Finite Group Databasebeta

← #7713061

Subgroups — #7713061

Order 512.

7244 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3534C211yesmaximal, characteristic, complemented
2C22×#539C211yesmaximal, characteristic, complemented
3#48789C214yesmaximal, complemented
4#47876C214yesmaximal, complemented
5#47870C214yesmaximal, complemented
6#47843C214yesmaximal, complemented
7#46834C214yesmaximal, complemented
8#46821C214yesmaximal, complemented
9#46376C214yesmaximal, complemented
10#46362C214yesmaximal, complemented
11#39716C212yesmaximal, complemented
12#39338C212yesmaximal, complemented
13#39134C212yesmaximal, complemented
14#38901C212yesmaximal, complemented
15#38022C212yesmaximal, complemented
16#38021C212yesmaximal, complemented
17#37654C212yesmaximal, complemented
18#37654C212yesmaximal, complemented
19#37451C211yesmaximal, characteristic, complemented
20#37442C211yesmaximal, characteristic, complemented
21#36969C211yesmaximal, characteristic, complemented
22#36968C211yesmaximal, characteristic, complemented
23#36960C211yesmaximal, characteristic, complemented
24#36958C211yesmaximal, characteristic, complemented
25#35223C211yesmaximal, characteristic, complemented
26#35091C211yesmaximal, characteristic, complemented
27#35031C211yesmaximal, characteristic, complemented
28#35000C211yesmaximal, characteristic, complemented
29#34989C211yesmaximal, characteristic, complemented
30#34984C211yesmaximal, characteristic, complemented
31#34376C211yesmaximal, characteristic, complemented
32#3534—216no—
33C2×#562C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553C2212yes—
36C2×#551C2212yescomplemented
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yescomplemented
40C2×D42C2212yes—
41C2×#540C2212yescomplemented
42C2×#539—216no—
43C2×#539C2211yescharacteristic
44C2×#539C2212yescomplemented
45C2×#539C2214yescomplemented
46C2×#539C2214yescomplemented
47C2×#539C2214yescomplemented
48C2×#539C2214yescomplemented
49C2×#538C2211yescharacteristic
50C2×#538C2212yescomplemented
51C2×#537C2211yescharacteristic
52C2×#534C2211yescharacteristic
53C2×#534C2212yescomplemented
54C2×#534C2212yescomplemented
55C2×#534C2212yescomplemented
56C22×#126C2211yescharacteristic, complemented
57C22×#126C2211yescharacteristic, complemented
58C22×#125C2211yescharacteristic, complemented
59C22×#125C2211yescharacteristic, complemented
60C2×#525C2211yescharacteristic
61C2×#525C2212yescomplemented
62C22×#123C2211yescharacteristic
63C22×#123C2211yescharacteristic
64C22×#123C2211yescharacteristic, complemented
65C22×#123C2211yescharacteristic, complemented
66C22×C22⋊Q8C2211yescharacteristic, complemented
67C22×C22⋊Q8C2211yescharacteristic, complemented
68C22×C22⋊Q8C2211yescharacteristic, complemented
69C22×#121C2211yescharacteristic
70C22×#121C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74#2855C2211yescharacteristic, complemented
75#2854C2211yescharacteristic
76#2854C2211yescharacteristic, complemented
77#2854C2211yescharacteristic, complemented
78#2854C2212yescomplemented
79#2849C2212yescomplemented
80#2849C2212yescomplemented
81#2848C2211yescharacteristic, complemented
82#2847C2211yescharacteristic
83#2847C2211yescharacteristic, complemented
84#2847C2212yescomplemented
85#2847C2211yescharacteristic, complemented
86#2816C2212yescomplemented
87#2816C2212yescomplemented
88#2814C2214yescomplemented
89#2726C2214yescomplemented
90#2725C2214yescomplemented
91#2722C2214yescomplemented
92#2721C2214yescomplemented
93#2721C2214yescomplemented
94#2720C2214yescomplemented
95#2720C2214yescomplemented
96#2718C2214yescomplemented
97#2718C2214yescomplemented
98#2715C2214yescomplemented
99#2711C2214yescomplemented
100#2711C2214yescomplemented
101#2709C2214yescomplemented
102#2708C2214yescomplemented
103#2707C2214yescomplemented
104#2704C2214yescomplemented
105#2702C2214yescomplemented
106#2701C2214yescomplemented
107#2700C2214yescomplemented
108#2697C2214yescomplemented
109#2695C2214yescomplemented
110#2695C2214yescomplemented
111#2694C2214yescomplemented
112#2694C2214yescomplemented
113#2691C2214yescomplemented
114#2691C2214yescomplemented
115#2690C2214yescomplemented
116#2689C2214yescomplemented
117#2687C2214yescomplemented
118#2685C2214yescomplemented
119#2685C2214yescomplemented
120#2685C2214yescomplemented
121#2681C2214yescomplemented
122#2681C2214yescomplemented
123#2680C2214yescomplemented
124#2680C2214yescomplemented
125#2678C2214yescomplemented
126#2678C2214yescomplemented
127#2676C2214yescomplemented
128#2672C2214yescomplemented
129#2672C2214yescomplemented
130#2672C2214yescomplemented
131#2671C2214yes—
132#2671C2214yescomplemented
133#2671C2214yescomplemented
134#2671C2214yescomplemented
135#2668C2214yes—
136#2668C2214yescomplemented
137#2659C2212yescomplemented
138#2639C2212yescomplemented
139#2627C2211yescharacteristic, complemented
140#2627C2211yescharacteristic, complemented
141#2626C2214yescomplemented
142#2625C2212yescomplemented
143#2623C2212yescomplemented
144#2622C2212yescomplemented
145#2620C2214yescomplemented
146#2618C2211yescharacteristic
147#2618C2211yescharacteristic
148#2618C2211yescharacteristic, complemented
149#2618C2211yescharacteristic, complemented
150#2618C2211yescharacteristic, complemented
151#2618C2211yescharacteristic, complemented
152#2618C2212yescomplemented
153#2618C2212yescomplemented
154#2617C2212yescomplemented
155#2617C2212yescomplemented
156#2616C2212yescomplemented
157#2613C2212yescomplemented
158#2613C2212yescomplemented
159#2602C2214yescomplemented
160#2600C2214yescomplemented
161#2591C2212yescomplemented
162#2591C2212yescomplemented
163#2579C2212yescomplemented
164#2579C2212yescomplemented
165#2560C2214yescomplemented
166#2559C2214yescomplemented
167#2552C2214yescomplemented
168#2549C2214yescomplemented
169#2543C2214yescomplemented
170#2537C2214yescomplemented
171#2534C2214yescomplemented
172#2534C2214yescomplemented
173#2521C2214yescomplemented
174#2502C2212yescomplemented
175#2501C2212yescomplemented
176#2501C2212yescomplemented
177#2501C2212yescomplemented
178#2490C2214yescomplemented
179#2486C2212yescomplemented
180#2486C2212yescomplemented
181#2486C2212yescomplemented
182#2486C2212yescomplemented
183#2485C2212yescomplemented
184#2481C2214yescomplemented
185#2480C2214yescomplemented
186#2477C2214yescomplemented
187#2473C2214yescomplemented
188#2472C2214yescomplemented
189#2468C2214yescomplemented
190#2468C2214yescomplemented
191#2464C2214yescomplemented
192#2464C2214yescomplemented
193#2464C2214yescomplemented
194#2463C2214yescomplemented
195#2461C2214yescomplemented
196#2461C2214yescomplemented
197#2457C2214yescomplemented
198#2455C2214yescomplemented
199#2455C2214yescomplemented
200#2454C2214yescomplemented
201#2450C2214yescomplemented
202#2449C2214yescomplemented
203#2443C2214yescomplemented
204#2441C2214yescomplemented
205#2437C2214yescomplemented
206#2436C2212yescomplemented
207#2435C2212yescomplemented
208#2428C2214yescomplemented
209#2425C2214yescomplemented
210#2425C2214yescomplemented
211#2425C2214yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2422C2214yescomplemented
215#2422C2214yescomplemented
216#2422C2214yescomplemented
217#2419C2214yescomplemented
218#2418C2214yescomplemented
219#2418C2214yescomplemented
220#2417C2214yescomplemented
221#2417C2214yescomplemented
222#2417C2214yescomplemented
223#2416C2214yescomplemented
224#2416C2214yescomplemented
225#2416C2212yescomplemented
226#2416C2212yescomplemented
227#2415C2212yescomplemented
228#2414C2212yescomplemented
229#2413C2212yescomplemented
230#2413C2212yescomplemented
231#2412C2212yescomplemented
232#2412C2212yescomplemented
233#2412C2212yescomplemented
234#2412C2212yescomplemented
235#2409C2212yescomplemented
236#2408C2212yescomplemented
237#2408C2214yescomplemented
238#2407C2212yescomplemented
239#2406C2212yescomplemented
240#2406C2212yescomplemented
241#2405C2212yescomplemented
242#2405C2212yescomplemented
243#2405C2214yescomplemented
244#2405C2212yescomplemented
245#2405C2212yescomplemented
246#2376C2214yescomplemented
247#2359C2214yescomplemented
248#2345C2212yescomplemented
249#2342C2212yescomplemented
250#2342C2212yescomplemented
251D4×C22⋊C4C2212yes—
252#2335C2214yescomplemented
253#2322C2214yescomplemented
254#2322C2212yescomplemented
255#2322C2212yescomplemented
256#2321C2212yescomplemented
257#2321C2212yescomplemented
258#2316C2211yescharacteristic, complemented
259#2315C2211yescharacteristic, complemented
260#2313C2211yescharacteristic, complemented
261#2312C2211yescharacteristic, complemented
262#2311C2212yescomplemented
263#2308C2212yescomplemented
264C4×#123C2212yescomplemented
265C4×#120C2212yescomplemented
266C2×#386C2212yescomplemented
267#2280C2211yescharacteristic, complemented
268C2×#380C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C23×Q8C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284#562—216no—
285#560—216no—
286#553—216no—
287#551—216no—
288#546—216no—
289#546—216no—
290#546—216no—
291D42—216no—
292#540—216no—
293#539—232no—
294#539—232no—
295#539—232no—
296#539—232no—
297#539—216no—
298#539—28no—
299#538—216no—
300#538—28no—
301#537—28no—
302#534—216no—
303#534—28no—
304#534—48no—
305#534—48no—
306C2×#127C2312yes—
307C2×#126—28no—
308C2×#126—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#125—28no—
318C2×#125—28no—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329#525—28no—
330#525—48no—
331C2×#123—28no—
332C2×#123—28no—
333C2×#123—28no—
334C2×#123D4116yescomplemented
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2312yes—
367C2×C22⋊Q8—28no—
368C2×C22⋊Q8—28no—
369C2×C22⋊Q8—28no—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×#121—28no—
389C2×#121—28no—
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2311yescharacteristic
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#120C2312yes—
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430C2×#120C2312yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×C4×D4—28no—
436C2×C4×D4—28no—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×#117C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C22×C4⋊C4—28no—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2314yes—
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2312yes—
489C22×C22⋊C4C2312yes—
490C22×C22⋊C4C2314yes—
491C22×C22⋊C4C2311yescharacteristic
492C22×C22⋊C4C2311yescharacteristic
493C22×C22⋊C4C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2311yescharacteristic
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2312yes—
500#400C2312yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#398C2314yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2314yes—
514#398C2312yes—
515#398C2312yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#395C2312yes—
553#395C2312yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2312yes—
603#391C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#384C2314yes—
723#384C2314yes—
724#384C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#379C2314yes—
757#379C2312yes—
758#379C2312yes—
759#379C2312yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C2×#95C2312yes—
775C2×#95C2314yes—
776C25C2411yescharacteristic
777C25C2411yescharacteristic
778C25C2411yescharacteristic
779C25C2412yes—
780C25C2412yes—
781C2×#41—24no—
782C2×#41—28no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—82no—
786C22×Q8—24no—
787C22×Q8—82no—
788C22×Q8C2412yes—
789C22×Q8C2412yes—
790C22×Q8C2412yes—
791C22×Q8C2411yescharacteristic
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—24no—
796C22×D4—28no—
797C22×D4—28no—
798C22×D4—28no—
799C22×D4—24no—
800C22×D4—42no—
801C22×D4—42no—
802C22×D4—44no—
803C22×D4—44no—
804C22×D4—44no—
805C22×D4—44no—
806C22×D4—82no—
807C22×D4—82no—
808C22×D4—84no—
809C22×D4C2×D418yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—42no—
842C23×C4—82no—
843C23×C4—82no—
844C23×C4—82no—
845C23×C4—82no—
846C23×C4C2×D418yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877#127—28no—
878#126—28no—
879#126—28no—
880#126—28no—
881#126—216no—
882#126—216no—
883#126—216no—
884#126—216no—
885#126—28no—
886#125—216no—
887#125—216no—
888#125—216no—
889#125—216no—
890#125—28no—
891#125—28no—
892#124—28no—
893#124—28no—
894#124—28no—
895#124—84no—
896#123—216no—
897#123—216no—
898#123—28no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—216no—
904#123—216no—
905#123—216no—
906#123—216no—
907#123—28no—
908#123—28no—
909#123—28no—
910#123—28no—
911#123—28no—
912#123—48no—
913#123—48no—
914#123—44no—
915#123—44no—
916#123—44no—
917#123—44no—
918#123—44no—
919#123—44no—
920#123—44no—
921#123—44no—
922#123—44no—
923#123—84no—
924#123C2×D4116yes—
925#123C2×D4116yes—
926#123C2×D4116yes—
927#123C2×D4116yes—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—28no—
932C22⋊Q8—24no—
933C22⋊Q8—24no—
934C22⋊Q8—216no—
935C22⋊Q8—216no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—28no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—48no—
944C22⋊Q8—84no—
945C22⋊Q8—82no—
946#121—216no—
947#121—216no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—24no—
952#121—24no—
953#121—24no—
954#121—24no—
955#121—28no—
956#121—28no—
957#121—24no—
958#121—24no—
959#121—28no—
960#121—28no—
961#121—28no—
962#121—28no—
963#121—28no—
964#121—28no—
965#121—28no—
966#121—28no—
967#121—28no—
968#121—28no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—82no—
975#121—82no—
976#121—84no—
977#121—82no—
978#120—28no—
979#120—28no—
980#120—28no—
981#120—28no—
982#120—28no—
983#120—28no—
984#120—28no—
985#120—28no—
986#120—28no—
987#120—28no—
988#120—28no—
989#120—48no—
990#120—48no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—216no—
1002C4×D4—216no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—48no—
1006C4×D4—48no—
1007C4×D4—84no—
1008C4×D4—84no—
1009#117—24no—
1010#117—28no—
1011#117—44no—
1012#117—82no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—24no—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—24no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—24no—
1026C2×C4⋊C4—216no—
1027C2×C4⋊C4—216no—
1028C2×C4⋊C4—82no—
1029C2×C4⋊C4C2×D418yes—
1030C2×C4⋊C4C2×D418yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C22⋊C4—24no—
1086C2×C22⋊C4—24no—
1087C2×C22⋊C4—24no—
1088C2×C22⋊C4—24no—
1089C2×C22⋊C4—24no—
1090C2×C22⋊C4—24no—
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—28no—
1093C2×C22⋊C4—28no—
1094C2×C22⋊C4—28no—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—84no—
1098C2×C22⋊C4C2×D418yes—
1099C2×C22⋊C4C2×D418yes—
1100C2×C22⋊C4C2×D418yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C42—24no—
1174C2×C42—24no—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—24no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—44no—
1234C24—42no—
1235C24—44no—
1236C24—44no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—44no—
1241C24C22×D414yes—
1242C24C22×D414yes—
1243C24H(5,𝔽2)14yes—
1244C24C2512yes—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2511yescharacteristic
1248C24C2512yes—
1249C24C2511yescharacteristic
1250C24C2512yes—
1251C24C2511yescharacteristic
1252#41—816no—
1253#41—88no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—22no—
1257C2×Q8—24no—
1258C2×Q8—42no—
1259C2×Q8—44no—
1260C2×Q8—42no—
1261C2×Q8—44no—
1262C2×Q8—42no—
1263C2×Q8—88no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—416no—
1329C2×D4—416no—
1330C2×D4—88no—
1331C2×D4—88no—
1332C2×D4—816no—
1333C2×D4—816no—
1334C2×D4—816no—
1335C2×D4C22×D418yes—
1336C2×D4C22×D418yes—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—28no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—28no—
1356C22×C4—28no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—28no—
1364C22×C4—24no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—416no—
1404C22×C4—88no—
1405C22×C4—88no—
1406C22×C4—88no—
1407C22×C4—88no—
1408C22×C4C22×D414yes—
1409C22×C4C22×D414yes—
1410C22×C4C22×D414yes—
1411C22×C4C22×D414yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D414yes—
1414C22×C4C22×D414yes—
1415C22×C4C22×D414yes—
1416C22×C4C22×D414yes—
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2514yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4C22×D418yes—
1491C4⋊C4C22×D418yes—
1492C4⋊C4C22×D418yes—
1493C4⋊C4C22×D418yes—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4C22×D418yes—
1561C22⋊C4C22×D418yes—
1562C22⋊C4C22×D418yes—
1563C22⋊C4C22×D418yes—
1564C22⋊C4C22×D418yes—
1565C22⋊C4C22×D418yes—
1566C42—24no—
1567C42—24no—
1568C42—28no—
1569C42—24no—
1570C42—24no—
1571C42—24no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—22no—
1596C23—28no—
1597C23—28no—
1598C23—28no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—24no—
1610C23—24no—
1611C23—24no—
1612C23—24no—
1613C23—24no—
1614C23—48no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—48no—
1622C23—48no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—88no—
1633C23—164no—
1634C23—164no—
1635C23—164no—
1636C23C23×D412yes—
1637C23C23×D412yes—
1638C23C23×D414yes—
1639C23C23×D412yes—
1640C23C2×H(5,𝔽2)14yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23#58512yes—
1643C23C2611yescharacteristic
1644Q8—84no—
1645Q8—84no—
1646Q8—84no—
1647Q8—82no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—416no—
1652D4—48no—
1653D4—48no—
1654D4—48no—
1655D4—48no—
1656D4—48no—
1657D4—84no—
1658D4—82no—
1659D4—82no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—82no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—88no—
1668D4—88no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—28no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—416no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—84no—
1751C2×C4—88no—
1752C2×C4—84no—
1753C2×C4—84no—
1754C2×C4—164no—
1755C2×C4—164no—
1756C2×C4C23×D414yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D412yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D412yes—
1762C2×C4C23×D414yes—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—24no—
1767C22—24no—
1768C22—22no—
1769C22—24no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—24no—
1774C22—22no—
1775C22—24no—
1776C22—22no—
1777C22—24no—
1778C22—24no—
1779C22—416no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—44no—
1802C22—44no—
1803C22—44no—
1804C22—44no—
1805C22—88no—
1806C22—88no—
1807C22—168no—
1808C22—168no—
1809C22#348814yes—
1810C22C24×D411yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22H(7,𝔽2)12yes—
1814C222−1+612yes—
1815C4—24no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—24no—
1821C4—24no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—44no—
1836C4—44no—
1837C4—44no—
1838C2—24no—
1839C2—44no—
1840C2—42no—
1841C2—44no—
1842C2—42no—
1843C2—82no—
1844C2—82no—
1845C2—82no—
1846C2C2×#348811yescharacteristic
1847C2#6284211yescharacteristic
1848C2#6285911yescharacteristic
1849C2#6286612yes—
1850C2#6286812yes—
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. C2×#3534C2semidirect
2. C22×#539C2semidirect
3. #48789C2semidirect
4. #47876C2semidirect
5. #47870C2semidirect
6. #47843C2semidirect
7. #46834C2semidirect
8. #46821C2semidirect
9. #46376C2semidirect
10. #46362C2semidirect
11. #39716C2semidirect
12. #39338C2semidirect
13. #39134C2semidirect
14. #38901C2semidirect
15. #38022C2semidirect
16. #38021C2semidirect
17. #37654C2semidirect
18. #37654C2semidirect
19. #37451C2semidirect
20. #37442C2semidirect
21. #36969C2semidirect
22. #36968C2semidirect
23. #36960C2semidirect
24. #36958C2semidirect
25. #35223C2semidirect
26. #35091C2semidirect
27. #35031C2semidirect
28. #35000C2semidirect
29. #34989C2semidirect
30. #34984C2semidirect
31. #34376C2semidirect
33. C2×#562C22semidirect
34. C2×#560C22semidirect
36. C2×#551C22semidirect
39. C2×#546C22semidirect
41. C2×#540C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
46. C2×#539C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
50. C2×#538C22semidirect
53. C2×#534C22semidirect
54. C2×#534C22semidirect
55. C2×#534C22semidirect
56. C22×#126C22semidirect
57. C22×#126C22semidirect
58. C22×#125C22semidirect
59. C22×#125C22semidirect
61. C2×#525C22semidirect
64. C22×#123C22semidirect
65. C22×#123C22semidirect
66. C22×C22⋊Q8C22semidirect
67. C22×C22⋊Q8C22semidirect
68. C22×C22⋊Q8C22semidirect
71. C22×C4×D4C22semidirect
72. C22×C4×D4C22semidirect
73. C23×C4⋊C4C22semidirect
74. #2855C22semidirect
76. #2854C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
79. #2849C22semidirect
80. #2849C22semidirect
81. #2848C22semidirect
83. #2847C22semidirect
84. #2847C22semidirect
85. #2847C22semidirect
86. #2816C22semidirect
87. #2816C22semidirect
88. #2814C22semidirect
89. #2726C22semidirect
90. #2725C22semidirect
91. #2722C22semidirect
92. #2721C22semidirect
93. #2721C22semidirect
94. #2720C22semidirect
95. #2720C22semidirect
96. #2718C22semidirect
97. #2718C22semidirect
98. #2715C22semidirect
99. #2711C22semidirect
100. #2711C22semidirect
101. #2709C22semidirect
102. #2708C22semidirect
103. #2707C22semidirect
104. #2704C22semidirect
105. #2702C22semidirect
106. #2701C22semidirect
107. #2700C22semidirect
108. #2697C22semidirect
109. #2695C22semidirect
110. #2695C22semidirect
111. #2694C22semidirect
112. #2694C22semidirect
113. #2691C22semidirect
114. #2691C22semidirect
115. #2690C22semidirect
116. #2689C22semidirect
117. #2687C22semidirect
118. #2685C22semidirect
119. #2685C22semidirect
120. #2685C22semidirect
121. #2681C22semidirect
122. #2681C22semidirect
123. #2680C22semidirect
124. #2680C22semidirect
125. #2678C22semidirect
126. #2678C22semidirect
127. #2676C22semidirect
128. #2672C22semidirect
129. #2672C22semidirect
130. #2672C22semidirect
132. #2671C22semidirect
133. #2671C22semidirect
134. #2671C22semidirect
136. #2668C22semidirect
137. #2659C22semidirect
138. #2639C22semidirect
139. #2627C22semidirect
140. #2627C22semidirect
141. #2626C22semidirect
142. #2625C22semidirect
143. #2623C22semidirect
144. #2622C22semidirect
145. #2620C22semidirect
148. #2618C22semidirect
149. #2618C22semidirect
150. #2618C22semidirect
151. #2618C22semidirect
152. #2618C22semidirect
153. #2618C22semidirect
154. #2617C22semidirect
155. #2617C22semidirect
156. #2616C22semidirect
157. #2613C22semidirect
158. #2613C22semidirect
159. #2602C22semidirect
160. #2600C22semidirect
161. #2591C22semidirect
162. #2591C22semidirect
163. #2579C22semidirect
164. #2579C22semidirect
165. #2560C22semidirect
166. #2559C22semidirect
167. #2552C22semidirect
168. #2549C22semidirect
169. #2543C22semidirect
170. #2537C22semidirect
171. #2534C22semidirect
172. #2534C22semidirect
173. #2521C22semidirect
174. #2502C22semidirect
175. #2501C22semidirect
176. #2501C22semidirect
177. #2501C22semidirect
178. #2490C22semidirect
179. #2486C22semidirect
180. #2486C22semidirect
181. #2486C22semidirect
182. #2486C22semidirect
183. #2485C22semidirect
184. #2481C22semidirect
185. #2480C22semidirect
186. #2477C22semidirect
187. #2473C22semidirect
188. #2472C22semidirect
189. #2468C22semidirect
190. #2468C22semidirect
191. #2464C22semidirect
192. #2464C22semidirect
193. #2464C22semidirect
194. #2463C22semidirect
195. #2461C22semidirect
196. #2461C22semidirect
197. #2457C22semidirect
198. #2455C22semidirect
199. #2455C22semidirect
200. #2454C22semidirect
201. #2450C22semidirect
202. #2449C22semidirect
203. #2443C22semidirect
204. #2441C22semidirect
205. #2437C22semidirect
206. #2436C22semidirect
207. #2435C22semidirect
208. #2428C22semidirect
209. #2425C22semidirect
210. #2425C22semidirect
211. #2425C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2419C22semidirect
218. #2418C22semidirect
219. #2418C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2416C22semidirect
224. #2416C22semidirect
225. #2416C22semidirect
226. #2416C22semidirect
227. #2415C22semidirect
228. #2414C22semidirect
229. #2413C22semidirect
230. #2413C22semidirect
231. #2412C22semidirect
232. #2412C22semidirect
233. #2412C22semidirect
234. #2412C22semidirect
235. #2409C22semidirect
236. #2408C22semidirect
237. #2408C22semidirect
238. #2407C22semidirect
239. #2406C22semidirect
240. #2406C22semidirect
241. #2405C22semidirect
242. #2405C22semidirect
243. #2405C22semidirect
244. #2405C22semidirect
245. #2405C22semidirect
246. #2376C22semidirect
247. #2359C22semidirect
248. #2345C22semidirect
249. #2342C22semidirect
250. #2342C22semidirect
252. #2335C22semidirect
253. #2322C22semidirect
254. #2322C22semidirect
255. #2322C22semidirect
256. #2321C22semidirect
257. #2321C22semidirect
258. #2316C22semidirect
259. #2315C22semidirect
260. #2313C22semidirect
261. #2312C22semidirect
262. #2311C22semidirect
263. #2308C22semidirect
264. C4×#123C22semidirect
265. C4×#120C22semidirect
266. C2×#386C22semidirect
267. #2280C22semidirect
268. C2×#380C22semidirect
334. C2×#123D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35342
C22×#5392
#487892
#478762
#478702
#478432
#468342
#468212
#463762
#463622
#397162
#393382
#391342
#389012
#380222
#380212
#376542
#374512
#374422
#369692
#369682
#369602
#369582
#352232
#350912
#350312
#350002
#349892
#349842
#343762