511C212yesmaximal, complemented
20#39172C211yesmaximal, characteristic, complemented
21#39168C211yesmaximal, characteristic, complemented
22#39070C212yesmaximal, complemented
23#39034C212yesmaximal, complemented
24#38957C211yesmaximal, characteristic
25#38054C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37435C212yesmaximal, complemented
28#37384C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic, complemented
30#36562C211yesmaximal, characteristic, complemented
31#36289C211yesmaximal, characteristic
32#35186C211yesmaximal, characteristic, complemented
33#35176C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic, complemented
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×D42C2211yescharacteristic
42#2862C2211yescharacteristic, complemented
43#2861C2212yescomplemented
44#2860C2212yescomplemented
45#2859C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2857C2212yescomplemented
49#2855C2212yescomplemented
50#2850C2212yes—
51#2842C2214yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2836C2214yescomplemented
56#2831C2214yescomplemented
57#2831C2214yescomplemented
58#2827C2214yescomplemented
59#2808C2214yescomplemented
60#2801C2214yescomplemented
61#2800C2214yescomplemented
62#2800C2214yescomplemented
63#2782C2214yescomplemented
64#2781C2214yescomplemented
65#2780C2214yescomplemented
66#2779C2214yescomplemented
67#2777C2214yescomplemented
68#2777C2214yescomplemented
69#2773C2214yescomplemented
70#2772C2214yescomplemented
71#2768C2214yescomplemented
72#2765C2214yescomplemented
73#2761C2214yescomplemented
74#2757C2214yescomplemented
75#2754C2214yescomplemented
76#2751C2214yescomplemented
77#2750C2214yescomplemented
78#2748C2214yescomplemented
79#2743C2214yescomplemented
80#2741C2214yescomplemented
81#2740C2214yescomplemented
82#2739C2214yescomplemented
83#2739C2214yescomplemented
84#2738C2214yescomplemented
85#2737C2214yescomplemented
86#2736C2214yescomplemented
87#2735C2214yescomplemented
88#2735C2214yescomplemented
89#2735C2214yescomplemented
90#2735C2214yescomplemented
91#2732C2214yescomplemented
92#2729C2214yescomplemented
93#2727C2214yescomplemented
94#2725C2214yescomplemented
95#2723C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2214yescomplemented
98#2702C2214yescomplemented
99#2697C2214yes—
100#2694C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2689C2214yescomplemented
104#2685C2214yes—
105#2685C2214yes—
106#2674C2214yescomplemented
107#2674C2214yescomplemented
108#2667C2214yescomplemented
109#2658C2212yescomplemented
110#2653C2214yescomplemented
111#2651C2214yescomplemented
112#2650C2214yescomplemented
113#2649C2214yescomplemented
114#2647C2212yescomplemented
115#2644C2212yes—
116#2640C2212yes—
117#2640C2212yescomplemented
118#2637C2214yescomplemented
119#2629C2212yescomplemented
120#2626C2214yescomplemented
121#2626C2214yescomplemented
122#2625C2212yescomplemented
123#2620C2212yes—
124#2596C2212yescomplemented
125#2595C2214yescomplemented
126#2594C2212yescomplemented
127#2592C2211yescharacteristic
128#2592C2212yescomplemented
129#2592C2212yescomplemented
130#2582C2211yescharacteristic, complemented
131#2581C2211yescharacteristic, complemented
132#2580C2212yescomplemented
133#2576C2214yescomplemented
134#2573C2212yescomplemented
135#2573C2212yescomplemented
136#2571C2211yescharacteristic, complemented
137#2570C2211yescharacteristic, complemented
138#2568C2212yescomplemented
139#2568C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2566C2212yes—
142#2565C2212yescomplemented
143#2563C2211yescharacteristic
144#2561C2214yescomplemented
145#2560C2214yescomplemented
146#2556C2214yescomplemented
147#2556C2214yescomplemented
148#2552C2211yescharacteristic, complemented
149#2550C2212yescomplemented
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2547C2211yescharacteristic
153#2547C2212yescomplemented
154#2546C2211yescharacteristic, complemented
155#2545C2212yes—
156#2545C2212yes—
157#2545C2211yescharacteristic
158#2545C2212yescomplemented
159#2545C2212yescomplemented
160#2542C2211yescharacteristic
161#2542C2212yescomplemented
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2211yescharacteristic
165#2534C2214yes—
166#2525C2212yescomplemented
167#2522C2214yescomplemented
168#2519C2214yescomplemented
169#2518C2214yescomplemented
170#2514C2211yescharacteristic, complemented
171#2514C2211yescharacteristic, complemented
172#2514C2211yescharacteristic, complemented
173#2513C2212yescomplemented
174#2513C2212yescomplemented
175#2512C2212yes—
176#2512C2211yescharacteristic
177#2512C2212yescomplemented
178#2508C2212yescomplemented
179#2507C2212yescomplemented
180#2504C2212yes—
181#2500C2212yes—
182#2496C2212yescomplemented
183#2494C2212yescomplemented
184#2494C2214yescomplemented
185#2492C2212yescomplemented
186#2490C2212yes—
187#2490C2212yes—
188#2489C2212yescomplemented
189#2489C2212yescomplemented
190#2483C2214yescomplemented
191#2480C2214yescomplemented
192#2480C2214yescomplemented
193#2480C2214yescomplemented
194#2480C2214yescomplemented
195#2472C2214yes—
196#2472C2214yes—
197#2469C2212yescomplemented
198#2468C2214yescomplemented
199#2454C2212yes—
200#2454C2212yescomplemented
201#2454C2212yescomplemented
202#2454C2212yescomplemented
203#2453C2212yescomplemented
204#2452C2212yes—
205#2452C2212yescomplemented
206#2452C2212yescomplemented
207#2448C2212yes—
208#2448C2211yescharacteristic
209#2448C2212yescomplemented
210#2448C2212yescomplemented
211#2448C2212yescomplemented
212#2448C2212yescomplemented
213#2448C2212yescomplemented
214#2448C2212yescomplemented
215#2448C2212yescomplemented
216#2447C2211yescharacteristic
217#2447C2211yescharacteristic
218#2447C2212yescomplemented
219#2447C2212yescomplemented
220#2447C2212yescomplemented
221#2446C2212yescomplemented
222#2446C2211yescharacteristic, complemented
223#2441C2212yescomplemented
224#2440C2212yescomplemented
225#2439C2212yescomplemented
226#2439C2212yescomplemented
227#2437C2214yescomplemented
228#2435C2212yes—
229#2435C2212yes—
230#2435C2212yes—
231#2435C2212yes—
232#2435C2212yes—
233#2435C2212yes—
234#2429C2212yescomplemented
235#2429C2212yescomplemented
236#2429C2214yescomplemented
237#2429C2212yescomplemented
238#2429C2212yescomplemented
239#2429C2212yescomplemented
240#2427C2212yes—
241#2427C2212yes—
242#2426C2212yes—
243#2426C2212yes—
244#2423C2212yescomplemented
245#2421C2212yescomplemented
246#2421C2212yescomplemented
247#2421C2212yescomplemented
248#2420C2212yes—
249#2420C2212yes—
250#2401C2212yescomplemented
251#2401C2212yescomplemented
252#2401C2212yescomplemented
253#2396C2212yescomplemented
254#2378C2214yescomplemented
255#2367C2212yes—
256#2367C2212yescomplemented
257#2367C2212yescomplemented
258#2362C2212yescomplemented
259#2360C2212yescomplemented
260#2360C2212yescomplemented
261#2360C2212yescomplemented
262#2357C2212yescomplemented
263#2351C2212yescomplemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268#2330C2212yescomplemented
269#2327C2212yescomplemented
270#2326C2212yescomplemented
271#2326C2212yescomplemented
272#2326C2212yescomplemented
273#2319C2212yes—
274#2319C2212yescomplemented
275#2312C2214yescomplemented
276#2309C2212yes—
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#126C2212yescomplemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289#2298C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292#2295C2211yescharacteristic, complemented
293#2293C2211yescharacteristic
294C2×#390C2212yes—
295#2283C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C23×D4C2312yes—
300C23×D4C2312yes—
301#559—44no—
302Q82—44no—
303#557—44no—
304#556—44no—
305#554—44no—
306D42—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#127C2311yescharacteristic
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#120C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C42C2312yes—
386#401C2312yes—
387#401C2312yes—
388#401C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#383C2312yes—
723#383C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2314yes—
733#382C2312yes—
734#382C2314yes—
735#381C2312yes—
736#381C2314yes—
737#381C2312yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2414yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—28no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854#127—24no—
855#126—44no—
856#126—48no—
857#126—84no—
858#126—84no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—24no—
864#124—24no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—42no—
869#124—42no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—82no—
876#123—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888#121—44no—
889#121—44no—
890#120—48no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—42no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—82no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—82no—
917#117—44no—
918#117—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C22⋊C4—48no—
991C2×C22⋊C4—84no—
992C2×C22⋊C4—84no—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C42—44no—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—28no—
1165C24—44no—
1166C24—44no—
1167C24—44no—
1168C24—44no—
1169C24—44no—
1170C24—44no—
1171C24C2512yes—
1172C24C2514yes—
1173C24C2512yes—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—28no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—816no—
1219C2×D4—816no—
1220C2×D42−1+414yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—42no—
1423C42—44no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—44no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—41no—
1433C42—44no—
1434C42—41no—
1435C42—42no—
1436C42—42no—
1437C42H(5,𝔽2)14yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—88no—
1459C23—88no—
1460C23—88no—
1461C23—88no—
1462C23—88no—
1463C23—164no—
1464C23—164no—
1465C23C2×2−1+414yes—
1466C23C2611yescharacteristic
1467Q8—44no—
1468Q8—44no—
1469Q8—44no—
1470Q8—44no—
1471Q8—44no—
1472Q8—48no—
1473Q8—84no—
1474Q8—164no—
1475D4—28no—
1476D4—48no—
1477D4—48no—
1478D4—44no—
1479D4—84no—
1480D4—88no—
1481D4—88no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—164no—
1575C2×C4—164no—
1576C2×C4—164no—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—1616no—
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×2−1+411yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—44no—
1643C4—41no—
1644C4#356114yes—
1645C4#356214yes—
1646C2—44no—
1647C2—84no—
1648C2—82no—
1649C2C2×#356111yescharacteristic
1650C2C2×#356211yescharacteristic
1651C2#6282711yescharacteristic
1652C2#6295111yescharacteristic
1653C2#6296111yescharacteristic
1654C2#6296911yescharacteristic
1655C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59655C2semidirect
2. #59653C2semidirect
4. #58123C2semidirect
5. #53586C2semidirect
6. #53463C2semidirect
7. #53138C2semidirect
8. #53043C2semidirect
9. #48156C2semidirect
10. #46109C2semidirect
11. #45714C2semidirect
12. #45194C2semidirect
13. #45171C2semidirect
14. #42833C2semidirect
15. #42729C2semidirect
16. #42634C2semidirect
17. #42486C2semidirect
18. #39746C2semidirect
19. #39511C2semidirect
20. #39172C2semidirect
21. #39168C2semidirect
22. #39070C2semidirect
23. #39034C2semidirect
25. #38054C2semidirect
26. #37637C2semidirect
27. #37435C2semidirect
28. #37384C2semidirect
29. #36609C2semidirect
30. #36562C2semidirect
32. #35186C2semidirect
33. #35176C2semidirect
34. #34945C2semidirect
35. #34902C2semidirect
37. C2×Q82C22semidirect
38. C2×#557C22semidirect
42. #2862C22semidirect
43. #2861C22semidirect
44. #2860C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
49. #2855C22semidirect
51. #2842C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
55. #2836C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2827C22semidirect
59. #2808C22semidirect
60. #2801C22semidirect
61. #2800C22semidirect
62. #2800C22semidirect
63. #2782C22semidirect
64. #2781C22semidirect
65. #2780C22semidirect
66. #2779C22semidirect
67. #2777C22semidirect
68. #2777C22semidirect
69. #2773C22semidirect
70. #2772C22semidirect
71. #2768C22semidirect
72. #2765C22semidirect
73. #2761C22semidirect
74. #2757C22semidirect
75. #2754C22semidirect
76. #2751C22semidirect
77. #2750C22semidirect
78. #2748C22semidirect
79. #2743C22semidirect
80. #2741C22semidirect
81. #2740C22semidirect
82. #2739C22semidirect
83. #2739C22semidirect
84. #2738C22semidirect
85. #2737C22semidirect
86. #2736C22semidirect
87. #2735C22semidirect
88. #2735C22semidirect
89. #2735C22semidirect
90. #2735C22semidirect
91. #2732C22semidirect
92. #2729C22semidirect
93. #2727C22semidirect
94. #2725C22semidirect
95. #2723C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2702C22semidirect
100. #2694C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2689C22semidirect
106. #2674C22semidirect
107. #2674C22semidirect
108. #2667C22semidirect
109. #2658C22semidirect
110. #2653C22semidirect
111. #2651C22semidirect
112. #2650C22semidirect
113. #2649C22semidirect
114. #2647C22semidirect
117. #2640C22semidirect
118. #2637C22semidirect
119. #2629C22semidirect
120. #2626C22semidirect
121. #2626C22semidirect
122. #2625C22semidirect
124. #2596C22semidirect
125. #2595C22semidirect
126. #2594C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2582C22semidirect
131. #2581C22semidirect
132. #2580C22semidirect
133. #2576C22semidirect
134. #2573C22semidirect
135. #2573C22semidirect
136. #2571C22semidirect
137. #2570C22semidirect
138. #2568C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
142. #2565C22semidirect
144. #2561C22semidirect
145. #2560C22semidirect
146. #2556C22semidirect
147. #2556C22semidirect
148. #2552C22semidirect
149. #2550C22semidirect
153. #2547C22semidirect
154. #2546C22semidirect
158. #2545C22semidirect
159. #2545C22semidirect
161. #2542C22semidirect
166. #2525C22semidirect
167. #2522C22semidirect
168. #2519C22semidirect
169. #2518C22semidirect
170. #2514C22semidirect
171. #2514C22semidirect
172. #2514C22semidirect
173. #2513C22semidirect
174. #2513C22semidirect
177. #2512C22semidirect
178. #2508C22semidirect
179. #2507C22semidirect
182. #2496C22semidirect
183. #2494C22semidirect
184. #2494C22semidirect
185. #2492C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
190. #2483C22semidirect
191. #2480C22semidirect
192. #2480C22semidirect
193. #2480C22semidirect
194. #2480C22semidirect
197. #2469C22semidirect
198. #2468C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
203. #2453C22semidirect
205. #2452C22semidirect
206. #2452C22semidirect
209. #2448C22semidirect
210. #2448C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2448C22semidirect
214. #2448C22semidirect
215. #2448C22semidirect
218. #2447C22semidirect
219. #2447C22semidirect
220. #2447C22semidirect
221. #2446C22semidirect
222. #2446C22semidirect
223. #2441C22semidirect
224. #2440C22semidirect
225. #2439C22semidirect
226. #2439C22semidirect
227. #2437C22semidirect
234. #2429C22semidirect
235. #2429C22semidirect
236. #2429C22semidirect
237. #2429C22semidirect
238. #2429C22semidirect
239. #2429C22semidirect
244. #2423C22semidirect
245. #2421C22semidirect
246. #2421C22semidirect
247. #2421C22semidirect
250. #2401C22semidirect
251. #2401C22semidirect
252. #2401C22semidirect
253. #2396C22semidirect
254. #2378C22semidirect
256. #2367C22semidirect
257. #2367C22semidirect
258. #2362C22semidirect
259. #2360C22semidirect
260. #2360C22semidirect
261. #2360C22semidirect
262. #2357C22semidirect
263. #2351C22semidirect
268. #2330C22semidirect
269. #2327C22semidirect
270. #2326C22semidirect
271. #2326C22semidirect
272. #2326C22semidirect
274. #2319C22semidirect
275. #2312C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#126C22semidirect
288. C4×C22⋊Q8C22semidirect
289. #2298C22semidirect
290. #2295C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596552
#596532
#594202
#581232
#535862
#534632
#531382
#530432
#481562
#461092
#457142
#451942
#451712
#428332
#427292
#426342
#424862
#397462
#395112
#391722
#391682
#390702
#390342
#389572
#380542
#376372
#374352
#373842
#366092
#365622
#362892
#351862
#351762
#349452
#349022