Finite Group Databasebeta

← #7679795

Subgroups — #7679795

Order 512.

5409 conjugacy classes of subgroups.

The subgroup lattice has 1839 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C212yesmaximal, complemented
2#59643C212yesmaximal, complemented
3#59640C212yesmaximal, complemented
4#59623C214yesmaximal, complemented
5#59584C212yesmaximal, complemented
6#59367C214yesmaximal, complemented
7#45168C212yesmaximal, complemented
8#45167C212yesmaximal, complemented
9#45072C212yesmaximal, complemented
10#45043C212yesmaximal, complemented
11#44105C214yesmaximal, complemented
12#44064C214yesmaximal, complemented
13#39275C212yesmaximal, complemented
14#39275C212yesmaximal, complemented
15#39269C212yesmaximal, complemented
16#39268C212yesmaximal, complemented
17#39202C212yesmaximal, complemented
18#39197C212yesmaximal, complemented
19#36537C212yesmaximal, complemented
20#36463C212yesmaximal, complemented
21#35618C211yesmaximal, characteristic, complemented
22#35565C211yesmaximal, characteristic
23#35556C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35264C211yesmaximal, characteristic, complemented
26#35262C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#34813C211yesmaximal, characteristic, complemented
29C2×#2420C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34265C211yesmaximal, characteristic, complemented
32#34215C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2861C2212yescomplemented
49#2858C2212yescomplemented
50#2855C2212yescomplemented
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yescomplemented
54#2808C2214yescomplemented
55#2804C2214yescomplemented
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2803C2214yescomplemented
59#2798C2214yescomplemented
60#2797C2214yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2796C2214yescomplemented
65#2773C2214yescomplemented
66#2771C2214yescomplemented
67#2754C2214yescomplemented
68#2752C2214yescomplemented
69#2752C2214yescomplemented
70#2751C2214yescomplemented
71#2751C2214yescomplemented
72#2751C2214yescomplemented
73#2712C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2641C2212yescomplemented
79#2640C2212yescomplemented
80#2625C2212yescomplemented
81#2624C2212yes—
82#2624C2212yes—
83#2624C2212yescomplemented
84#2607C2214yescomplemented
85#2602C2214yescomplemented
86#2600C2214yescomplemented
87#2600C2214yescomplemented
88#2600C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2597C2214yescomplemented
92#2596C2214yescomplemented
93#2595C2214yescomplemented
94#2593C2214yescomplemented
95#2592C2214yescomplemented
96#2592C2212yescomplemented
97#2592C2212yescomplemented
98#2575C2214yescomplemented
99#2575C2214yescomplemented
100#2563C2212yescomplemented
101#2562C2212yescomplemented
102#2562C2212yescomplemented
103#2557C2214yescomplemented
104#2557C2214yescomplemented
105#2557C2214yescomplemented
106#2548C2212yescomplemented
107#2548C2214yescomplemented
108#2548C2212yescomplemented
109#2547C2212yescomplemented
110#2544C2214yescomplemented
111#2544C2214yescomplemented
112#2544C2214yescomplemented
113#2541C2212yes—
114#2541C2212yes—
115#2541C2212yes—
116#2541C2212yes—
117#2540C2212yes—
118#2540C2212yes—
119#2540C2212yes—
120#2540C2212yes—
121#2539C2214yes—
122#2516C2214yescomplemented
123#2516C2214yescomplemented
124#2516C2214yescomplemented
125#2513C2214yescomplemented
126#2513C2214yescomplemented
127#2504C2212yes—
128#2504C2212yescomplemented
129#2503C2212yescomplemented
130#2501C2212yes—
131#2500C2212yes—
132#2500C2212yes—
133#2500C2212yescomplemented
134#2499C2212yescomplemented
135#2492C2211yescharacteristic, complemented
136#2492C2211yescharacteristic, complemented
137#2492C2212yescomplemented
138#2491C2212yescomplemented
139#2491C2212yescomplemented
140#2491C2211yescharacteristic, complemented
141#2491C2211yescharacteristic, complemented
142#2491C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2490C2212yescomplemented
146#2490C2212yescomplemented
147#2490C2212yescomplemented
148#2490C2211yescharacteristic, complemented
149#2490C2212yescomplemented
150#2490C2211yescharacteristic, complemented
151#2490C2212yescomplemented
152#2489C2211yescharacteristic, complemented
153#2489C2212yescomplemented
154#2489C2211yescharacteristic, complemented
155#2488C2212yes—
156#2488C2214yes—
157#2488C2212yes—
158#2482C2214yes—
159#2472C2212yes—
160#2472C2214yes—
161#2472C2214yes—
162#2472C2214yes—
163#2472C2214yes—
164#2472C2214yes—
165#2472C2212yes—
166#2459C2214yescomplemented
167#2459C2214yescomplemented
168#2459C2214yescomplemented
169#2459C2214yescomplemented
170#2459C2214yescomplemented
171#2458C2214yescomplemented
172#2448C2214yescomplemented
173#2447C2214yescomplemented
174#2447C2214yescomplemented
175#2445C2214yescomplemented
176#2444C2214yes—
177#2444C2214yes—
178#2444C2214yes—
179#2443C2214yes—
180#2433C2214yes—
181#2423C2212yescomplemented
182#2422C2212yescomplemented
183#2421C2212yescomplemented
184#2421C2212yescomplemented
185#2421C2212yescomplemented
186#2420C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yes—
191#2420C2212yes—
192#2420C2212yes—
193#2420C2212yes—
194#2420C2212yescomplemented
195#2420C2212yescomplemented
196#2420C2212yescomplemented
197#2405C2214yes—
198#2398C2212yescomplemented
199#2398C2212yescomplemented
200C2×#397C2212yes—
201C2×#394C2212yes—
202#2374C2214yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2369C2212yescomplemented
206#2368C2214yes—
207#2368C2214yes—
208#2368C2214yes—
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2366C2214yescomplemented
214#2365C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2211yescharacteristic, complemented
217#2363C2211yescharacteristic, complemented
218#2363C2212yescomplemented
219#2362C2211yescharacteristic, complemented
220#2362C2211yescharacteristic, complemented
221#2361C2211yescharacteristic, complemented
222#2361C2211yescharacteristic, complemented
223#2361C2212yescomplemented
224#2361C2212yescomplemented
225#2360C2214yes—
226#2360C2211yescharacteristic, complemented
227#2360C2211yescharacteristic, complemented
228#2359C2212yes—
229#2359C2214yes—
230#2359C2212yes—
231#2358C2212yes—
232#2358C2214yes—
233#2358C2212yes—
234#2357C2214yescomplemented
235#2357C2214yescomplemented
236#2355C2212yescomplemented
237#2355C2212yescomplemented
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2354C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244#2331C2212yescomplemented
245#2331C2212yescomplemented
246#2331C2212yescomplemented
247#2330C2212yescomplemented
248#2328C2212yescomplemented
249#2326C2212yescomplemented
250#2324C2212yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2323C2212yescomplemented
254#2321C2214yes—
255#2321C2214yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2309C2211yescharacteristic
263#2309C2211yescharacteristic
264C4×C4⋊Q8C2212yescomplemented
265C4×#127C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#125C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#124C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#120C2214yes—
277C4×#120C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2293C2212yescomplemented
283C2×#390C2211yescharacteristic
284C2×#389C2211yescharacteristic
285#2290C2212yescomplemented
286#2290C2212yescomplemented
287C2×#386C2212yes—
288C2×#382C2211yescharacteristic
289#2280C2211yescharacteristic
290C2×#381C2212yes—
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#544—28no—
306#537—44no—
307#535—28no—
308#535—28no—
309#533—28no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317C2×#127C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331#525—28no—
332#525—28no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121—44no—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2312yes—
366C2×#120C2312yes—
367#520—44no—
368C4×#41—44no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2314yes—
375C2×C4×D4—44no—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×#117—44no—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2312yes—
437#400C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#393C2312yes—
501#393C2312yes—
502#393C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
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#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#379C2314yes—
745#379C2314yes—
746#379C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—82no—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4—24no—
861C23×C4—44no—
862C23×C4—44no—
863C23×C4—82no—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—28no—
889C4⋊Q8—28no—
890#127—28no—
891#127—28no—
892#127—48no—
893#127—84no—
894#125—24no—
895#125—24no—
896#125—28no—
897#125—28no—
898#124—28no—
899#124—28no—
900#124—44no—
901#124—44no—
902#124—84no—
903#124—84no—
904#124—84no—
905#124—84no—
906#124—84no—
907#123—28no—
908#123—28no—
909#123—48no—
910#123—84no—
911#123—84no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—24no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—216no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921#121—24no—
922#121—24no—
923#121—24no—
924#121—24no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#120—28no—
937#120—28no—
938#120—216no—
939#120—216no—
940C4×Q8—28no—
941C4×Q8—28no—
942C4×Q8—42no—
943C4×Q8—42no—
944C4×Q8—44no—
945C4×Q8—84no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—44no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—84no—
965C4×D4—84no—
966C4×D4—84no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—44no—
972#117—44no—
973#117—44no—
974#117—42no—
975#117—42no—
976#117—44no—
977#117#4118yes—
978#117#4118yes—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—42no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4—42no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—82no—
1041C2×C22⋊C4—82no—
1042C2×C22⋊C4—82no—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
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#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—24no—
1221C24—24no—
1222C24—41no—
1223C24—41no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—41no—
1229C24C2511yescharacteristic
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2511yescharacteristic
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—28no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—44no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—44no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—416no—
1304C2×D4—816no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—416no—
1369C22×C4—816no—
1370C22×C4C2×#4114yes—
1371C22×C4C2×#4114yes—
1372C22×C4H(5,𝔽2)14yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4C2×#4114yes—
1448C4⋊C4C2×#4114yes—
1449C4⋊C4C2×#4114yes—
1450C4⋊C4C2×#4114yes—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4C2×#4118yes—
1523C22⋊C4C2×#4118yes—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—44no—
1542C42—42no—
1543C42—44no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—42no—
1549C42—44no—
1550C42—44no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42C2×#4118yes—
1556C42C2×#4118yes—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—24no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—21no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—48no—
1599C23—48no—
1600C23—44no—
1601C23—48no—
1602C23—82no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23—82no—
1607C23—84no—
1608C23—82no—
1609C23C22×#4112yes—
1610C23C22×#4112yes—
1611C23C2×H(5,𝔽2)12yes—
1612C23#58512yes—
1613C23C2611yescharacteristic
1614Q8—44no—
1615Q8—44no—
1616Q8—84no—
1617Q8—84no—
1618Q8—88no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—48no—
1623D4—48no—
1624D4—48no—
1625D4—44no—
1626D4—44no—
1627D4—88no—
1628D4—84no—
1629D4—88no—
1630D4—88no—
1631D4—88no—
1632D4—84no—
1633D4—88no—
1634D4—88no—
1635D4—164no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—82no—
1723C2×C4—82no—
1724C2×C4—84no—
1725C2×C4—84no—
1726C2×C4—82no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4#559116yes—
1734C2×C4C22×#4114yes—
1735C2×C4C22×#4114yes—
1736C2×C4C22×#4114yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4#58512yes—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—44no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—44no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—44no—
1780C22—42no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—42no—
1785C22—44no—
1786C22—88no—
1787C22—816no—
1788C22C2×#55914yes—
1789C22C23×#4111yescharacteristic
1790C22C23×#4111yescharacteristic
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22H(7,𝔽2)11yescharacteristic
1795C22H(7,𝔽2)11yescharacteristic
1796C4—24no—
1797C4—24no—
1798C4—24no—
1799C4—24no—
1800C4—22no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—44no—
1809C4—42no—
1810C4—41no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—44no—
1817C4—42no—
1818C4—44no—
1819C4—41no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4C2×#55914yes—
1824C4C2×#55914yes—
1825C2—24no—
1826C2—42no—
1827C2—82no—
1828C2—82no—
1829C2—81no—
1830C2—84no—
1831C2C22×#55911yescharacteristic
1832C2#6281011yescharacteristic
1833C2#6285811yescharacteristic
1834C2#6292411yescharacteristic
1835C2#6292411yescharacteristic
1836C2#6299411yescharacteristic
1837C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35565C2
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. #59643C2semidirect
3. #59640C2semidirect
4. #59623C2semidirect
5. #59584C2semidirect
6. #59367C2semidirect
7. #45168C2semidirect
8. #45167C2semidirect
9. #45072C2semidirect
10. #45043C2semidirect
11. #44105C2semidirect
12. #44064C2semidirect
13. #39275C2semidirect
14. #39275C2semidirect
15. #39269C2semidirect
16. #39268C2semidirect
17. #39202C2semidirect
18. #39197C2semidirect
19. #36537C2semidirect
20. #36463C2semidirect
21. #35618C2semidirect
23. #35556C2semidirect
24. #35542C2semidirect
25. #35264C2semidirect
26. #35262C2semidirect
27. #35255C2semidirect
28. #34813C2semidirect
29. C2×#2420C2semidirect
30. #34272C2semidirect
31. #34265C2semidirect
32. #34215C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. C4×#535C2semidirect
48. #2861C22semidirect
49. #2858C22semidirect
50. #2855C22semidirect
53. #2854C22semidirect
54. #2808C22semidirect
55. #2804C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2803C22semidirect
59. #2798C22semidirect
60. #2797C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2796C22semidirect
65. #2773C22semidirect
66. #2771C22semidirect
67. #2754C22semidirect
68. #2752C22semidirect
69. #2752C22semidirect
70. #2751C22semidirect
71. #2751C22semidirect
72. #2751C22semidirect
73. #2712C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
78. #2641C22semidirect
79. #2640C22semidirect
80. #2625C22semidirect
83. #2624C22semidirect
84. #2607C22semidirect
85. #2602C22semidirect
86. #2600C22semidirect
87. #2600C22semidirect
88. #2600C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2597C22semidirect
92. #2596C22semidirect
93. #2595C22semidirect
94. #2593C22semidirect
95. #2592C22semidirect
96. #2592C22semidirect
97. #2592C22semidirect
98. #2575C22semidirect
99. #2575C22semidirect
100. #2563C22semidirect
101. #2562C22semidirect
102. #2562C22semidirect
103. #2557C22semidirect
104. #2557C22semidirect
105. #2557C22semidirect
106. #2548C22semidirect
107. #2548C22semidirect
108. #2548C22semidirect
109. #2547C22semidirect
110. #2544C22semidirect
111. #2544C22semidirect
112. #2544C22semidirect
122. #2516C22semidirect
123. #2516C22semidirect
124. #2516C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
128. #2504C22semidirect
129. #2503C22semidirect
133. #2500C22semidirect
134. #2499C22semidirect
135. #2492C22semidirect
136. #2492C22semidirect
137. #2492C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
147. #2490C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
152. #2489C22semidirect
153. #2489C22semidirect
154. #2489C22semidirect
166. #2459C22semidirect
167. #2459C22semidirect
168. #2459C22semidirect
169. #2459C22semidirect
170. #2459C22semidirect
171. #2458C22semidirect
172. #2448C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2445C22semidirect
181. #2423C22semidirect
182. #2422C22semidirect
183. #2421C22semidirect
184. #2421C22semidirect
185. #2421C22semidirect
194. #2420C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
198. #2398C22semidirect
199. #2398C22semidirect
202. #2374C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2365C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
223. #2361C22semidirect
224. #2361C22semidirect
226. #2360C22semidirect
227. #2360C22semidirect
234. #2357C22semidirect
235. #2357C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2354C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2331C22semidirect
245. #2331C22semidirect
246. #2331C22semidirect
247. #2330C22semidirect
248. #2328C22semidirect
249. #2326C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2323C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#127C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect
268. C4×#125C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
282. #2293C22semidirect
285. #2290C22semidirect
286. #2290C22semidirect
295. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#596432
#596402
#596232
#595842
#593672
#451682
#451672
#450722
#450432
#441052
#440642
#392752
#392692
#392682
#392022
#391972
#365372
#364632
#356182
#355652
#355562
#355422
#352642
#352622
#352552
#348132
C2×#24202
#342722
#342652
#342152
#342022
#341362
C4×#5352