Finite Group Databasebeta

← #7880532

Subgroups — #7880532

Order 512.

5381 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59382C212yesmaximal, complemented
3#59303C211yesmaximal, characteristic, complemented
4#59272C212yesmaximal, complemented
5#59227C211yesmaximal, characteristic, complemented
6#50800C214yesmaximal, complemented
7#49646C214yesmaximal, complemented
8#46767C214yesmaximal, complemented
9#45160C212yesmaximal, complemented
10#45105C212yesmaximal, complemented
11#45002C212yesmaximal, complemented
12#44959C212yesmaximal, complemented
13#43471C214yesmaximal, complemented
14#42982C212yesmaximal, complemented
15#42594C212yesmaximal, complemented
16#39938C212yesmaximal, complemented
17#39498C211yesmaximal, characteristic, complemented
18#39352C211yesmaximal, characteristic, complemented
19#39342C211yesmaximal, characteristic, complemented
20#39237C212yesmaximal, complemented
21#39193C211yesmaximal, characteristic, complemented
22#38902C212yesmaximal, complemented
23#37969C212yesmaximal, complemented
24#36587C211yesmaximal, characteristic, complemented
25#36258C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36083C212yesmaximal, complemented
28#35800C212yesmaximal, complemented
29#35567C212yesmaximal, complemented
30#35531C212yesmaximal, complemented
31#34763C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34188C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39C2×#540C2212yescomplemented
40C2×#535C2212yes—
41C2×#532C2211yescharacteristic
42C2×#529C2212yescomplemented
43C2×#520C2212yescomplemented
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2850C2212yescomplemented
50#2830C2214yescomplemented
51#2807C2214yescomplemented
52#2803C2214yescomplemented
53#2800C2214yescomplemented
54#2795C2214yescomplemented
55#2788C2214yescomplemented
56#2781C2214yescomplemented
57#2779C2214yescomplemented
58#2763C2214yescomplemented
59#2761C2214yescomplemented
60#2757C2214yescomplemented
61#2753C2214yescomplemented
62#2753C2214yescomplemented
63#2753C2214yescomplemented
64#2743C2214yescomplemented
65#2739C2214yescomplemented
66#2735C2214yescomplemented
67#2715C2214yescomplemented
68#2709C2214yescomplemented
69#2706C2214yescomplemented
70#2706C2214yescomplemented
71#2706C2214yescomplemented
72#2696C2214yescomplemented
73#2694C2214yescomplemented
74#2693C2214yescomplemented
75#2688C2214yescomplemented
76#2685C2214yescomplemented
77#2684C2214yescomplemented
78#2684C2214yescomplemented
79#2671C2214yescomplemented
80#2670C2214yes—
81#2669C2214yes—
82#2668C2214yescomplemented
83#2668C2214yescomplemented
84#2654C2214yescomplemented
85#2648C2214yescomplemented
86#2648C2214yescomplemented
87#2637C2214yescomplemented
88#2628C2212yescomplemented
89#2625C2212yescomplemented
90#2624C2212yescomplemented
91#2615C2212yes—
92#2610C2214yescomplemented
93#2603C2214yescomplemented
94#2598C2214yescomplemented
95#2597C2214yescomplemented
96#2597C2214yescomplemented
97#2592C2212yescomplemented
98#2591C2214yescomplemented
99#2584C2212yescomplemented
100#2580C2212yes—
101#2578C2214yescomplemented
102#2575C2214yescomplemented
103#2571C2212yescomplemented
104#2571C2211yescharacteristic, complemented
105#2566C2212yescomplemented
106#2562C2212yescomplemented
107#2559C2214yescomplemented
108#2559C2214yescomplemented
109#2558C2214yescomplemented
110#2555C2214yescomplemented
111#2554C2214yescomplemented
112#2552C2211yescharacteristic, complemented
113#2548C2211yescharacteristic
114#2548C2212yescomplemented
115#2544C2212yescomplemented
116#2541C2212yes—
117#2541C2211yescharacteristic
118#2538C2211yescharacteristic
119#2537C2211yescharacteristic
120#2537C2212yescomplemented
121#2535C2214yescomplemented
122#2534C2214yescomplemented
123#2532C2214yescomplemented
124#2529C2214yescomplemented
125#2521C2212yescomplemented
126#2519C2212yescomplemented
127#2518C2214yescomplemented
128#2513C2212yes—
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2211yescharacteristic
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2509C2212yescomplemented
135#2506C2211yescharacteristic, complemented
136#2504C2212yes—
137#2504C2212yescomplemented
138#2504C2212yescomplemented
139#2501C2211yescharacteristic
140#2501C2212yescomplemented
141#2500C2212yes—
142#2500C2212yes—
143#2500C2212yescomplemented
144#2500C2212yescomplemented
145#2500C2212yescomplemented
146#2497C2212yescomplemented
147#2497C2212yescomplemented
148#2496C2211yescharacteristic, complemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2491C2212yes—
152#2491C2211yescharacteristic
153#2491C2212yescomplemented
154#2490C2212yes—
155#2489C2212yescomplemented
156#2488C2212yescomplemented
157#2486C2211yescharacteristic, complemented
158#2480C2214yescomplemented
159#2476C2212yescomplemented
160#2474C2212yescomplemented
161#2464C2214yescomplemented
162#2464C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2459C2212yescomplemented
166#2459C2214yescomplemented
167#2457C2214yescomplemented
168#2457C2214yescomplemented
169#2456C2212yescomplemented
170#2454C2212yes—
171#2454C2212yescomplemented
172#2451C2211yescharacteristic, complemented
173#2448C2214yescomplemented
174#2448C2214yescomplemented
175#2447C2212yescomplemented
176#2445C2211yescharacteristic
177#2445C2214yescomplemented
178#2445C2212yescomplemented
179#2445C2214yescomplemented
180#2444C2214yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2441C2212yescomplemented
184#2440C2211yescharacteristic, complemented
185#2439C2211yescharacteristic, complemented
186#2433C2212yes—
187#2431C2211yescharacteristic
188#2428C2214yescomplemented
189#2427C2212yescomplemented
190#2426C2212yes—
191#2426C2211yescharacteristic, complemented
192#2425C2212yescomplemented
193#2424C2214yes—
194#2424C2214yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2420C2211yescharacteristic
199#2420C2212yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2416C2211yescharacteristic
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yes—
213#2414C2212yes—
214#2414C2211yescharacteristic, complemented
215#2412C2214yescomplemented
216#2411C2214yes—
217#2411C2214yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2211yescharacteristic
222#2398C2214yescomplemented
223#2396C2212yescomplemented
224#2395C2212yescomplemented
225#2392C2212yescomplemented
226#2388C2212yescomplemented
227#2375C2214yes—
228#2367C2214yescomplemented
229#2366C2212yes—
230#2366C2211yescharacteristic
231#2365C2212yescomplemented
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2357C2212yescomplemented
239#2357C2212yescomplemented
240#2355C2211yescharacteristic, complemented
241#2355C2212yescomplemented
242#2355C2211yescharacteristic, complemented
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2354C2211yescharacteristic, complemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251#2352C2212yescomplemented
252#2352C2214yescomplemented
253#2352C2212yescomplemented
254#2352C2212yescomplemented
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2346C2212yescomplemented
258#2346C2212yescomplemented
259#2342C2214yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263#2335C2214yescomplemented
264#2325C2214yescomplemented
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yescomplemented
268#2321C2214yes—
269#2317C2212yescomplemented
270#2314C2214yescomplemented
271#2311C2212yes—
272#2311C2212yescomplemented
273#2309C2212yes—
274#2309C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2212yescomplemented
280C4×#123C2212yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yescomplemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287#2297C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#390C2212yes—
291#2285C2212yescomplemented
292#2285C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296#2274C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#553—48no—
304#546—48no—
305D42—28no—
306#540—48no—
307#535—48no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2314yes—
314C2×#127C2312yes—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369#520—48no—
370C4×#41—28no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2312yes—
440#399C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#383C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#381C2314yes—
735#381C2312yes—
736#381C2314yes—
737#381C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—42no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877#127—24no—
878#127—24no—
879#127—44no—
880#127—48no—
881#126—48no—
882#126—44no—
883#126—44no—
884#125—44no—
885#125—44no—
886#125—44no—
887#124—28no—
888#124—42no—
889#124—44no—
890#124—44no—
891#124—48no—
892#124—84no—
893#123—44no—
894#123—48no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—44no—
899#123—48no—
900#123—44no—
901#123—48no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905#121—24no—
906#121—28no—
907#121—24no—
908#121—28no—
909#121—24no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—28no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—82no—
929#120—216no—
930#120—48no—
931#120—48no—
932#120—48no—
933#120—84no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—48no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—84no—
961C4×D4—82no—
962C4×D4#4118yes—
963#117—28no—
964#117—28no—
965#117—24no—
966#117—28no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—44no—
972#117—44no—
973#117—84no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—82no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—84no—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C42—28no—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—44no—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207C24—28no—
1208C24—44no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24—44no—
1213C24—44no—
1214C24C2512yes—
1215C24C2514yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2511yescharacteristic
1220#41—432no—
1221#41—416no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—41no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—816no—
1297C2×D4—816no—
1298C2×D4C2×#4114yes—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4C2×#4118yes—
1351C22×C4H(5,𝔽2)14yes—
1352C22×C4H(5,𝔽2)14yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2514yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4C2×#4114yes—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
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—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—41no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4C2×#4118yes—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—28no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—22no—
1534C42—42no—
1535C42—42no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—41no—
1543C42—41no—
1544C42C2×#4114yes—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—164no—
1590C23—164no—
1591C23C22×#4114yes—
1592C23C2×H(5,𝔽2)12yes—
1593C23C2×H(5,𝔽2)12yes—
1594C23C2611yescharacteristic
1595Q8—48no—
1596Q8—44no—
1597Q8—84no—
1598D4—28no—
1599D4—48no—
1600D4—48no—
1601D4—44no—
1602D4—48no—
1603D4—48no—
1604D4—44no—
1605D4—48no—
1606D4—48no—
1607D4—44no—
1608D4—84no—
1609D4—88no—
1610D4—84no—
1611D4—88no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—88no—
1616D4—88no—
1617D4—164no—
1618D4—164no—
1619D4—164no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—28no—
1631C2×C4—216no—
1632C2×C4—28no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—82no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—164no—
1710C2×C4—164no—
1711C2×C4—164no—
1712C2×C4—164no—
1713C2×C4—164no—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4114yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4#58512yes—
1723C2×C4#58512yes—
1724C2×C4#58512yes—
1725C22—24no—
1726C22—22no—
1727C22—24no—
1728C22—22no—
1729C22—24no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—42no—
1759C22—44no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—1616no—
1768C22C23×#4111yescharacteristic
1769C22C22×H(5,𝔽2)11yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C2×#58511yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22H(7,𝔽2)11yescharacteristic
1775C4—22no—
1776C4—22no—
1777C4—24no—
1778C4—22no—
1779C4—22no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—42no—
1784C4—41no—
1785C4—42no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—44no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—44no—
1800C4—41no—
1801C4—44no—
1802C4#349414yes—
1803C4#351314yes—
1804C2—42no—
1805C2—42no—
1806C2—44no—
1807C2—82no—
1808C2—84no—
1809C2—82no—
1810C2C2×#351311yescharacteristic
1811C2C2×#349411yescharacteristic
1812C2#6283411yescharacteristic
1813C2#6293011yescharacteristic
1814C2#6296111yescharacteristic
1815C2#6300811yescharacteristic
1816C2#6303111yescharacteristic
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. #59640C2semidirect
2. #59382C2semidirect
3. #59303C2semidirect
4. #59272C2semidirect
5. #59227C2semidirect
6. #50800C2semidirect
7. #49646C2semidirect
8. #46767C2semidirect
9. #45160C2semidirect
10. #45105C2semidirect
11. #45002C2semidirect
12. #44959C2semidirect
13. #43471C2semidirect
14. #42982C2semidirect
15. #42594C2semidirect
16. #39938C2semidirect
17. #39498C2semidirect
18. #39352C2semidirect
19. #39342C2semidirect
20. #39237C2semidirect
21. #39193C2semidirect
22. #38902C2semidirect
23. #37969C2semidirect
24. #36587C2semidirect
25. #36258C2semidirect
26. #36182C2semidirect
27. #36083C2semidirect
28. #35800C2semidirect
29. #35567C2semidirect
30. #35531C2semidirect
31. #34763C2semidirect
32. #34715C2semidirect
33. #34493C2semidirect
34. #34206C2semidirect
35. #34188C2semidirect
36. C2×#553C22semidirect
39. C2×#540C22semidirect
42. C2×#529C22semidirect
43. C2×#520C22semidirect
45. #2859C22semidirect
49. #2850C22semidirect
50. #2830C22semidirect
51. #2807C22semidirect
52. #2803C22semidirect
53. #2800C22semidirect
54. #2795C22semidirect
55. #2788C22semidirect
56. #2781C22semidirect
57. #2779C22semidirect
58. #2763C22semidirect
59. #2761C22semidirect
60. #2757C22semidirect
61. #2753C22semidirect
62. #2753C22semidirect
63. #2753C22semidirect
64. #2743C22semidirect
65. #2739C22semidirect
66. #2735C22semidirect
67. #2715C22semidirect
68. #2709C22semidirect
69. #2706C22semidirect
70. #2706C22semidirect
71. #2706C22semidirect
72. #2696C22semidirect
73. #2694C22semidirect
74. #2693C22semidirect
75. #2688C22semidirect
76. #2685C22semidirect
77. #2684C22semidirect
78. #2684C22semidirect
79. #2671C22semidirect
82. #2668C22semidirect
83. #2668C22semidirect
84. #2654C22semidirect
85. #2648C22semidirect
86. #2648C22semidirect
87. #2637C22semidirect
88. #2628C22semidirect
89. #2625C22semidirect
90. #2624C22semidirect
92. #2610C22semidirect
93. #2603C22semidirect
94. #2598C22semidirect
95. #2597C22semidirect
96. #2597C22semidirect
97. #2592C22semidirect
98. #2591C22semidirect
99. #2584C22semidirect
101. #2578C22semidirect
102. #2575C22semidirect
103. #2571C22semidirect
104. #2571C22semidirect
105. #2566C22semidirect
106. #2562C22semidirect
107. #2559C22semidirect
108. #2559C22semidirect
109. #2558C22semidirect
110. #2555C22semidirect
111. #2554C22semidirect
112. #2552C22semidirect
114. #2548C22semidirect
115. #2544C22semidirect
120. #2537C22semidirect
121. #2535C22semidirect
122. #2534C22semidirect
123. #2532C22semidirect
124. #2529C22semidirect
125. #2521C22semidirect
126. #2519C22semidirect
127. #2518C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2509C22semidirect
135. #2506C22semidirect
137. #2504C22semidirect
138. #2504C22semidirect
140. #2501C22semidirect
143. #2500C22semidirect
144. #2500C22semidirect
145. #2500C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
153. #2491C22semidirect
155. #2489C22semidirect
156. #2488C22semidirect
157. #2486C22semidirect
158. #2480C22semidirect
159. #2476C22semidirect
160. #2474C22semidirect
161. #2464C22semidirect
162. #2464C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
165. #2459C22semidirect
166. #2459C22semidirect
167. #2457C22semidirect
168. #2457C22semidirect
169. #2456C22semidirect
171. #2454C22semidirect
172. #2451C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
175. #2447C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2444C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2441C22semidirect
184. #2440C22semidirect
185. #2439C22semidirect
188. #2428C22semidirect
189. #2427C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
194. #2424C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
199. #2420C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2415C22semidirect
214. #2414C22semidirect
215. #2412C22semidirect
217. #2411C22semidirect
222. #2398C22semidirect
223. #2396C22semidirect
224. #2395C22semidirect
225. #2392C22semidirect
226. #2388C22semidirect
228. #2367C22semidirect
231. #2365C22semidirect
234. #2363C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. #2346C22semidirect
258. #2346C22semidirect
259. #2342C22semidirect
263. #2335C22semidirect
264. #2325C22semidirect
267. #2324C22semidirect
269. #2317C22semidirect
270. #2314C22semidirect
272. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. #2297C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. #2285C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. #2274C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#593822
#593032
#592722
#592272
#508002
#496462
#467672
#451602
#451052
#450022
#449592
#434712
#429822
#425942
#399382
#394982
#393522
#393422
#392372
#391932
#389022
#379692
#365872
#362582
#361822
#360832
#358002
#355672
#355312
#347632
#347152
#344932
#342062
#341882