Finite Group Databasebeta

← #7680356

Subgroups — #7680356

Order 512.

5369 conjugacy classes of subgroups.

The subgroup lattice has 1837 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59637C214yesmaximal, complemented
2#59636C214yesmaximal, complemented
3#59633C212yesmaximal, complemented
4#59632C212yesmaximal, complemented
5#59627C212yesmaximal, complemented
6#59592C212yesmaximal, complemented
7#45315C212yesmaximal, complemented
8#45302C212yesmaximal, complemented
9#45205C212yesmaximal, complemented
10#45048C212yesmaximal, complemented
11#43602C214yesmaximal, complemented
12#43178C214yesmaximal, complemented
13#39273C212yesmaximal, complemented
14#39272C212yesmaximal, complemented
15#39270C212yesmaximal, complemented
16#39270C212yesmaximal, complemented
17#39202C212yesmaximal, complemented
18#39197C212yesmaximal, complemented
19#36537C212yesmaximal, complemented
20#36463C212yesmaximal, complemented
21#35649C211yesmaximal, characteristic, complemented
22#35565C211yesmaximal, characteristic
23#35542C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35264C211yesmaximal, characteristic, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35254C211yesmaximal, characteristic, complemented
28C2×#2490C211yesmaximal, characteristic, complemented
29#34742C211yesmaximal, characteristic, complemented
30#34271C211yesmaximal, characteristic, complemented
31#34269C211yesmaximal, characteristic, complemented
32#34217C211yesmaximal, characteristic, complemented
33#34204C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C22×#125C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2861C2212yescomplemented
49#2858C2212yescomplemented
50#2855C2212yescomplemented
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2808C2214yescomplemented
55#2803C2214yescomplemented
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2797C2214yescomplemented
59#2797C2214yescomplemented
60#2797C2214yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2796C2214yescomplemented
64#2796C2214yescomplemented
65#2796C2214yescomplemented
66#2773C2214yescomplemented
67#2773C2214yescomplemented
68#2771C2214yescomplemented
69#2754C2214yescomplemented
70#2752C2214yescomplemented
71#2752C2214yescomplemented
72#2752C2214yescomplemented
73#2751C2214yescomplemented
74#2724C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2641C2212yescomplemented
79#2640C2212yescomplemented
80#2625C2212yescomplemented
81#2624C2212yescomplemented
82#2624C2212yescomplemented
83#2624C2212yescomplemented
84#2602C2214yescomplemented
85#2602C2214yescomplemented
86#2602C2214yescomplemented
87#2602C2214yescomplemented
88#2600C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2597C2214yescomplemented
92#2596C2214yescomplemented
93#2595C2214yescomplemented
94#2595C2214yescomplemented
95#2595C2214yescomplemented
96#2593C2214yescomplemented
97#2591C2214yes—
98#2589C2214yescomplemented
99#2580C2214yescomplemented
100#2575C2214yescomplemented
101#2563C2212yescomplemented
102#2562C2212yescomplemented
103#2562C2212yescomplemented
104#2557C2214yescomplemented
105#2557C2214yescomplemented
106#2557C2214yescomplemented
107#2548C2214yescomplemented
108#2547C2212yescomplemented
109#2544C2214yescomplemented
110#2541C2212yes—
111#2541C2212yes—
112#2541C2212yes—
113#2541C2212yes—
114#2540C2212yes—
115#2540C2212yes—
116#2540C2212yes—
117#2540C2212yes—
118#2539C2214yes—
119#2517C2214yescomplemented
120#2516C2214yescomplemented
121#2513C2214yescomplemented
122#2513C2214yescomplemented
123#2513C2214yescomplemented
124#2504C2214yes—
125#2498C2214yes—
126#2492C2212yescomplemented
127#2491C2212yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2490C2212yes—
131#2490C2212yes—
132#2490C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2490C2212yes—
136#2490C2212yes—
137#2490C2212yes—
138#2490C2212yescomplemented
139#2490C2212yescomplemented
140#2490C2212yescomplemented
141#2490C2212yescomplemented
142#2490C2212yescomplemented
143#2490C2212yescomplemented
144#2490C2212yescomplemented
145#2489C2212yescomplemented
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2489C2212yescomplemented
149#2489C2212yescomplemented
150#2488C2214yes—
151#2487C2212yescomplemented
152#2486C2212yescomplemented
153#2485C2212yescomplemented
154#2485C2212yescomplemented
155#2472C2214yes—
156#2472C2214yes—
157#2472C2214yes—
158#2459C2214yescomplemented
159#2459C2214yescomplemented
160#2458C2214yescomplemented
161#2455C2214yescomplemented
162#2455C2214yescomplemented
163#2448C2214yescomplemented
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2447C2214yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2214yescomplemented
170#2445C2214yescomplemented
171#2445C2212yescomplemented
172#2445C2212yescomplemented
173#2445C2214yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2433C2214yes—
177#2423C2211yescharacteristic, complemented
178#2423C2211yescharacteristic, complemented
179#2422C2211yescharacteristic, complemented
180#2422C2211yescharacteristic, complemented
181#2422C2212yescomplemented
182#2422C2212yescomplemented
183#2421C2211yescharacteristic, complemented
184#2421C2211yescharacteristic, complemented
185#2420C2212yescomplemented
186#2420C2211yescharacteristic, complemented
187#2420C2212yescomplemented
188#2420C2211yescharacteristic, complemented
189#2419C2212yes—
190#2419C2212yes—
191#2418C2214yes—
192#2418C2212yes—
193#2418C2212yes—
194#2418C2214yes—
195#2412C2214yes—
196#2412C2214yes—
197#2412C2214yes—
198#2395C2212yescomplemented
199#2395C2212yescomplemented
200C2×#397C2212yes—
201C2×#394C2212yes—
202#2374C2214yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2370C2212yescomplemented
209#2370C2212yescomplemented
210#2370C2212yescomplemented
211#2369C2212yescomplemented
212#2369C2212yescomplemented
213#2367C2212yescomplemented
214#2367C2212yescomplemented
215#2366C2212yescomplemented
216#2366C2212yescomplemented
217#2366C2214yescomplemented
218#2365C2212yescomplemented
219#2365C2212yescomplemented
220#2363C2212yes—
221#2363C2212yes—
222#2363C2211yescharacteristic, complemented
223#2363C2211yescharacteristic, complemented
224#2362C2211yescharacteristic, complemented
225#2362C2211yescharacteristic, complemented
226#2361C2212yes—
227#2361C2212yes—
228#2361C2211yescharacteristic, complemented
229#2361C2211yescharacteristic, complemented
230#2360C2211yescharacteristic, complemented
231#2360C2211yescharacteristic, complemented
232#2359C2212yes—
233#2359C2212yes—
234#2358C2214yes—
235#2358C2212yes—
236#2358C2212yes—
237#2358C2214yes—
238#2357C2214yescomplemented
239#2357C2214yescomplemented
240#2345C2214yes—
241#2345C2214yes—
242#2342C2214yes—
243D4×C22⋊C4C2214yes—
244#2330C2212yescomplemented
245#2330C2212yescomplemented
246#2329C2214yes—
247#2325C2214yes—
248#2324C2212yes—
249#2324C2212yes—
250#2324C2212yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2324C2212yescomplemented
254#2323C2212yescomplemented
255#2323C2212yescomplemented
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2309C2211yescharacteristic
264C4×#125C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×C22⋊Q8C2214yes—
267C4×C22⋊Q8C2212yescomplemented
268C4×C22⋊Q8C2212yescomplemented
269C4×#123C2212yescomplemented
270C4×#123C2212yescomplemented
271C4×#121C2214yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2293C2212yescomplemented
283C2×#390C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#390C2212yes—
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304#544—28no—
305#537—28no—
306#535—28no—
307#535—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312C2×#127C2312yes—
313C2×#127C2314yes—
314C2×#125—28no—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326#525—28no—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×#121—28no—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#120C2312yes—
361C2×#120C2314yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364#518—44no—
365C4×#41—44no—
366C4×#41—44no—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×#117—44no—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430C22×C42C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#394C2314yes—
476#394C2314yes—
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#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
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#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
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#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#379C2314yes—
750#379C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2311yescharacteristic
820C2×#95C2312yes—
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×D4—24no—
834C22×D4—24no—
835C22×D4—28no—
836C22×D4—24no—
837C22×D4—44no—
838C22×D4—82no—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C4⋊Q8—28no—
883C4⋊Q8—28no—
884#127—28no—
885#127—44no—
886#127—48no—
887#127—84no—
888#125—28no—
889#125—28no—
890#125—28no—
891#125—28no—
892#125—28no—
893#125—28no—
894#124—28no—
895#124—44no—
896#124—84no—
897#124—84no—
898#124—84no—
899#123—28no—
900#123—44no—
901#123—48no—
902#123—44no—
903#123—44no—
904#123—84no—
905#123—84no—
906#123—84no—
907#123—84no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—216no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915#121—216no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—28no—
920#121—24no—
921#121—24no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#120—28no—
931#120—216no—
932#120—44no—
933#120—48no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—42no—
938C4×Q8—84no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—84no—
960C4×D4—84no—
961C4×D4—84no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—24no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—42no—
972#117—42no—
973#117#4118yes—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—42no—
979C2×C4⋊C4—42no—
980C2×C4⋊C4#4118yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4—28no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—42no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—82no—
1042C2×C22⋊C4—82no—
1043C2×C22⋊C4—82no—
1044C2×C22⋊C4—82no—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42—44no—
1121C2×C42—44no—
1122C2×C42—82no—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—24no—
1220C24—24no—
1221C24—24no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
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—28no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—44no—
1245C2×Q8—44no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—416no—
1298C2×D4—816no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—416no—
1365C22×C4C2×#4118yes—
1366C22×C4C2×#4114yes—
1367C22×C4C2×#4114yes—
1368C22×C4H(5,𝔽2)14yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2514yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4C2×#4118yes—
1449C4⋊C4C2×#4118yes—
1450C4⋊C4C2×#4114yes—
1451C4⋊C4C2×#4114yes—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
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—28no—
1472C22⋊C4—22no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—44no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
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—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4C2×#4118yes—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—42no—
1546C42—44no—
1547C42—42no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42C2×#4118yes—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—21no—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—21no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—21no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—48no—
1599C23—82no—
1600C23—82no—
1601C23—82no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23—84no—
1607C23—84no—
1608C23C22×#4112yes—
1609C23C22×#4112yes—
1610C23C2×H(5,𝔽2)12yes—
1611C23#58512yes—
1612C23C2611yescharacteristic
1613Q8—44no—
1614Q8—44no—
1615Q8—88no—
1616D4—48no—
1617D4—416no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—44no—
1623D4—44no—
1624D4—88no—
1625D4—88no—
1626D4—88no—
1627D4—84no—
1628D4—88no—
1629D4—84no—
1630D4—84no—
1631D4—164no—
1632D4—164no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4—82no—
1722C2×C4—82no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—84no—
1726C2×C4—82no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—164no—
1731C2×C4—164no—
1732C2×C4#559116yes—
1733C2×C4C22×#4114yes—
1734C2×C4C22×#4114yes—
1735C2×C4C22×#4118yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4112yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—44no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—44no—
1764C22—42no—
1765C22—42no—
1766C22—44no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—44no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—88no—
1785C22—168no—
1786C22C2×#55914yes—
1787C22C23×#4111yescharacteristic
1788C22C23×#4111yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22H(7,𝔽2)11yescharacteristic
1793C22H(7,𝔽2)11yescharacteristic
1794C4—28no—
1795C4—24no—
1796C4—24no—
1797C4—22no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—44no—
1803C4—42no—
1804C4—44no—
1805C4—42no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4C2×#55914yes—
1822C4C2×#55914yes—
1823C2—24no—
1824C2—42no—
1825C2—82no—
1826C2—82no—
1827C2—81no—
1828C2—84no—
1829C2C22×#55911yescharacteristic
1830C2#6281011yescharacteristic
1831C2#6285811yescharacteristic
1832C2#6295711yescharacteristic
1833C2#6295711yescharacteristic
1834C2#6299011yescharacteristic
1835C2#6300611yescharacteristic
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. #59637C2semidirect
2. #59636C2semidirect
3. #59633C2semidirect
4. #59632C2semidirect
5. #59627C2semidirect
6. #59592C2semidirect
7. #45315C2semidirect
8. #45302C2semidirect
9. #45205C2semidirect
10. #45048C2semidirect
11. #43602C2semidirect
12. #43178C2semidirect
13. #39273C2semidirect
14. #39272C2semidirect
15. #39270C2semidirect
16. #39270C2semidirect
17. #39202C2semidirect
18. #39197C2semidirect
19. #36537C2semidirect
20. #36463C2semidirect
21. #35649C2semidirect
23. #35542C2semidirect
24. #35541C2semidirect
25. #35264C2semidirect
26. #35263C2semidirect
27. #35254C2semidirect
28. C2×#2490C2semidirect
29. #34742C2semidirect
30. #34271C2semidirect
31. #34269C2semidirect
32. #34217C2semidirect
33. #34204C2semidirect
34. #34136C2semidirect
35. C4×#537C2semidirect
48. #2861C22semidirect
49. #2858C22semidirect
50. #2855C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2808C22semidirect
55. #2803C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2797C22semidirect
59. #2797C22semidirect
60. #2797C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2796C22semidirect
64. #2796C22semidirect
65. #2796C22semidirect
66. #2773C22semidirect
67. #2773C22semidirect
68. #2771C22semidirect
69. #2754C22semidirect
70. #2752C22semidirect
71. #2752C22semidirect
72. #2752C22semidirect
73. #2751C22semidirect
74. #2724C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
78. #2641C22semidirect
79. #2640C22semidirect
80. #2625C22semidirect
81. #2624C22semidirect
82. #2624C22semidirect
83. #2624C22semidirect
84. #2602C22semidirect
85. #2602C22semidirect
86. #2602C22semidirect
87. #2602C22semidirect
88. #2600C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2597C22semidirect
92. #2596C22semidirect
93. #2595C22semidirect
94. #2595C22semidirect
95. #2595C22semidirect
96. #2593C22semidirect
98. #2589C22semidirect
99. #2580C22semidirect
100. #2575C22semidirect
101. #2563C22semidirect
102. #2562C22semidirect
103. #2562C22semidirect
104. #2557C22semidirect
105. #2557C22semidirect
106. #2557C22semidirect
107. #2548C22semidirect
108. #2547C22semidirect
109. #2544C22semidirect
119. #2517C22semidirect
120. #2516C22semidirect
121. #2513C22semidirect
122. #2513C22semidirect
123. #2513C22semidirect
126. #2492C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
148. #2489C22semidirect
149. #2489C22semidirect
151. #2487C22semidirect
152. #2486C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
158. #2459C22semidirect
159. #2459C22semidirect
160. #2458C22semidirect
161. #2455C22semidirect
162. #2455C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2445C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
177. #2423C22semidirect
178. #2423C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
181. #2422C22semidirect
182. #2422C22semidirect
183. #2421C22semidirect
184. #2421C22semidirect
185. #2420C22semidirect
186. #2420C22semidirect
187. #2420C22semidirect
188. #2420C22semidirect
198. #2395C22semidirect
199. #2395C22semidirect
202. #2374C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2370C22semidirect
209. #2370C22semidirect
210. #2370C22semidirect
211. #2369C22semidirect
212. #2369C22semidirect
213. #2367C22semidirect
214. #2367C22semidirect
215. #2366C22semidirect
216. #2366C22semidirect
217. #2366C22semidirect
218. #2365C22semidirect
219. #2365C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
224. #2362C22semidirect
225. #2362C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
244. #2330C22semidirect
245. #2330C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
254. #2323C22semidirect
255. #2323C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
267. C4×C22⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×#123C22semidirect
270. C4×#123C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
282. #2293C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
295. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596372
#596362
#596332
#596322
#596272
#595922
#453152
#453022
#452052
#450482
#436022
#431782
#392732
#392722
#392702
#392022
#391972
#365372
#364632
#356492
#355652
#355422
#355412
#352642
#352632
#352542
C2×#24902
#347422
#342712
#342692
#342172
#342042
#341362
C4×#5372