Finite Group Databasebeta

← #7718466

Subgroups — #7718466

Order 512.

7650 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3537C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#51894C214yesmaximal, complemented
4#51890C214yesmaximal, complemented
5#51779C214yesmaximal, complemented
6#51775C214yesmaximal, complemented
7#43911C214yesmaximal, complemented
8#43526C214yesmaximal, complemented
9#43102C214yesmaximal, complemented
10#43022C214yesmaximal, complemented
11#39717C212yesmaximal, complemented
12#39129C212yesmaximal, complemented
13#38022C212yesmaximal, complemented
14#38020C212yesmaximal, complemented
15#37646C212yesmaximal, complemented
16#37646C212yesmaximal, complemented
17#36969C211yesmaximal, characteristic, complemented
18#36960C211yesmaximal, characteristic, complemented
19#36721C211yesmaximal, characteristic, complemented
20#36709C211yesmaximal, characteristic, complemented
21#36236C212yesmaximal, complemented
22D4×#123C212yesmaximal, complemented
23#35093C211yesmaximal, characteristic, complemented
24#35091C211yesmaximal, characteristic, complemented
25#35089C211yesmaximal, characteristic, complemented
26#35077C211yesmaximal, characteristic, complemented
27#35076C211yesmaximal, characteristic, complemented
28#35057C211yesmaximal, characteristic, complemented
29#34984C211yesmaximal, characteristic, complemented
30C2×#2618C211yesmaximal, characteristic, complemented
31#34379C211yesmaximal, characteristic, complemented
32#3537—216no—
33C2×#560C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553—216no—
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#553C2214yescomplemented
39C2×#553C2214yescomplemented
40C2×#553C2214yescomplemented
41C2×#553C2214yescomplemented
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×D42C2212yes—
45C2×D42C2212yescomplemented
46C2×#540C2212yescomplemented
47C2×#538C2211yescharacteristic
48C2×#538C2211yescharacteristic
49C2×#538C2212yescomplemented
50C2×#535C2212yescomplemented
51C2×#534C2211yescharacteristic
52C2×#534C2211yescharacteristic
53C2×#534C2212yescomplemented
54C2×#534C2212yescomplemented
55C22×#126C2211yescharacteristic, complemented
56C22×#126C2211yescharacteristic, complemented
57C22×#125C2211yescharacteristic, complemented
58C2×#525C2211yescharacteristic
59C22×#123C2211yescharacteristic, complemented
60C22×#123C2211yescharacteristic, complemented
61C22×#123C2212yescomplemented
62C22×#123C2212yescomplemented
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic, complemented
67C22×#121C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic, complemented
69C22×C4×D4C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74#2855C2211yescharacteristic, complemented
75#2854C2211yescharacteristic, complemented
76#2854C2211yescharacteristic, complemented
77#2854C2211yescharacteristic, complemented
78#2854C2212yescomplemented
79#2854C2212yescomplemented
80#2849C2212yescomplemented
81#2849C2212yescomplemented
82#2849C2212yescomplemented
83#2849C2212yescomplemented
84#2848C2211yescharacteristic, complemented
85#2847C2211yescharacteristic, complemented
86#2847C2211yescharacteristic, complemented
87#2847C2211yescharacteristic, complemented
88#2727C2214yescomplemented
89#2725C2214yescomplemented
90#2722C2214yescomplemented
91#2721C2214yescomplemented
92#2719C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2715C2214yescomplemented
96#2714C2214yescomplemented
97#2711C2214yescomplemented
98#2709C2214yescomplemented
99#2708C2214yescomplemented
100#2707C2214yescomplemented
101#2706C2214yescomplemented
102#2706C2214yescomplemented
103#2705C2214yescomplemented
104#2701C2214yescomplemented
105#2699C2214yescomplemented
106#2697C2214yescomplemented
107#2695C2214yescomplemented
108#2695C2214yescomplemented
109#2693C2214yescomplemented
110#2691C2214yescomplemented
111#2688C2214yescomplemented
112#2685C2214yescomplemented
113#2685C2214yescomplemented
114#2682C2214yescomplemented
115#2682C2214yescomplemented
116#2678C2214yescomplemented
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2678C2214yescomplemented
120#2678C2214yescomplemented
121#2673C2214yescomplemented
122#2673C2214yescomplemented
123#2673C2214yescomplemented
124#2672C2214yescomplemented
125#2671C2214yescomplemented
126#2671C2214yescomplemented
127#2671C2214yescomplemented
128#2635C2214yescomplemented
129#2630C2214yescomplemented
130#2627C2211yescharacteristic, complemented
131#2627C2211yescharacteristic, complemented
132#2622C2212yescomplemented
133#2618C2212yescomplemented
134#2618C2212yescomplemented
135#2618C2211yescharacteristic, complemented
136#2618C2211yescharacteristic, complemented
137#2618C2211yescharacteristic, complemented
138#2618C2212yescomplemented
139#2618C2212yescomplemented
140#2618C2211yescharacteristic, complemented
141#2618C2211yescharacteristic, complemented
142#2618C2211yescharacteristic, complemented
143#2618C2212yescomplemented
144#2618C2214yescomplemented
145#2617C2212yescomplemented
146#2613C2212yescomplemented
147#2591C2212yescomplemented
148#2591C2212yescomplemented
149#2591C2212yescomplemented
150#2583C2212yescomplemented
151#2579C2212yescomplemented
152#2579C2214yescomplemented
153#2579C2212yescomplemented
154#2558C2214yescomplemented
155#2554C2214yescomplemented
156#2543C2214yescomplemented
157#2539C2212yescomplemented
158#2539C2212yescomplemented
159#2534C2212yescomplemented
160#2534C2212yescomplemented
161#2534C2214yescomplemented
162#2519C2214yescomplemented
163#2512C2214yescomplemented
164#2504C2212yescomplemented
165#2501C2212yescomplemented
166#2487C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2484C2212yescomplemented
171#2479C2214yescomplemented
172#2478C2214yescomplemented
173#2476C2214yescomplemented
174#2475C2214yescomplemented
175#2474C2214yescomplemented
176#2470C2214yescomplemented
177#2468C2214yescomplemented
178#2467C2214yescomplemented
179#2464C2214yescomplemented
180#2461C2214yescomplemented
181#2460C2214yescomplemented
182#2457C2214yescomplemented
183#2445C2214yescomplemented
184#2445C2214yescomplemented
185#2444C2214yescomplemented
186#2444C2214yescomplemented
187#2444C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2443C2214yescomplemented
191#2443C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2425C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2422C2214yescomplemented
201#2420C2214yescomplemented
202#2419C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2214yescomplemented
210#2416C2214yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2413C2214yescomplemented
214#2413C2214yescomplemented
215#2413C2214yescomplemented
216#2412C2212yescomplemented
217#2412C2212yescomplemented
218#2412C2212yescomplemented
219#2412C2212yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2410C2212yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2212yescomplemented
226#2410C2214yescomplemented
227#2408C2212yescomplemented
228#2407C2212yescomplemented
229#2406C2212yescomplemented
230#2405C2212yescomplemented
231#2405C2212yescomplemented
232#2405C2212yescomplemented
233#2405C2214yescomplemented
234#2405C2212yescomplemented
235#2403C2212yescomplemented
236#2403C2212yescomplemented
237C2×#398C2212yescomplemented
238C2×#396C2214yescomplemented
239C2×#394C2212yescomplemented
240#2377C2214yescomplemented
241#2361C2214yescomplemented
242#2349C2214yescomplemented
243D4×C4⋊C4C2214yescomplemented
244#2345C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2214yescomplemented
248D4×C22⋊C4C2214yescomplemented
249D4×C22⋊C4C2212yescomplemented
250#2325C2214yescomplemented
251#2325C2214yescomplemented
252#2324C2214yescomplemented
253#2322C2212yescomplemented
254#2322C2212yescomplemented
255#2322C2212yescomplemented
256#2321C2214yescomplemented
257#2321C2212yescomplemented
258#2315C2211yescharacteristic, complemented
259#2315C2211yescharacteristic, complemented
260#2312C2211yescharacteristic, complemented
261#2312C2211yescharacteristic, complemented
262#2308C2212yescomplemented
263C4×#123C2212yescomplemented
264C4×#123C2212yescomplemented
265C2×#386C2212yescomplemented
266C2×#386C2212yescomplemented
267#2280C2211yescharacteristic, complemented
268C2×#380C2211yescharacteristic, complemented
269C22×#41C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C23×D4C2312yes—
280C23×D4C2311yescharacteristic
281C23×D4C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284C24×C4C2311yescharacteristic
285C24×C4C2311yescharacteristic
286C24×C4C2311yescharacteristic
287C24×C4C2311yescharacteristic
288C24×C4C2311yescharacteristic
289#560—216no—
290#560—216no—
291#553—232no—
292#553—232no—
293#553—232no—
294#553—232no—
295#553—216no—
296#553—216no—
297D42—216no—
298D42—216no—
299D42—216no—
300D42—216no—
301#540—216no—
302#538—216no—
303#538—28no—
304#538—28no—
305#535—216no—
306#534—216no—
307#534—28no—
308#534—28no—
309#534—48no—
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#126—28no—
314C2×#126—28no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#125—28no—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329#525—28no—
330C2×#123—28no—
331C2×#123—28no—
332C2×#123—48no—
333C2×#123—48no—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
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×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×#121—28no—
367C2×#121—28no—
368C2×#121—28no—
369C2×#121—28no—
370C2×#121D4116yescomplemented
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#120C2312yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×#120C2312yes—
423C2×#120C2312yes—
424C2×#120C2314yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×C4×D4—28no—
430C2×C4×D4—28no—
431C2×C4×D4—28no—
432C2×C4×D4—28no—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×#117—28no—
455C2×#117C2314yes—
456C2×#117C2314yes—
457C2×#117C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2312yes—
460C22×C4⋊C4—28no—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2314yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2311yescharacteristic
487C22×C22⋊C4C2311yescharacteristic
488C22×C22⋊C4C2312yes—
489C22×C22⋊C4C2312yes—
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2314yes—
492C22×C22⋊C4C2314yes—
493C22×C22⋊C4C2314yes—
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2311yescharacteristic
496C22×C22⋊C4C2311yescharacteristic
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500#400C2312yes—
501#400C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
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#395C2312yes—
551#395C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
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#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#384C2314yes—
727#382C2314yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#379C2314yes—
756#379C2312yes—
757#379C2312yes—
758#379C2312yes—
759#379C2314yes—
760#379C2312yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C2×#95C2312yes—
774C2×#95C2314yes—
775C2×#95C2314yes—
776C25C2411yescharacteristic
777C25C2412yes—
778C25C2411yescharacteristic
779C25C2411yescharacteristic
780C25C2411yescharacteristic
781C25C2412yes—
782C25C2412yes—
783C2×#41—24no—
784C2×#41—82no—
785C22×Q8C2411yescharacteristic
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—28no—
790C22×D4—28no—
791C22×D4—28no—
792C22×D4—28no—
793C22×D4—28no—
794C22×D4—28no—
795C22×D4—24no—
796C22×D4—24no—
797C22×D4—42no—
798C22×D4—44no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4—44no—
804C22×D4—48no—
805C22×D4—48no—
806C22×D4—44no—
807C22×D4—44no—
808C22×D4—44no—
809C22×D4—82no—
810C22×D4—82no—
811C22×D4—82no—
812C22×D4—84no—
813C22×D4C2×D418yes—
814C22×D4C2×D418yes—
815C22×D4C2×D418yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C23×C4—24no—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4—24no—
857C23×C4—42no—
858C23×C4—42no—
859C23×C4—82no—
860C23×C4—82no—
861C23×C4—82no—
862C23×C4—82no—
863C23×C4C2×D418yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896#127—28no—
897#127—28no—
898#127—28no—
899#126—216no—
900#126—216no—
901#126—28no—
902#126—28no—
903#126—216no—
904#126—216no—
905#126—28no—
906#126—28no—
907#125—216no—
908#125—216no—
909#125—28no—
910#124—28no—
911#124—28no—
912#123—216no—
913#123—216no—
914#123—28no—
915#123—28no—
916#123—28no—
917#123—28no—
918#123—28no—
919#123—28no—
920#123—216no—
921#123—216no—
922#123—28no—
923#123—28no—
924#123—28no—
925#123—28no—
926#123—28no—
927#123—28no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—44no—
933#123—44no—
934#123—44no—
935#123—44no—
936#123—44no—
937#123—44no—
938#123—48no—
939#123—84no—
940#123—84no—
941C22⋊Q8—24no—
942C22⋊Q8—24no—
943C22⋊Q8—82no—
944#121—216no—
945#121—216no—
946#121—216no—
947#121—216no—
948#121—216no—
949#121—216no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—24no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—24no—
964#121—24no—
965#121—24no—
966#121—24no—
967#121—28no—
968#121—28no—
969#121—28no—
970#121—28no—
971#121—28no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—82no—
976#121—82no—
977#121—84no—
978#121—82no—
979#121C2×D4116yes—
980#121C2×D4116yes—
981#121C2×D4116yes—
982#121C2×D4116yes—
983#120—28no—
984#120—28no—
985#120—28no—
986#120—28no—
987#120—28no—
988#120—28no—
989#120—28no—
990#120—28no—
991#120—28no—
992#120—28no—
993#120—28no—
994#120—28no—
995#120—28no—
996#120—48no—
997#120—48no—
998#120—44no—
999#120—44no—
1000#120—44no—
1001#120—84no—
1002C4×D4—216no—
1003C4×D4—216no—
1004C4×D4—216no—
1005C4×D4—216no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—216no—
1020C4×D4—48no—
1021C4×D4—48no—
1022C4×D4—84no—
1023#117—24no—
1024#117—28no—
1025#117—216no—
1026#117—216no—
1027#117—82no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—28no—
1033C2×C4⋊C4—28no—
1034C2×C4⋊C4—28no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—24no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—24no—
1042C2×C4⋊C4—48no—
1043C2×C4⋊C4—48no—
1044C2×C4⋊C4—82no—
1045C2×C4⋊C4C2×D418yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C22⋊C4—24no—
1094C2×C22⋊C4—24no—
1095C2×C22⋊C4—24no—
1096C2×C22⋊C4—24no—
1097C2×C22⋊C4—24no—
1098C2×C22⋊C4—24no—
1099C2×C22⋊C4—24no—
1100C2×C22⋊C4—24no—
1101C2×C22⋊C4—28no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4—48no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4—44no—
1106C2×C22⋊C4—44no—
1107C2×C22⋊C4—84no—
1108C2×C22⋊C4—84no—
1109C2×C22⋊C4C2×D418yes—
1110C2×C22⋊C4C2×D418yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—24no—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228C24—22no—
1229C24—22no—
1230C24—24no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—24no—
1237C24—22no—
1238C24—22no—
1239C24—28no—
1240C24—24no—
1241C24—24no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—44no—
1252C24—42no—
1253C24—42no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—42no—
1259C24—42no—
1260C24C22×D414yes—
1261C24C22×D414yes—
1262C24C22×D414yes—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2512yes—
1266C24C2512yes—
1267C24C2512yes—
1268C24C2512yes—
1269C24C2511yescharacteristic
1270C24C2511yescharacteristic
1271C24C2511yescharacteristic
1272#41—88no—
1273C2×Q8—22no—
1274C2×Q8—42no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
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—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—416no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—416no—
1355C2×D4—416no—
1356C2×D4—416no—
1357C2×D4—88no—
1358C2×D4—88no—
1359C2×D4—816no—
1360C2×D4—88no—
1361C2×D4—816no—
1362C2×D4—816no—
1363C2×D4—816no—
1364C2×D4—816no—
1365C2×D4—816no—
1366C2×D4C22×D418yes—
1367C2×D4C22×D418yes—
1368C2×D4C22×D418yes—
1369C2×D4C22×D418yes—
1370C2×D4C22×D418yes—
1371C2×D4C22×D418yes—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—416no—
1443C22×C4—416no—
1444C22×C4—88no—
1445C22×C4—88no—
1446C22×C4—88no—
1447C22×C4—88no—
1448C22×C4C22×D414yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D414yes—
1451C22×C4C22×D414yes—
1452C22×C4C22×D414yes—
1453C22×C4C22×D414yes—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4H(5,𝔽2)14yes—
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2514yes—
1460C22×C4C2514yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2514yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2512yes—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—28no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D418yes—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4C22×D418yes—
1595C22⋊C4C22×D418yes—
1596C22⋊C4C22×D418yes—
1597C22⋊C4C22×D418yes—
1598C42—24no—
1599C42—24no—
1600C42—28no—
1601C42—28no—
1602C42—24no—
1603C42—24no—
1604C42—24no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C23—21no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—24no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—28no—
1626C23—28no—
1627C23—28no—
1628C23—28no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—24no—
1648C23—24no—
1649C23—22no—
1650C23—22no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—48no—
1657C23—48no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—48no—
1662C23—84no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23—84no—
1669C23—84no—
1670C23—84no—
1671C23—84no—
1672C23—84no—
1673C23—84no—
1674C23—84no—
1675C23—84no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—164no—
1681C23—164no—
1682C23C23×D414yes—
1683C23C23×D414yes—
1684C23C23×D412yes—
1685C23C23×D412yes—
1686C23C23×D412yes—
1687C23C2×H(5,𝔽2)12yes—
1688C23#58514yes—
1689C23#58512yes—
1690C23C2611yescharacteristic
1691Q8—82no—
1692D4—216no—
1693D4—216no—
1694D4—48no—
1695D4—48no—
1696D4—48no—
1697D4—48no—
1698D4—416no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—48no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—84no—
1707D4—84no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716D4—84no—
1717D4—84no—
1718D4—84no—
1719D4—88no—
1720D4—84no—
1721D4—84no—
1722D4—84no—
1723D4—164no—
1724D4—164no—
1725D4—164no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—28no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—48no—
1785C2×C4—416no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—84no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—84no—
1801C2×C4—84no—
1802C2×C4—84no—
1803C2×C4—84no—
1804C2×C4—84no—
1805C2×C4—88no—
1806C2×C4—164no—
1807C2×C4C23×D414yes—
1808C2×C4C23×D414yes—
1809C2×C4C23×D412yes—
1810C2×C4C23×D412yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D412yes—
1813C2×C4C2×H(5,𝔽2)14yes—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—24no—
1819C22—24no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—22no—
1827C22—24no—
1828C22—22no—
1829C22—24no—
1830C22—24no—
1831C22—416no—
1832C22—44no—
1833C22—44no—
1834C22—42no—
1835C22—42no—
1836C22—44no—
1837C22—44no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—44no—
1853C22—44no—
1854C22—44no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—44no—
1860C22—88no—
1861C22—88no—
1862C22—88no—
1863C22—168no—
1864C22—168no—
1865C22—168no—
1866C22#348514yes—
1867C22#348814yes—
1868C22C24×D411yescharacteristic
1869C22C22×H(5,𝔽2)11yescharacteristic
1870C22C2×#58512yes—
1871C22C2×#58511yescharacteristic
1872C22H(7,𝔽2)12yes—
1873C4—24no—
1874C4—24no—
1875C4—24no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—44no—
1892C4—44no—
1893C4—44no—
1894C4—44no—
1895C2—24no—
1896C2—24no—
1897C2—42no—
1898C2—44no—
1899C2—44no—
1900C2—82no—
1901C2—82no—
1902C2—82no—
1903C2—82no—
1904C2C2×#348511yescharacteristic
1905C2C2×#348811yescharacteristic
1906C2#6284211yescharacteristic
1907C2#6295712yes—
1908C2#6296312yes—
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×#3537C2semidirect
2. C22×#553C2semidirect
3. #51894C2semidirect
4. #51890C2semidirect
5. #51779C2semidirect
6. #51775C2semidirect
7. #43911C2semidirect
8. #43526C2semidirect
9. #43102C2semidirect
10. #43022C2semidirect
11. #39717C2semidirect
12. #39129C2semidirect
13. #38022C2semidirect
14. #38020C2semidirect
15. #37646C2semidirect
16. #37646C2semidirect
17. #36969C2semidirect
18. #36960C2semidirect
19. #36721C2semidirect
20. #36709C2semidirect
21. #36236C2semidirect
22. D4×#123C2semidirect
23. #35093C2semidirect
24. #35091C2semidirect
25. #35089C2semidirect
26. #35077C2semidirect
27. #35076C2semidirect
28. #35057C2semidirect
29. #34984C2semidirect
30. C2×#2618C2semidirect
31. #34379C2semidirect
33. C2×#560C22semidirect
34. C2×#560C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
45. C2×D42C22semidirect
46. C2×#540C22semidirect
49. C2×#538C22semidirect
50. C2×#535C22semidirect
53. C2×#534C22semidirect
54. C2×#534C22semidirect
55. C22×#126C22semidirect
56. C22×#126C22semidirect
57. C22×#125C22semidirect
59. C22×#123C22semidirect
60. C22×#123C22semidirect
61. C22×#123C22semidirect
62. C22×#123C22semidirect
65. C22×#121C22semidirect
66. C22×#121C22semidirect
67. C22×#121C22semidirect
68. C22×C4×D4C22semidirect
69. C22×C4×D4C22semidirect
70. C22×C4×D4C22semidirect
71. C22×C4×D4C22semidirect
72. C22×#117C22semidirect
73. C23×C4⋊C4C22semidirect
74. #2855C22semidirect
75. #2854C22semidirect
76. #2854C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2849C22semidirect
81. #2849C22semidirect
82. #2849C22semidirect
83. #2849C22semidirect
84. #2848C22semidirect
85. #2847C22semidirect
86. #2847C22semidirect
87. #2847C22semidirect
88. #2727C22semidirect
89. #2725C22semidirect
90. #2722C22semidirect
91. #2721C22semidirect
92. #2719C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2715C22semidirect
96. #2714C22semidirect
97. #2711C22semidirect
98. #2709C22semidirect
99. #2708C22semidirect
100. #2707C22semidirect
101. #2706C22semidirect
102. #2706C22semidirect
103. #2705C22semidirect
104. #2701C22semidirect
105. #2699C22semidirect
106. #2697C22semidirect
107. #2695C22semidirect
108. #2695C22semidirect
109. #2693C22semidirect
110. #2691C22semidirect
111. #2688C22semidirect
112. #2685C22semidirect
113. #2685C22semidirect
114. #2682C22semidirect
115. #2682C22semidirect
116. #2678C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2678C22semidirect
120. #2678C22semidirect
121. #2673C22semidirect
122. #2673C22semidirect
123. #2673C22semidirect
124. #2672C22semidirect
125. #2671C22semidirect
126. #2671C22semidirect
127. #2671C22semidirect
128. #2635C22semidirect
129. #2630C22semidirect
130. #2627C22semidirect
131. #2627C22semidirect
132. #2622C22semidirect
133. #2618C22semidirect
134. #2618C22semidirect
135. #2618C22semidirect
136. #2618C22semidirect
137. #2618C22semidirect
138. #2618C22semidirect
139. #2618C22semidirect
140. #2618C22semidirect
141. #2618C22semidirect
142. #2618C22semidirect
143. #2618C22semidirect
144. #2618C22semidirect
145. #2617C22semidirect
146. #2613C22semidirect
147. #2591C22semidirect
148. #2591C22semidirect
149. #2591C22semidirect
150. #2583C22semidirect
151. #2579C22semidirect
152. #2579C22semidirect
153. #2579C22semidirect
154. #2558C22semidirect
155. #2554C22semidirect
156. #2543C22semidirect
157. #2539C22semidirect
158. #2539C22semidirect
159. #2534C22semidirect
160. #2534C22semidirect
161. #2534C22semidirect
162. #2519C22semidirect
163. #2512C22semidirect
164. #2504C22semidirect
165. #2501C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2484C22semidirect
171. #2479C22semidirect
172. #2478C22semidirect
173. #2476C22semidirect
174. #2475C22semidirect
175. #2474C22semidirect
176. #2470C22semidirect
177. #2468C22semidirect
178. #2467C22semidirect
179. #2464C22semidirect
180. #2461C22semidirect
181. #2460C22semidirect
182. #2457C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2444C22semidirect
186. #2444C22semidirect
187. #2444C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
190. #2443C22semidirect
191. #2443C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2425C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2422C22semidirect
201. #2420C22semidirect
202. #2419C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2413C22semidirect
214. #2413C22semidirect
215. #2413C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2410C22semidirect
227. #2408C22semidirect
228. #2407C22semidirect
229. #2406C22semidirect
230. #2405C22semidirect
231. #2405C22semidirect
232. #2405C22semidirect
233. #2405C22semidirect
234. #2405C22semidirect
235. #2403C22semidirect
236. #2403C22semidirect
237. C2×#398C22semidirect
238. C2×#396C22semidirect
239. C2×#394C22semidirect
240. #2377C22semidirect
241. #2361C22semidirect
242. #2349C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2345C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. D4×C22⋊C4C22semidirect
250. #2325C22semidirect
251. #2325C22semidirect
252. #2324C22semidirect
253. #2322C22semidirect
254. #2322C22semidirect
255. #2322C22semidirect
256. #2321C22semidirect
257. #2321C22semidirect
258. #2315C22semidirect
259. #2315C22semidirect
260. #2312C22semidirect
261. #2312C22semidirect
262. #2308C22semidirect
263. C4×#123C22semidirect
264. C4×#123C22semidirect
265. C2×#386C22semidirect
266. C2×#386C22semidirect
267. #2280C22semidirect
268. C2×#380C22semidirect
370. C2×#121D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35372
C22×#5532
#518942
#518902
#517792
#517752
#439112
#435262
#431022
#430222
#397172
#391292
#380222
#380202
#376462
#369692
#369602
#367212
#367092
#362362
D4×#1232
#350932
#350912
#350892
#350772
#350762
#350572
#349842
C2×#26182
#343792