Finite Group Databasebeta

← #8459265

Subgroups — #8459265

Order 512.

5040 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#57903C214yesmaximal, complemented
5#57139C214yesmaximal, complemented
6#55309C214yesmaximal, complemented
7#53110C212yesmaximal, complemented
8#52977C212yesmaximal, complemented
9#48377C214yesmaximal, complemented
10#46084C212yesmaximal, complemented
11#46014C212yesmaximal, complemented
12#45171C212yesmaximal, complemented
13#45023C212yesmaximal, complemented
14#42673C212yesmaximal, complemented
15#42563C212yesmaximal, complemented
16#42544C212yesmaximal, complemented
17#42520C212yesmaximal, complemented
18#40026C212yesmaximal, complemented
19#39736C211yesmaximal, characteristic, complemented
20#39724C211yesmaximal, characteristic, complemented
21#39218C212yesmaximal, complemented
22#39174C211yesmaximal, characteristic, complemented
23#38947C212yesmaximal, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38286C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37365C212yesmaximal, complemented
28#37329C212yesmaximal, complemented
29#36591C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35285C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×#127C2211yescharacteristic
44C2×#529C2211yescharacteristic, complemented
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2860C2212yescomplemented
48#2859C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2212yes—
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2827C2214yescomplemented
57#2826C2214yescomplemented
58#2826C2214yescomplemented
59#2820C2214yescomplemented
60#2813C2214yescomplemented
61#2812C2214yes—
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2803C2214yescomplemented
65#2800C2214yescomplemented
66#2797C2214yescomplemented
67#2782C2214yescomplemented
68#2781C2214yescomplemented
69#2780C2214yescomplemented
70#2778C2214yescomplemented
71#2761C2214yescomplemented
72#2761C2214yescomplemented
73#2753C2214yescomplemented
74#2753C2214yescomplemented
75#2753C2214yescomplemented
76#2753C2214yescomplemented
77#2750C2214yescomplemented
78#2743C2214yescomplemented
79#2735C2214yes—
80#2735C2214yes—
81#2733C2214yescomplemented
82#2727C2214yescomplemented
83#2724C2214yescomplemented
84#2719C2214yescomplemented
85#2715C2214yescomplemented
86#2715C2214yescomplemented
87#2714C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2711C2214yescomplemented
92#2711C2214yescomplemented
93#2707C2214yescomplemented
94#2707C2214yescomplemented
95#2707C2214yescomplemented
96#2701C2214yescomplemented
97#2701C2214yescomplemented
98#2699C2214yescomplemented
99#2697C2214yes—
100#2697C2214yes—
101#2691C2214yescomplemented
102#2691C2214yescomplemented
103#2690C2214yes—
104#2686C2214yescomplemented
105#2685C2214yes—
106#2685C2214yes—
107#2685C2214yes—
108#2678C2214yes—
109#2673C2214yes—
110#2671C2214yescomplemented
111#2651C2214yescomplemented
112#2648C2214yescomplemented
113#2648C2214yescomplemented
114#2641C2214yes—
115#2641C2212yescomplemented
116#2636C2214yescomplemented
117#2636C2214yescomplemented
118#2624C2212yescomplemented
119#2622C2214yes—
120#2622C2214yes—
121#2621C2212yes—
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2619C2212yescomplemented
127#2611C2214yescomplemented
128#2600C2214yescomplemented
129#2595C2214yescomplemented
130#2582C2211yescharacteristic, complemented
131#2581C2212yescomplemented
132#2576C2214yescomplemented
133#2568C2212yescomplemented
134#2568C2211yescharacteristic, complemented
135#2566C2212yescomplemented
136#2566C2212yescomplemented
137#2566C2212yescomplemented
138#2560C2212yes—
139#2558C2212yescomplemented
140#2555C2214yescomplemented
141#2553C2214yes—
142#2552C2211yescharacteristic, complemented
143#2550C2212yescomplemented
144#2550C2211yescharacteristic, complemented
145#2548C2212yes—
146#2548C2211yescharacteristic
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2548C2212yescomplemented
153#2545C2212yescomplemented
154#2545C2211yescharacteristic, complemented
155#2544C2212yes—
156#2544C2212yescomplemented
157#2544C2212yescomplemented
158#2544C2212yescomplemented
159#2542C2211yescharacteristic, complemented
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2540C2211yescharacteristic
163#2536C2211yescharacteristic
164#2530C2212yescomplemented
165#2528C2212yescomplemented
166#2519C2212yescomplemented
167#2517C2212yes—
168#2516C2214yescomplemented
169#2513C2212yescomplemented
170#2513C2212yescomplemented
171#2512C2212yescomplemented
172#2512C2212yescomplemented
173#2512C2212yescomplemented
174#2511C2211yescharacteristic, complemented
175#2506C2211yescharacteristic, complemented
176#2504C2212yescomplemented
177#2499C2211yescharacteristic
178#2496C2212yes—
179#2494C2211yescharacteristic, complemented
180#2491C2211yescharacteristic, complemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2489C2212yes—
185#2489C2211yescharacteristic
186#2489C2211yescharacteristic, complemented
187#2489C2212yescomplemented
188#2485C2211yescharacteristic
189#2483C2214yes—
190#2480C2214yes—
191#2480C2214yes—
192#2480C2214yes—
193#2476C2214yescomplemented
194#2476C2214yescomplemented
195#2471C2214yescomplemented
196#2468C2214yescomplemented
197#2461C2212yes—
198#2460C2212yes—
199#2460C2214yescomplemented
200#2459C2214yescomplemented
201#2454C2212yescomplemented
202#2454C2212yescomplemented
203#2454C2212yescomplemented
204#2448C2212yescomplemented
205#2448C2212yescomplemented
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2447C2212yescomplemented
209#2447C2212yescomplemented
210#2447C2212yescomplemented
211#2447C2212yescomplemented
212#2446C2212yescomplemented
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2441C2211yescharacteristic
217#2435C2214yes—
218#2435C2212yes—
219#2435C2212yes—
220#2435C2212yes—
221#2433C2212yes—
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2432C2212yescomplemented
225#2431C2212yes—
226#2431C2212yes—
227#2429C2211yescharacteristic, complemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yescomplemented
232#2427C2212yescomplemented
233#2426C2211yescharacteristic
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2422C2212yes—
238#2421C2212yes—
239#2420C2212yescomplemented
240#2420C2212yescomplemented
241#2418C2214yes—
242#2416C2212yescomplemented
243#2415C2212yes—
244#2415C2211yescharacteristic
245#2414C2214yescomplemented
246#2410C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2401C2212yes—
254#2396C2212yescomplemented
255#2395C2212yes—
256#2392C2212yes—
257#2379C2214yescomplemented
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2366C2211yescharacteristic
261#2366C2212yescomplemented
262#2365C2211yescharacteristic, complemented
263#2361C2212yescomplemented
264#2360C2212yescomplemented
265#2357C2212yescomplemented
266#2355C2211yescharacteristic, complemented
267D4×C4⋊C4C2211yescharacteristic, complemented
268#2341C2212yescomplemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2333C2214yescomplemented
273#2326C2212yescomplemented
274#2326C2212yescomplemented
275#2324C2212yescomplemented
276#2323C2212yes—
277#2319C2212yescomplemented
278#2311C2212yescomplemented
279#2309C2212yes—
280#2309C2212yes—
281C4×#127C2211yescharacteristic
282C4×#125C2212yescomplemented
283C4×#125C2211yescharacteristic, complemented
284C4×#124C2212yescomplemented
285C4×#124C2211yescharacteristic, complemented
286C4×#124C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291#2298C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2293C2212yes—
294#2293C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#557—44no—
305#552—48no—
306#550—44no—
307#546—48no—
308#546—48no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127—44no—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#125C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2311yescharacteristic
348C2×#124C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417#401C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#395C2312yes—
487#395C2314yes—
488#394C2312yes—
489#394C2314yes—
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#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#385C2314yes—
714#385C2314yes—
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#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2311yescharacteristic
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2314yes—
745#382C2312yes—
746#382C2312yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
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×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C4⋊Q8—24no—
872C4⋊Q8—42no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875#127—24no—
876#127—24no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—44no—
881#127—44no—
882#126—44no—
883#126—48no—
884#126—84no—
885#126—84no—
886#125—42no—
887#125—44no—
888#125—42no—
889#125—44no—
890#125—48no—
891#125—44no—
892#125—44no—
893#125—48no—
894#124—44no—
895#124—44no—
896#124—42no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—42no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—84no—
907#123—48no—
908#123—44no—
909#123—48no—
910#123—48no—
911C22⋊Q8—24no—
912C22⋊Q8—28no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918C22⋊Q8—42no—
919C22⋊Q8—42no—
920C22⋊Q8—44no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—42no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—82no—
936#120—48no—
937#120—48no—
938#120—84no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—44no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—82no—
963C4×D4—84no—
964#117—24no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—48no—
969#117—42no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—48no—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—28no—
1202C24—44no—
1203C24—44no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24C2514yes—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213#41—816no—
1214#41—816no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
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—44no—
1286C2×D4—44no—
1287C2×D4—816no—
1288C2×D4—816no—
1289C2×D4—816no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—41no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—28no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—41no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—41no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—22no—
1510C42—42no—
1511C42—44no—
1512C42—41no—
1513C42—41no—
1514C42—44no—
1515C42—42no—
1516C42—42no—
1517C42—44no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42H(5,𝔽2)14yes—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—24no—
1532C23—24no—
1533C23—21no—
1534C23—24no—
1535C23—24no—
1536C23—21no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—24no—
1548C23—24no—
1549C23—22no—
1550C23—24no—
1551C23—24no—
1552C23—24no—
1553C23—24no—
1554C23—21no—
1555C23—22no—
1556C23—88no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—88no—
1561C23—164no—
1562C23—164no—
1563C23C2×H(5,𝔽2)12yes—
1564C23C2611yescharacteristic
1565Q8—44no—
1566Q8—44no—
1567Q8—48no—
1568Q8—44no—
1569Q8—84no—
1570D4—48no—
1571D4—44no—
1572D4—44no—
1573D4—48no—
1574D4—48no—
1575D4—48no—
1576D4—48no—
1577D4—88no—
1578D4—84no—
1579D4—88no—
1580D4—84no—
1581D4—84no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—164no—
1587D4—164no—
1588D4—164no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—28no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—44no—
1676C2×C4—82no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—164no—
1681C2×C4—164no—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C2×C4#58512yes—
1690C2×C4#58512yes—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—41no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—44no—
1709C22—44no—
1710C22—44no—
1711C22—41no—
1712C22—42no—
1713C22—44no—
1714C22—41no—
1715C22—44no—
1716C22—44no—
1717C22—42no—
1718C22—42no—
1719C22—44no—
1720C22—41no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—41no—
1725C22—44no—
1726C22—1616no—
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22H(7,𝔽2)11yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—41no—
1758C4—42no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4#355114yes—
1763C4#355814yes—
1764C2—42no—
1765C2—81no—
1766C2—82no—
1767C2—84no—
1768C2—84no—
1769C2C2×#355811yescharacteristic
1770C2C2×#355111yescharacteristic
1771C2#6283611yescharacteristic
1772C2#6292411yescharacteristic
1773C2#6295511yescharacteristic
1774C2#6296911yescharacteristic
1775C2#6303611yescharacteristic
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. #59647C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #57903C2semidirect
5. #57139C2semidirect
6. #55309C2semidirect
7. #53110C2semidirect
8. #52977C2semidirect
9. #48377C2semidirect
10. #46084C2semidirect
11. #46014C2semidirect
12. #45171C2semidirect
13. #45023C2semidirect
14. #42673C2semidirect
15. #42563C2semidirect
16. #42544C2semidirect
17. #42520C2semidirect
18. #40026C2semidirect
19. #39736C2semidirect
20. #39724C2semidirect
21. #39218C2semidirect
22. #39174C2semidirect
23. #38947C2semidirect
24. #38909C2semidirect
25. #38286C2semidirect
26. #37616C2semidirect
27. #37365C2semidirect
28. #37329C2semidirect
29. #36591C2semidirect
30. #36272C2semidirect
31. #36121C2semidirect
32. #35285C2semidirect
33. #35186C2semidirect
34. #34919C2semidirect
35. #34793C2semidirect
36. C2×#557C22semidirect
44. C2×#529C22semidirect
45. #2861C22semidirect
46. #2861C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2827C22semidirect
57. #2826C22semidirect
58. #2826C22semidirect
59. #2820C22semidirect
60. #2813C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2803C22semidirect
65. #2800C22semidirect
66. #2797C22semidirect
67. #2782C22semidirect
68. #2781C22semidirect
69. #2780C22semidirect
70. #2778C22semidirect
71. #2761C22semidirect
72. #2761C22semidirect
73. #2753C22semidirect
74. #2753C22semidirect
75. #2753C22semidirect
76. #2753C22semidirect
77. #2750C22semidirect
78. #2743C22semidirect
81. #2733C22semidirect
82. #2727C22semidirect
83. #2724C22semidirect
84. #2719C22semidirect
85. #2715C22semidirect
86. #2715C22semidirect
87. #2714C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2711C22semidirect
92. #2711C22semidirect
93. #2707C22semidirect
94. #2707C22semidirect
95. #2707C22semidirect
96. #2701C22semidirect
97. #2701C22semidirect
98. #2699C22semidirect
101. #2691C22semidirect
102. #2691C22semidirect
104. #2686C22semidirect
110. #2671C22semidirect
111. #2651C22semidirect
112. #2648C22semidirect
113. #2648C22semidirect
115. #2641C22semidirect
116. #2636C22semidirect
117. #2636C22semidirect
118. #2624C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2611C22semidirect
128. #2600C22semidirect
129. #2595C22semidirect
130. #2582C22semidirect
131. #2581C22semidirect
132. #2576C22semidirect
133. #2568C22semidirect
134. #2568C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2566C22semidirect
139. #2558C22semidirect
140. #2555C22semidirect
142. #2552C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
152. #2548C22semidirect
153. #2545C22semidirect
154. #2545C22semidirect
156. #2544C22semidirect
157. #2544C22semidirect
158. #2544C22semidirect
159. #2542C22semidirect
164. #2530C22semidirect
165. #2528C22semidirect
166. #2519C22semidirect
168. #2516C22semidirect
169. #2513C22semidirect
170. #2513C22semidirect
171. #2512C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
174. #2511C22semidirect
175. #2506C22semidirect
176. #2504C22semidirect
179. #2494C22semidirect
180. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
193. #2476C22semidirect
194. #2476C22semidirect
195. #2471C22semidirect
196. #2468C22semidirect
199. #2460C22semidirect
200. #2459C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
203. #2454C22semidirect
204. #2448C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2447C22semidirect
209. #2447C22semidirect
210. #2447C22semidirect
211. #2447C22semidirect
212. #2446C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
224. #2432C22semidirect
227. #2429C22semidirect
231. #2428C22semidirect
232. #2427C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
239. #2420C22semidirect
240. #2420C22semidirect
242. #2416C22semidirect
245. #2414C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
254. #2396C22semidirect
257. #2379C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
261. #2366C22semidirect
262. #2365C22semidirect
263. #2361C22semidirect
264. #2360C22semidirect
265. #2357C22semidirect
266. #2355C22semidirect
267. D4×C4⋊C4C22semidirect
268. #2341C22semidirect
272. #2333C22semidirect
273. #2326C22semidirect
274. #2326C22semidirect
275. #2324C22semidirect
277. #2319C22semidirect
278. #2311C22semidirect
282. C4×#125C22semidirect
283. C4×#125C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
291. #2298C22semidirect
292. #2295C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
296. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#591242
#590782
#579032
#571392
#553092
#531102
#529772
#483772
#460842
#460142
#451712
#450232
#426732
#425632
#425442
#425202
#400262
#397362
#397242
#392182
#391742
#389472
#389092
#382862
#376162
#373652
#373292
#365912
#362722
#361212
#352852
#351862
#349192
#347932