Finite Group Databasebeta

← #7732570

Subgroups — #7732570

Order 512.

5453 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49599C214yesmaximal, complemented
2#47889C214yesmaximal, complemented
3#47741C214yesmaximal, complemented
4#47708C214yesmaximal, complemented
5#45188C212yesmaximal, complemented
6#44903C212yesmaximal, complemented
7#44887C212yesmaximal, complemented
8#44871C212yesmaximal, complemented
9#39810C212yesmaximal, complemented
10#39735C211yesmaximal, characteristic, complemented
11#39552C212yesmaximal, complemented
12#39552C212yesmaximal, complemented
13#39500C212yesmaximal, complemented
14#39491C212yesmaximal, complemented
15#39351C211yesmaximal, characteristic, complemented
16#39275C212yesmaximal, complemented
17#39148C211yesmaximal, characteristic, complemented
18#38941C211yesmaximal, characteristic, complemented
19#38238C212yesmaximal, complemented
20#37772C212yesmaximal, complemented
21#37614C211yesmaximal, characteristic, complemented
22#37371C212yesmaximal, complemented
23#37334C212yesmaximal, complemented
24#36587C211yesmaximal, characteristic, complemented
25#36460C211yesmaximal, characteristic, complemented
26#36273C211yesmaximal, characteristic, complemented
27#36126C211yesmaximal, characteristic, complemented
28#35611C212yesmaximal, complemented
29#35524C212yesmaximal, complemented
30#35272C211yesmaximal, characteristic, complemented
31#35192C211yesmaximal, characteristic, complemented
32#34911C211yesmaximal, characteristic, complemented
33#34383C211yesmaximal, characteristic, complemented
34#34210C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#547C2212yescomplemented
38C2×#542C2212yescomplemented
39C2×#535C2212yes—
40C2×#532C2212yescomplemented
41C22×#127C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#518C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2864C2212yescomplemented
46#2862C2212yescomplemented
47#2860C2212yescomplemented
48#2858C2212yescomplemented
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2854C2212yescomplemented
54#2850C2212yescomplemented
55#2818C2214yes—
56#2808C2214yescomplemented
57#2808C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2800C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2786C2214yescomplemented
65#2753C2214yescomplemented
66#2752C2214yescomplemented
67#2751C2214yescomplemented
68#2749C2214yescomplemented
69#2737C2214yescomplemented
70#2736C2214yes—
71#2735C2214yes—
72#2733C2214yescomplemented
73#2733C2214yescomplemented
74#2730C2214yescomplemented
75#2723C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2712C2214yescomplemented
79#2710C2214yescomplemented
80#2710C2214yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2709C2214yescomplemented
84#2703C2214yescomplemented
85#2700C2214yescomplemented
86#2697C2214yes—
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2685C2214yes—
90#2684C2214yes—
91#2684C2214yes—
92#2678C2214yes—
93#2673C2214yescomplemented
94#2672C2214yescomplemented
95#2670C2214yes—
96#2665C2214yes—
97#2657C2212yes—
98#2644C2212yescomplemented
99#2641C2212yes—
100#2640C2212yescomplemented
101#2624C2212yescomplemented
102#2619C2212yes—
103#2619C2212yes—
104#2619C2212yes—
105#2619C2212yes—
106#2619C2212yescomplemented
107#2613C2214yes—
108#2610C2214yescomplemented
109#2605C2214yescomplemented
110#2604C2212yescomplemented
111#2603C2212yescomplemented
112#2602C2212yes—
113#2602C2212yes—
114#2602C2214yescomplemented
115#2602C2214yescomplemented
116#2600C2214yescomplemented
117#2600C2214yescomplemented
118#2597C2214yescomplemented
119#2592C2211yescharacteristic, complemented
120#2584C2211yescharacteristic, complemented
121#2571C2211yescharacteristic, complemented
122#2571C2211yescharacteristic, complemented
123#2563C2212yescomplemented
124#2562C2211yescharacteristic, complemented
125#2561C2214yes—
126#2560C2214yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2557C2214yescomplemented
130#2555C2214yescomplemented
131#2551C2211yescharacteristic, complemented
132#2551C2211yescharacteristic, complemented
133#2548C2211yescharacteristic
134#2548C2212yes—
135#2548C2212yes—
136#2548C2211yescharacteristic
137#2544C2214yescomplemented
138#2542C2212yescomplemented
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2212yes—
142#2541C2211yescharacteristic
143#2540C2211yescharacteristic, complemented
144#2535C2212yescomplemented
145#2535C2212yescomplemented
146#2534C2214yes—
147#2526C2214yescomplemented
148#2516C2214yescomplemented
149#2513C2212yescomplemented
150#2513C2212yescomplemented
151#2513C2212yescomplemented
152#2513C2212yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2504C2212yescomplemented
156#2504C2212yescomplemented
157#2500C2212yescomplemented
158#2500C2212yescomplemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2480C2214yes—
166#2474C2214yescomplemented
167#2472C2214yes—
168#2472C2214yes—
169#2467C2214yescomplemented
170#2466C2214yescomplemented
171#2466C2214yescomplemented
172#2461C2214yescomplemented
173#2459C2214yescomplemented
174#2459C2214yescomplemented
175#2459C2214yescomplemented
176#2459C2214yescomplemented
177#2456C2214yescomplemented
178#2456C2214yescomplemented
179#2452C2212yescomplemented
180#2452C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2445C2212yescomplemented
184#2445C2212yescomplemented
185#2444C2214yescomplemented
186#2439C2212yes—
187#2439C2212yes—
188#2439C2212yes—
189#2439C2212yes—
190#2435C2212yes—
191#2433C2212yes—
192#2431C2214yescomplemented
193#2430C2214yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2424C2214yes—
199#2422C2212yescomplemented
200#2422C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2415C2211yescharacteristic
208#2415C2211yescharacteristic
209#2415C2214yescomplemented
210#2415C2214yescomplemented
211#2414C2211yescharacteristic
212#2414C2211yescharacteristic
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yes—
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2407C2214yescomplemented
223#2407C2214yescomplemented
224#2404C2214yes—
225#2395C2212yes—
226#2388C2212yes—
227#2376C2214yes—
228#2370C2212yescomplemented
229#2367C2212yescomplemented
230#2366C2211yescharacteristic
231#2366C2211yescharacteristic
232#2366C2212yes—
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2212yescomplemented
239#2361C2212yescomplemented
240#2357C2212yescomplemented
241#2357C2212yescomplemented
242#2355C2211yescharacteristic, complemented
243#2354C2212yes—
244#2354C2211yescharacteristic, complemented
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic, complemented
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C22⋊C4C2214yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251#2334C2214yescomplemented
252#2331C2212yescomplemented
253#2331C2212yescomplemented
254#2328C2214yes—
255#2328C2212yescomplemented
256#2324C2212yes—
257#2324C2212yescomplemented
258#2323C2212yes—
259#2320C2212yescomplemented
260#2319C2212yes—
261#2319C2212yescomplemented
262#2318C2212yes—
263#2318C2212yescomplemented
264#2317C2211yescharacteristic, complemented
265#2317C2211yescharacteristic, complemented
266#2317C2212yescomplemented
267#2314C2211yescharacteristic
268#2314C2211yescharacteristic
269#2314C2211yescharacteristic, complemented
270#2314C2211yescharacteristic, complemented
271#2314C2212yescomplemented
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2309C2212yes—
275#2309C2212yes—
276C4×#127C2212yes—
277C4×#127C2212yes—
278C4×#124C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284#2295C2212yescomplemented
285#2293C2212yes—
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289#2290C2212yes—
290#2290C2212yescomplemented
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic, complemented
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—48no—
305#547—48no—
306#542—48no—
307#535—48no—
308#532—48no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127—28no—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322#529—28no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374#518—48no—
375C4×#41—28no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#398C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2314yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#383C2312yes—
727#383C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—48no—
824C2×#41—48no—
825C2×#41—84no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×Q8C2414yes—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—82no—
838C22×D4—82no—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—28no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—28no—
887#127—28no—
888#127—28no—
889#127—44no—
890#127—44no—
891#127—48no—
892#126—28no—
893#126—48no—
894#126—84no—
895#125—24no—
896#124—24no—
897#124—48no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—48no—
902#124—48no—
903#124—48no—
904#124—84no—
905#124—84no—
906#123—28no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—84no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—48no—
914C22⋊Q8—42no—
915C22⋊Q8—48no—
916C22⋊Q8—84no—
917#121—24no—
918#121—28no—
919#121—28no—
920#121—24no—
921#121—48no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—82no—
936#121—82no—
937#121—82no—
938#121—82no—
939#120—48no—
940#120—48no—
941#120—84no—
942#120—84no—
943C4×Q8—24no—
944C4×Q8—24no—
945C4×Q8—24no—
946C4×Q8—44no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—48no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—84no—
970C4×D4—84no—
971C4×D4—84no—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—28no—
978#117—44no—
979#117—44no—
980#117—48no—
981#117—42no—
982#117—42no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42#4118yescomplemented
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24C2514yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223C24C2511yescharacteristic
1224#41—416no—
1225#41—832no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—28no—
1231C2×Q8—22no—
1232C2×Q8—41no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—42no—
1277C2×D4—432no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—816no—
1312C2×D4—816no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—28no—
1335C22×C4—28no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4C2×#4114yes—
1361C22×C4C2×#4114yes—
1362C22×C4C2×#4114yes—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4H(5,𝔽2)14yes—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—44no—
1543C42—44no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—42no—
1549C42—42no—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C42C2×#4114yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—24no—
1569C23—24no—
1570C23—21no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—21no—
1578C23—24no—
1579C23—21no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—24no—
1589C23—24no—
1590C23—24no—
1591C23—24no—
1592C23—21no—
1593C23—22no—
1594C23—416no—
1595C23—88no—
1596C23—88no—
1597C23—164no—
1598C23—164no—
1599C23—164no—
1600C23—164no—
1601C23C22×#4112yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2611yescharacteristic
1604Q8—44no—
1605Q8—44no—
1606Q8—88no—
1607Q8—164no—
1608D4—44no—
1609D4—44no—
1610D4—48no—
1611D4—416no—
1612D4—416no—
1613D4—44no—
1614D4—48no—
1615D4—48no—
1616D4—44no—
1617D4—48no—
1618D4—48no—
1619D4—88no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—88no—
1624D4—88no—
1625D4—88no—
1626D4—84no—
1627D4—88no—
1628D4—164no—
1629D4—164no—
1630D4—164no—
1631D4—164no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—28no—
1645C2×C4—28no—
1646C2×C4—28no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—44no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—82no—
1717C2×C4—82no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—164no—
1723C2×C4—164no—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)14yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—44no—
1752C22—44no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—41no—
1759C22—44no—
1760C22—44no—
1761C22—42no—
1762C22—42no—
1763C22—44no—
1764C22—44no—
1765C22—41no—
1766C22—44no—
1767C22—44no—
1768C22—42no—
1769C22—41no—
1770C22—44no—
1771C22—41no—
1772C22—42no—
1773C22—44no—
1774C22—41no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—1616no—
1779C22C23×#4111yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—24no—
1792C4—41no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—44no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4#349414yes—
1814C4#350614yes—
1815C2—42no—
1816C2—42no—
1817C2—81no—
1818C2—82no—
1819C2—84no—
1820C2—84no—
1821C2C2×#350611yescharacteristic
1822C2C2×#349411yescharacteristic
1823C2#6285511yescharacteristic
1824C2#6291211yescharacteristic
1825C2#6292311yescharacteristic
1826C2#6296111yescharacteristic
1827C2#6296611yescharacteristic
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. #49599C2semidirect
2. #47889C2semidirect
3. #47741C2semidirect
4. #47708C2semidirect
5. #45188C2semidirect
6. #44903C2semidirect
7. #44887C2semidirect
8. #44871C2semidirect
9. #39810C2semidirect
10. #39735C2semidirect
11. #39552C2semidirect
12. #39552C2semidirect
13. #39500C2semidirect
14. #39491C2semidirect
15. #39351C2semidirect
16. #39275C2semidirect
17. #39148C2semidirect
18. #38941C2semidirect
19. #38238C2semidirect
20. #37772C2semidirect
21. #37614C2semidirect
22. #37371C2semidirect
23. #37334C2semidirect
24. #36587C2semidirect
25. #36460C2semidirect
26. #36273C2semidirect
27. #36126C2semidirect
28. #35611C2semidirect
29. #35524C2semidirect
30. #35272C2semidirect
31. #35192C2semidirect
32. #34911C2semidirect
33. #34383C2semidirect
34. #34210C2semidirect
35. #34060C2semidirect
36. C2×#555C22semidirect
37. C2×#547C22semidirect
38. C2×#542C22semidirect
40. C2×#532C22semidirect
45. #2864C22semidirect
46. #2862C22semidirect
47. #2860C22semidirect
48. #2858C22semidirect
53. #2854C22semidirect
54. #2850C22semidirect
56. #2808C22semidirect
57. #2808C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2800C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2786C22semidirect
65. #2753C22semidirect
66. #2752C22semidirect
67. #2751C22semidirect
68. #2749C22semidirect
69. #2737C22semidirect
72. #2733C22semidirect
73. #2733C22semidirect
74. #2730C22semidirect
75. #2723C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2712C22semidirect
79. #2710C22semidirect
80. #2710C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2709C22semidirect
84. #2703C22semidirect
85. #2700C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
93. #2673C22semidirect
94. #2672C22semidirect
98. #2644C22semidirect
100. #2640C22semidirect
101. #2624C22semidirect
106. #2619C22semidirect
108. #2610C22semidirect
109. #2605C22semidirect
110. #2604C22semidirect
111. #2603C22semidirect
114. #2602C22semidirect
115. #2602C22semidirect
116. #2600C22semidirect
117. #2600C22semidirect
118. #2597C22semidirect
119. #2592C22semidirect
120. #2584C22semidirect
121. #2571C22semidirect
122. #2571C22semidirect
123. #2563C22semidirect
124. #2562C22semidirect
126. #2560C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2557C22semidirect
130. #2555C22semidirect
131. #2551C22semidirect
132. #2551C22semidirect
137. #2544C22semidirect
138. #2542C22semidirect
143. #2540C22semidirect
144. #2535C22semidirect
145. #2535C22semidirect
147. #2526C22semidirect
148. #2516C22semidirect
149. #2513C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2504C22semidirect
156. #2504C22semidirect
157. #2500C22semidirect
158. #2500C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
166. #2474C22semidirect
169. #2467C22semidirect
170. #2466C22semidirect
171. #2466C22semidirect
172. #2461C22semidirect
173. #2459C22semidirect
174. #2459C22semidirect
175. #2459C22semidirect
176. #2459C22semidirect
177. #2456C22semidirect
178. #2456C22semidirect
179. #2452C22semidirect
180. #2452C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2444C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
228. #2370C22semidirect
229. #2367C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2357C22semidirect
241. #2357C22semidirect
242. #2355C22semidirect
244. #2354C22semidirect
246. Q8×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
251. #2334C22semidirect
252. #2331C22semidirect
253. #2331C22semidirect
255. #2328C22semidirect
257. #2324C22semidirect
259. #2320C22semidirect
261. #2319C22semidirect
263. #2318C22semidirect
264. #2317C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
269. #2314C22semidirect
270. #2314C22semidirect
271. #2314C22semidirect
278. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2295C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
290. #2290C22semidirect
293. #2285C22semidirect
295. #2283C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1123. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#495992
#478892
#477412
#477082
#451882
#449032
#448872
#448712
#398102
#397352
#395522
#395002
#394912
#393512
#392752
#391482
#389412
#382382
#377722
#376142
#373712
#373342
#365872
#364602
#362732
#361262
#356112
#355242
#352722
#351922
#349112
#343832
#342102
#340602