Finite Group Databasebeta

← #7968343

Subgroups — #7968343

Order 512.

6000 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59650C212yesmaximal, complemented
2#59412C211yesmaximal, characteristic, complemented
3#59399C212yesmaximal, complemented
4#59314C211yesmaximal, characteristic, complemented
5#59233C211yesmaximal, characteristic, complemented
6#51965C214yesmaximal, complemented
7#48462C214yesmaximal, complemented
8#46338C212yesmaximal, complemented
9#45609C212yesmaximal, complemented
10#45079C212yesmaximal, complemented
11#44886C212yesmaximal, complemented
12#44312C214yesmaximal, complemented
13#42923C212yesmaximal, complemented
14#42736C212yesmaximal, complemented
15#41256C214yesmaximal, complemented
16#40150C212yesmaximal, complemented
17#39957C212yesmaximal, complemented
18#39433C212yesmaximal, complemented
19#39401C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#39169C212yesmaximal, complemented
23#36455C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36381C212yesmaximal, complemented
26#36312C211yesmaximal, characteristic, complemented
27#36258C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35198C211yesmaximal, characteristic, complemented
31#35007C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34415C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#542C2212yescomplemented
45C2×#538C2214yescomplemented
46C2×#537C2212yescomplemented
47C2×#535C2212yes—
48C2×#532C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50C2×C4×#41C2211yescharacteristic, complemented
51C2×C4×#41C2211yescharacteristic, complemented
52#2860C2212yes—
53#2860C2212yescomplemented
54#2859C2211yescharacteristic, complemented
55#2858C2212yescomplemented
56#2857C2212yescomplemented
57#2856C2212yes—
58#2856C2211yescharacteristic
59#2856C2211yescharacteristic
60#2856C2212yescomplemented
61#2854C2212yes—
62#2854C2212yescomplemented
63#2832C2214yescomplemented
64#2828C2214yescomplemented
65#2795C2214yescomplemented
66#2785C2214yescomplemented
67#2783C2214yescomplemented
68#2753C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2720C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2711C2214yescomplemented
75#2711C2214yescomplemented
76#2706C2214yescomplemented
77#2706C2214yescomplemented
78#2696C2214yescomplemented
79#2696C2214yescomplemented
80#2692C2214yescomplemented
81#2685C2214yescomplemented
82#2685C2214yescomplemented
83#2681C2214yescomplemented
84#2678C2214yes—
85#2676C2214yescomplemented
86#2676C2214yescomplemented
87#2676C2214yescomplemented
88#2676C2214yescomplemented
89#2676C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2671C2214yescomplemented
93#2670C2214yes—
94#2669C2214yes—
95#2669C2214yescomplemented
96#2669C2214yescomplemented
97#2668C2214yescomplemented
98#2662C2214yescomplemented
99#2662C2214yescomplemented
100#2661C2214yescomplemented
101#2661C2214yescomplemented
102#2641C2214yescomplemented
103#2635C2214yescomplemented
104#2624C2212yescomplemented
105#2620C2214yescomplemented
106#2615C2212yes—
107#2610C2214yescomplemented
108#2609C2214yescomplemented
109#2602C2214yescomplemented
110#2582C2211yescharacteristic, complemented
111#2574C2214yescomplemented
112#2566C2214yescomplemented
113#2566C2212yescomplemented
114#2563C2212yescomplemented
115#2563C2212yescomplemented
116#2560C2214yescomplemented
117#2558C2214yescomplemented
118#2555C2214yescomplemented
119#2554C2214yescomplemented
120#2553C2214yescomplemented
121#2551C2211yescharacteristic, complemented
122#2548C2211yescharacteristic
123#2542C2212yes—
124#2541C2212yes—
125#2541C2211yescharacteristic
126#2541C2214yescomplemented
127#2541C2212yescomplemented
128#2540C2214yescomplemented
129#2539C2214yescomplemented
130#2538C2211yescharacteristic
131#2538C2211yescharacteristic
132#2538C2212yescomplemented
133#2538C2211yescharacteristic, complemented
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2537C2211yescharacteristic, complemented
137#2537C2212yescomplemented
138#2537C2212yescomplemented
139#2535C2212yes—
140#2531C2214yescomplemented
141#2529C2214yescomplemented
142#2526C2214yescomplemented
143#2519C2214yescomplemented
144#2512C2212yescomplemented
145#2512C2212yescomplemented
146#2508C2212yescomplemented
147#2506C2212yescomplemented
148#2504C2212yescomplemented
149#2500C2212yescomplemented
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2491C2212yes—
153#2491C2212yes—
154#2491C2212yescomplemented
155#2491C2212yescomplemented
156#2487C2212yescomplemented
157#2487C2212yescomplemented
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2476C2214yescomplemented
162#2476C2212yescomplemented
163#2474C2212yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2467C2214yescomplemented
167#2464C2214yescomplemented
168#2464C2214yescomplemented
169#2461C2214yescomplemented
170#2461C2214yescomplemented
171#2459C2212yescomplemented
172#2456C2212yescomplemented
173#2452C2212yescomplemented
174#2451C2211yescharacteristic, complemented
175#2449C2214yescomplemented
176#2448C2212yes—
177#2445C2211yescharacteristic
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2440C2212yescomplemented
181#2440C2212yescomplemented
182#2439C2211yescharacteristic, complemented
183#2437C2214yescomplemented
184#2433C2212yes—
185#2433C2212yes—
186#2431C2211yescharacteristic
187#2431C2212yescomplemented
188#2428C2212yes—
189#2428C2212yes—
190#2428C2214yescomplemented
191#2428C2212yescomplemented
192#2426C2211yescharacteristic
193#2426C2212yes—
194#2426C2212yescomplemented
195#2424C2214yes—
196#2424C2214yes—
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2423C2212yescomplemented
200#2423C2212yescomplemented
201#2422C2212yes—
202#2422C2212yescomplemented
203#2422C2212yescomplemented
204#2420C2211yescharacteristic, complemented
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2414C2211yescharacteristic
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2214yescomplemented
220#2414C2212yescomplemented
221#2411C2214yes—
222#2408C2212yes—
223#2408C2212yes—
224#2408C2212yes—
225#2408C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2211yescharacteristic, complemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2214yescomplemented
233#2388C2212yescomplemented
234#2379C2214yescomplemented
235#2375C2214yescomplemented
236#2373C2214yescomplemented
237#2372C2214yescomplemented
238#2367C2212yescomplemented
239#2366C2211yescharacteristic
240#2366C2212yescomplemented
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2211yescharacteristic, complemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2361C2212yes—
248#2361C2212yescomplemented
249#2361C2212yescomplemented
250#2358C2214yescomplemented
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic, complemented
253#2354C2212yescomplemented
254#2354C2211yescharacteristic, complemented
255Q8×C4⋊C4C2211yescharacteristic, complemented
256Q8×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2211yescharacteristic
258#2346C2212yescomplemented
259#2346C2212yescomplemented
260#2346C2212yescomplemented
261#2341C2211yescharacteristic
262#2341C2212yescomplemented
263#2341C2211yescharacteristic, complemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266#2328C2214yescomplemented
267#2328C2214yescomplemented
268#2324C2212yes—
269#2324C2212yescomplemented
270#2321C2214yescomplemented
271#2321C2214yescomplemented
272#2311C2212yescomplemented
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yescomplemented
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#123C2212yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289#2297C2212yescomplemented
290#2297C2212yescomplemented
291#2295C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2312yes—
306#554—48no—
307#553—48no—
308#550—28no—
309#550—44no—
310#550—48no—
311#546—48no—
312#546—48no—
313D42—44no—
314#542—48no—
315#538—416no—
316#537—48no—
317#535—216no—
318#532—44no—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2311yescharacteristic
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C4×#41—44no—
402C4×#41—44no—
403C4×#41—44no—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2312yes—
465C22×C42C2312yes—
466C22×C42C2312yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2312yes—
553#392C2312yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#382C2314yes—
749#382C2314yes—
750#382C2312yes—
751#382C2314yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822#376C2314yes—
823#376C2314yes—
824C43C2311yescharacteristic
825C43C2312yes—
826C25C2414yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—28no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—42no—
837C2×#41—42no—
838C2×#41—42no—
839C2×#41—42no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×Q8C2414yes—
846C22×D4—28no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C4⋊Q8—42no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906#127—216no—
907#127—28no—
908#127—24no—
909#127—24no—
910#127—42no—
911#127—44no—
912#127—48no—
913#127—44no—
914#126—216no—
915#126—48no—
916#126—48no—
917#125—44no—
918#125—48no—
919#124—28no—
920#124—24no—
921#124—216no—
922#124—44no—
923#124—48no—
924#124—48no—
925#124—48no—
926#123—28no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—24no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—48no—
939C22⋊Q8—48no—
940C22⋊Q8—48no—
941#121—28no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—24no—
946#121—28no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—42no—
960#121—44no—
961#121—44no—
962#121—42no—
963#121—42no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—48no—
976#121—48no—
977#121#4118yescomplemented
978#120—216no—
979#120—216no—
980#120—48no—
981#120—48no—
982#120—48no—
983#120—48no—
984#120—48no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—42no—
991C4×Q8—42no—
992C4×Q8—42no—
993C4×D4—24no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—28no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—48no—
1002C4×D4—44no—
1003C4×D4—48no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—42no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—48no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—48no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026#117—28no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030#117—44no—
1031#117—44no—
1032#117—44no—
1033#117—42no—
1034#117—42no—
1035#117—42no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C22⋊C4—48no—
1094C2×C22⋊C4—48no—
1095C2×C22⋊C4—48no—
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⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C42—24no—
1176C2×C42—24no—
1177C2×C42—44no—
1178C2×C42—44no—
1179C2×C42—44no—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255C24—28no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24C2512yes—
1263C24C2514yes—
1264C24C2511yescharacteristic
1265C24C2512yes—
1266C24C2512yes—
1267C24C2512yes—
1268C24C2511yescharacteristic
1269#41—416no—
1270#41—416no—
1271#41—416no—
1272#41—816no—
1273#41—816no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×Q8—44no—
1284C2×Q8H(5,𝔽2)14yes—
1285C2×Q8H(5,𝔽2)14yes—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—41no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—816no—
1378C2×D4—816no—
1379C2×D4C2×#4114yes—
1380C2×D4C2×#4118yes—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4C2×#4114yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2514yes—
1457C22×C4C2514yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—41no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4C2×#4114yes—
1521C4⋊C4H(5,𝔽2)14yes—
1522C22⋊C4—22no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4C2×#4118yes—
1601C42—28no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—24no—
1611C42—24no—
1612C42—22no—
1613C42—24no—
1614C42—28no—
1615C42—22no—
1616C42—24no—
1617C42—22no—
1618C42—28no—
1619C42—24no—
1620C42—24no—
1621C42—22no—
1622C42—42no—
1623C42—42no—
1624C42—42no—
1625C42—42no—
1626C42—42no—
1627C42—42no—
1628C42—41no—
1629C42—42no—
1630C42—44no—
1631C42H(5,𝔽2)14yes—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—21no—
1640C23—21no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—24no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—24no—
1664C23—21no—
1665C23—22no—
1666C23—22no—
1667C23—21no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—24no—
1673C23—22no—
1674C23—22no—
1675C23—24no—
1676C23—22no—
1677C23—21no—
1678C23—22no—
1679C23—88no—
1680C23—88no—
1681C23—88no—
1682C23—88no—
1683C23—88no—
1684C23—164no—
1685C23—164no—
1686C23C22×#4114yes—
1687C23C22×#4112yes—
1688C23C2611yescharacteristic
1689Q8—28no—
1690Q8—28no—
1691Q8—84no—
1692Q8—164no—
1693D4—28no—
1694D4—48no—
1695D4—44no—
1696D4—48no—
1697D4—48no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—44no—
1702D4—44no—
1703D4—48no—
1704D4—44no—
1705D4—84no—
1706D4—88no—
1707D4—84no—
1708D4—84no—
1709D4—84no—
1710D4—88no—
1711D4—84no—
1712D4—88no—
1713D4—88no—
1714D4—88no—
1715D4—84no—
1716D4—84no—
1717D4—84no—
1718D4—88no—
1719D4—164no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—28no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—48no—
1807C2×C4—84no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4—88no—
1811C2×C4—164no—
1812C2×C4—164no—
1813C2×C4—164no—
1814C2×C4C22×#4114yes—
1815C2×C4C22×#4112yes—
1816C2×C4C22×#4112yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)14yes—
1821C2×C4C2×H(5,𝔽2)14yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4C2×H(5,𝔽2)12yes—
1826C2×C4C2×H(5,𝔽2)12yes—
1827C2×C4#58512yes—
1828C22—22no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—22no—
1833C22—24no—
1834C22—41no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—41no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—41no—
1843C22—42no—
1844C22—42no—
1845C22—44no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—42no—
1851C22—44no—
1852C22—44no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—41no—
1874C22—42no—
1875C22—44no—
1876C22—42no—
1877C22—1616no—
1878C22C23×#4111yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C22×H(5,𝔽2)11yescharacteristic
1882C22C22×H(5,𝔽2)11yescharacteristic
1883C22C2×#58511yescharacteristic
1884C222−1+611yescharacteristic
1885C4—24no—
1886C4—22no—
1887C4—24no—
1888C4—22no—
1889C4—22no—
1890C4—22no—
1891C4—22no—
1892C4—24no—
1893C4—41no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—44no—
1899C4—44no—
1900C4—42no—
1901C4—42no—
1902C4—44no—
1903C4—42no—
1904C4—42no—
1905C4—41no—
1906C4—42no—
1907C4—41no—
1908C4—41no—
1909C4—42no—
1910C4—42no—
1911C4#351914yes—
1912C4#354214yes—
1913C2—42no—
1914C2—44no—
1915C2—81no—
1916C2—82no—
1917C2—82no—
1918C2—84no—
1919C2—82no—
1920C2C2×#354211yescharacteristic
1921C2C2×#351911yescharacteristic
1922C2#6280011yescharacteristic
1923C2#6291411yescharacteristic
1924C2#6292211yescharacteristic
1925C2#6298411yescharacteristic
1926C2#6304011yescharacteristic
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. #59650C2semidirect
2. #59412C2semidirect
3. #59399C2semidirect
4. #59314C2semidirect
5. #59233C2semidirect
6. #51965C2semidirect
7. #48462C2semidirect
8. #46338C2semidirect
9. #45609C2semidirect
10. #45079C2semidirect
11. #44886C2semidirect
12. #44312C2semidirect
13. #42923C2semidirect
14. #42736C2semidirect
15. #41256C2semidirect
16. #40150C2semidirect
17. #39957C2semidirect
18. #39433C2semidirect
19. #39401C2semidirect
20. #39342C2semidirect
21. #39191C2semidirect
22. #39169C2semidirect
23. #36455C2semidirect
24. #36410C2semidirect
25. #36381C2semidirect
26. #36312C2semidirect
27. #36258C2semidirect
28. #36182C2semidirect
29. #35273C2semidirect
30. #35198C2semidirect
31. #35007C2semidirect
32. #34976C2semidirect
33. #34715C2semidirect
34. #34415C2semidirect
35. C4×#550C2semidirect
36. C2×#554C22semidirect
37. C2×#553C22semidirect
40. C2×#550C22semidirect
44. C2×#542C22semidirect
45. C2×#538C22semidirect
46. C2×#537C22semidirect
50. C2×C4×#41C22semidirect
51. C2×C4×#41C22semidirect
53. #2860C22semidirect
54. #2859C22semidirect
55. #2858C22semidirect
56. #2857C22semidirect
60. #2856C22semidirect
62. #2854C22semidirect
63. #2832C22semidirect
64. #2828C22semidirect
65. #2795C22semidirect
66. #2785C22semidirect
67. #2783C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2720C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2711C22semidirect
75. #2711C22semidirect
76. #2706C22semidirect
77. #2706C22semidirect
78. #2696C22semidirect
79. #2696C22semidirect
80. #2692C22semidirect
81. #2685C22semidirect
82. #2685C22semidirect
83. #2681C22semidirect
85. #2676C22semidirect
86. #2676C22semidirect
87. #2676C22semidirect
88. #2676C22semidirect
89. #2676C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2671C22semidirect
95. #2669C22semidirect
96. #2669C22semidirect
97. #2668C22semidirect
98. #2662C22semidirect
99. #2662C22semidirect
100. #2661C22semidirect
101. #2661C22semidirect
102. #2641C22semidirect
103. #2635C22semidirect
104. #2624C22semidirect
105. #2620C22semidirect
107. #2610C22semidirect
108. #2609C22semidirect
109. #2602C22semidirect
110. #2582C22semidirect
111. #2574C22semidirect
112. #2566C22semidirect
113. #2566C22semidirect
114. #2563C22semidirect
115. #2563C22semidirect
116. #2560C22semidirect
117. #2558C22semidirect
118. #2555C22semidirect
119. #2554C22semidirect
120. #2553C22semidirect
121. #2551C22semidirect
126. #2541C22semidirect
127. #2541C22semidirect
128. #2540C22semidirect
129. #2539C22semidirect
132. #2538C22semidirect
133. #2538C22semidirect
136. #2537C22semidirect
137. #2537C22semidirect
138. #2537C22semidirect
140. #2531C22semidirect
141. #2529C22semidirect
142. #2526C22semidirect
143. #2519C22semidirect
144. #2512C22semidirect
145. #2512C22semidirect
146. #2508C22semidirect
147. #2506C22semidirect
148. #2504C22semidirect
149. #2500C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
154. #2491C22semidirect
155. #2491C22semidirect
156. #2487C22semidirect
157. #2487C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2476C22semidirect
162. #2476C22semidirect
163. #2474C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2467C22semidirect
167. #2464C22semidirect
168. #2464C22semidirect
169. #2461C22semidirect
170. #2461C22semidirect
171. #2459C22semidirect
172. #2456C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2449C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2440C22semidirect
181. #2440C22semidirect
182. #2439C22semidirect
183. #2437C22semidirect
187. #2431C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
194. #2426C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2420C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. #2388C22semidirect
234. #2379C22semidirect
235. #2375C22semidirect
236. #2373C22semidirect
237. #2372C22semidirect
238. #2367C22semidirect
240. #2366C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
248. #2361C22semidirect
249. #2361C22semidirect
250. #2358C22semidirect
252. #2354C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
255. Q8×C4⋊C4C22semidirect
256. Q8×C4⋊C4C22semidirect
258. #2346C22semidirect
259. #2346C22semidirect
260. #2346C22semidirect
262. #2341C22semidirect
263. #2341C22semidirect
266. #2328C22semidirect
267. #2328C22semidirect
269. #2324C22semidirect
270. #2321C22semidirect
271. #2321C22semidirect
272. #2311C22semidirect
275. C4×#127C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2297C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
977. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596502
#594122
#593992
#593142
#592332
#519652
#484622
#463382
#456092
#450792
#448862
#443122
#429232
#427362
#412562
#401502
#399572
#394332
#394012
#393422
#391912
#391692
#364552
#364102
#363812
#363122
#362582
#361822
#352732
#351982
#350072
#349762
#347152
#344152
C4×#5502