Finite Group Databasebeta

← #7732380

Subgroups — #7732380

Order 512.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3559C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#50876C214yesmaximal, complemented
4#50875C214yesmaximal, complemented
5#47687C214yesmaximal, complemented
6#47681C214yesmaximal, complemented
7#44513C214yesmaximal, complemented
8#43904C214yesmaximal, complemented
9#39422C212yesmaximal, complemented
10#39415C212yesmaximal, complemented
11#39380C212yesmaximal, complemented
12#39354C212yesmaximal, complemented
13#39126C212yesmaximal, complemented
14#39118C212yesmaximal, complemented
15#37846C212yesmaximal, complemented
16#37839C212yesmaximal, complemented
17#37836C212yesmaximal, complemented
18#37836C212yesmaximal, complemented
19#37549C211yesmaximal, characteristic, complemented
20#37281C212yesmaximal, complemented
21#37270C212yesmaximal, complemented
22#36157C212yesmaximal, complemented
23#36153C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35542C212yesmaximal, complemented
26#35238C211yesmaximal, characteristic, complemented
27#35165C211yesmaximal, characteristic, complemented
28C2×#2562C211yesmaximal, characteristic, complemented
29#34243C211yesmaximal, characteristic, complemented
30#3559—216no—
31C2×#563C2212yescomplemented
32C2×#562C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#553C2212yescomplemented
35C2×#553C2212yescomplemented
36C2×#547C2212yescomplemented
37C2×#547C2214yescomplemented
38C2×#546C2214yes—
39#3459—216no—
40C2×#544C2212yescomplemented
41C2×#543C2211yescharacteristic
42C2×#540C2212yescomplemented
43C2×#539C2212yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46C2×#539C2214yescomplemented
47C2×#539C2212yescomplemented
48C2×#538C2212yes—
49C2×#538C2212yes—
50C2×#538C2211yescharacteristic
51C2×#538C2211yescharacteristic
52C2×#537C2212yes—
53C2×#535C2212yes—
54C2×#534C2212yes—
55C2×#534C2211yescharacteristic
56C2×#532C2211yescharacteristic, complemented
57C2×#529C2212yes—
58C2×#529C2211yescharacteristic
59C2×#529C2212yes—
60C2×#529C2211yescharacteristic
61C22×#125C2211yescharacteristic, complemented
62C2×#525C2212yes—
63C2×#525C2212yes—
64C2×#525C2212yes—
65C22×C4×D4C2212yes—
66C22×C4×D4C2211yescharacteristic
67#2857C2212yescomplemented
68#2856C2212yes—
69#2851C2212yescomplemented
70#2850C2212yescomplemented
71#2847C2212yes—
72#2847C2212yescomplemented
73#2847C2212yescomplemented
74#2847C2212yescomplemented
75#2822C2212yescomplemented
76#2820C2212yescomplemented
77#2730C2214yescomplemented
78#2728C2214yescomplemented
79#2721C2214yescomplemented
80#2713C2214yescomplemented
81#2706C2214yescomplemented
82#2705C2214yescomplemented
83#2705C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2702C2214yescomplemented
88#2702C2214yescomplemented
89#2702C2214yescomplemented
90#2702C2214yescomplemented
91#2700C2214yescomplemented
92#2699C2214yescomplemented
93#2696C2214yescomplemented
94#2696C2214yescomplemented
95#2696C2214yescomplemented
96#2693C2214yescomplemented
97#2693C2214yescomplemented
98#2692C2214yescomplemented
99#2690C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2687C2214yescomplemented
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2680C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2676C2214yes—
109#2674C2214yescomplemented
110#2673C2214yes—
111#2673C2214yescomplemented
112#2672C2214yes—
113#2671C2214yes—
114#2671C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2664C2214yescomplemented
118#2662C2214yescomplemented
119#2629C2212yescomplemented
120#2629C2212yescomplemented
121#2629C2212yescomplemented
122#2628C2212yescomplemented
123#2627C2212yescomplemented
124#2618C2212yes—
125#2617C2212yes—
126#2617C2212yescomplemented
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2584C2212yescomplemented
130#2567C2211yescharacteristic, complemented
131#2566C2212yescomplemented
132#2563C2211yescharacteristic, complemented
133#2563C2212yescomplemented
134#2562C2212yescomplemented
135#2562C2214yescomplemented
136#2562C2212yescomplemented
137#2562C2214yescomplemented
138#2562C2212yescomplemented
139#2562C2212yescomplemented
140#2562C2212yescomplemented
141#2562C2212yescomplemented
142#2562C2212yescomplemented
143#2560C2214yescomplemented
144#2560C2214yescomplemented
145#2559C2214yescomplemented
146#2558C2214yescomplemented
147#2555C2214yescomplemented
148#2554C2214yescomplemented
149#2554C2214yescomplemented
150#2548C2211yescharacteristic, complemented
151#2547C2212yescomplemented
152#2547C2212yescomplemented
153#2544C2212yescomplemented
154#2544C2214yescomplemented
155#2543C2214yes—
156#2543C2214yescomplemented
157#2541C2212yescomplemented
158#2541C2211yescharacteristic, complemented
159#2539C2214yescomplemented
160#2537C2212yescomplemented
161#2537C2212yescomplemented
162#2537C2212yescomplemented
163#2537C2212yescomplemented
164#2536C2214yescomplemented
165#2535C2212yescomplemented
166#2535C2214yescomplemented
167#2535C2212yescomplemented
168#2492C2214yescomplemented
169#2491C2214yes—
170#2490C2214yescomplemented
171#2489C2214yescomplemented
172#2488C2214yescomplemented
173#2488C2214yescomplemented
174#2488C2214yescomplemented
175#2487C2212yescomplemented
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2486C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2481C2214yescomplemented
182#2481C2214yescomplemented
183#2472C2214yescomplemented
184#2472C2214yescomplemented
185#2467C2214yescomplemented
186#2464C2214yes—
187#2464C2214yescomplemented
188#2461C2214yescomplemented
189#2461C2214yescomplemented
190#2457C2214yescomplemented
191#2457C2214yescomplemented
192#2450C2214yescomplemented
193#2450C2214yescomplemented
194#2445C2214yescomplemented
195#2444C2214yescomplemented
196#2443C2214yescomplemented
197#2442C2214yescomplemented
198#2430C2214yes—
199#2430C2214yescomplemented
200#2428C2214yes—
201#2427C2214yescomplemented
202#2426C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2418C2214yescomplemented
210#2417C2214yescomplemented
211#2416C2214yes—
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2413C2214yescomplemented
219#2412C2214yes—
220#2412C2214yescomplemented
221#2410C2214yes—
222#2404C2214yescomplemented
223C2×#400C2212yescomplemented
224C2×#394C2212yes—
225#2370C2212yescomplemented
226#2367C2212yescomplemented
227#2364C2214yescomplemented
228#2359C2214yescomplemented
229#2358C2214yes—
230#2355C2211yescharacteristic, complemented
231#2354C2211yescharacteristic, complemented
232#2352C2212yescomplemented
233Q8×C4⋊C4C2211yescharacteristic, complemented
234D4×C4⋊C4C2212yescomplemented
235D4×C4⋊C4C2211yescharacteristic, complemented
236#2339C2214yescomplemented
237#2334C2214yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2324C2212yescomplemented
241#2324C2212yescomplemented
242#2314C2212yescomplemented
243#2311C2212yescomplemented
244#2311C2212yescomplemented
245#2311C2212yescomplemented
246C4×C22⋊Q8C2212yescomplemented
247C4×#121C2212yes—
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C2×#388C2212yes—
251C2×#388C2212yescomplemented
252#2285C2211yescharacteristic, complemented
253#2280C2212yescomplemented
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2212yescomplemented
257C2×#380C2211yescharacteristic, complemented
258C2×#380C2211yescharacteristic, complemented
259#2274C2212yescomplemented
260C2×C4×C4⋊C4C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2314yes—
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2312yes—
269#563—216no—
270#562—216no—
271#554—216no—
272#553—216no—
273#553—216no—
274#547—232no—
275#547—216no—
276#546—416no—
277#544—216no—
278#543—28no—
279#540—216no—
280#539—216no—
281#539—232no—
282#539—216no—
283#539—216no—
284#539—216no—
285#538—216no—
286#538—216no—
287#538—28no—
288#538—28no—
289#537—216no—
290#535—48no—
291#534—216no—
292#534—28no—
293#532—28no—
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×#127C2311yescharacteristic
298C2×#127C2314yes—
299C2×#127C2312yes—
300#529—216no—
301#529—216no—
302#529—28no—
303#529D4116yescomplemented
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#125—28no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331#525—216no—
332#525—216no—
333#525—216no—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2311yescharacteristic
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×D4—216no—
417C2×C4×D4—28no—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2314yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2314yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C42C2312yes—
471C22×C42C2312yes—
472C22×C42C2311yescharacteristic
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2312yes—
566#391C2314yes—
567#391C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#379C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C2×#95C2312yes—
744C2×#95C2314yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C25C2411yescharacteristic
750C25C2412yes—
751C25C2411yescharacteristic
752C2×#41—216no—
753C2×#41—28no—
754C2×#41—28no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—48no—
759C2×#41—44no—
760C2×#41—48no—
761C22×Q8C2411yescharacteristic
762C22×Q8C2412yes—
763C22×Q8C2414yes—
764C22×Q8C2412yes—
765C22×Q8C2411yescharacteristic
766C22×D4—24no—
767C22×D4—28no—
768C22×D4—28no—
769C22×D4—24no—
770C22×D4—42no—
771C22×D4—44no—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2411yescharacteristic
797C23×C4—24no—
798C23×C4—24no—
799C23×C4—28no—
800C23×C4—42no—
801C23×C4—42no—
802C23×C4—42no—
803C23×C4—42no—
804C23×C4—44no—
805C23×C4—44no—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C4⋊Q8—216no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834#127—24no—
835#127—48no—
836#127—82no—
837#126—28no—
838#126—28no—
839#126—28no—
840#126—216no—
841#126—216no—
842#126—28no—
843#126—28no—
844#126C2×D4116yes—
845#125—28no—
846#125—28no—
847#125—216no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—28no—
852#125—24no—
853#125—28no—
854#125C2×D418yes—
855#124—28no—
856#124—28no—
857#124—24no—
858#124—28no—
859#124—48no—
860#124—48no—
861#124—82no—
862#124C2×D418yes—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—28no—
868#123—28no—
869#123—216no—
870#123—216no—
871#123—28no—
872#123—28no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—48no—
881#123—48no—
882#123C2×D4116yes—
883C22⋊Q8—28no—
884C22⋊Q8—216no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892C22⋊Q8—216no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—216no—
898C22⋊Q8—48no—
899C22⋊Q8C2×D418yes—
900#121—28no—
901#121—28no—
902#121—216no—
903#121—216no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—216no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—48no—
929#121—84no—
930#121—84no—
931#121C2×D418yes—
932#120—216no—
933#120—28no—
934#120—28no—
935#120—28no—
936#120—28no—
937#120—28no—
938#120—28no—
939#120—48no—
940#120—48no—
941#120—84no—
942C4×Q8—24no—
943C4×Q8—82no—
944C4×Q8C2×D418yes—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—216no—
953C4×D4—216no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—24no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—82no—
968C4×D4—84no—
969C4×D4C2×D4116yes—
970C4×D4C2×D418yes—
971#117—28no—
972#117—28no—
973#117—28no—
974#117—44no—
975#117—44no—
976#117C2×D4116yes—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—28no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—216no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4—28no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—28no—
1047C2×C22⋊C4—28no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—82no—
1051C2×C22⋊C4—82no—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C42—28no—
1116C2×C42—82no—
1117C2×C42C2×D418yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24—22no—
1172C24—22no—
1173C24—22no—
1174C24—24no—
1175C24—24no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—42no—
1185C24—42no—
1186C24—41no—
1187C24—41no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24H(5,𝔽2)14yes—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198#41—816no—
1199#41—816no—
1200#41—832no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—28no—
1204C2×Q8—24no—
1205C2×Q8—41no—
1206C2×Q8—41no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8C22×D414yes—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—41no—
1253C2×D4—416no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—41no—
1264C2×D4—42no—
1265C2×D4—41no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—432no—
1291C2×D4C22×D418yes—
1292C2×D4C22×D414yes—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—88no—
1365C22×C4—88no—
1366C22×C4—816no—
1367C22×C4C22×D414yes—
1368C22×C4C22×D414yes—
1369C22×C4C22×D418yes—
1370C22×C4C22×D414yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—28no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4C22×D418yes—
1444C4⋊C4C22×D418yes—
1445C4⋊C4C22×D418yes—
1446C4⋊C4C22×D418yes—
1447C4⋊C4C22×D414yes—
1448C4⋊C4C22×D414yes—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4C22×D418yes—
1508C22⋊C4C22×D418yes—
1509C22⋊C4C22×D418yes—
1510C22⋊C4C22×D418yes—
1511C22⋊C4C22×D418yes—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—28no—
1516C42—42no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42C22×D418yes—
1525C42C22×D414yes—
1526C42C22×D414yes—
1527C42C22×D414yes—
1528C42C22×D414yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—28no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—44no—
1568C23—44no—
1569C23—48no—
1570C23—44no—
1571C23—44no—
1572C23—48no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—84no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—82no—
1581C23—82no—
1582C23—82no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23C23×D414yes—
1588C23C23×D412yes—
1589C23C2×H(5,𝔽2)14yes—
1590C23C2×H(5,𝔽2)12yes—
1591C23#58512yes—
1592C23C2611yescharacteristic
1593Q8—44no—
1594Q8—82no—
1595Q8—84no—
1596Q8—88no—
1597Q8—84no—
1598D4—216no—
1599D4—44no—
1600D4—48no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—416no—
1606D4—48no—
1607D4—84no—
1608D4—82no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—88no—
1613D4—84no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617D4—84no—
1618D4—84no—
1619D4—164no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—216no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—88no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—82no—
1702C2×C4—84no—
1703C2×C4—82no—
1704C2×C4—88no—
1705C2×C4—164no—
1706C2×C4C23×D414yes—
1707C2×C4C23×D414yes—
1708C2×C4C23×D414yes—
1709C2×C4C23×D412yes—
1710C2×C4C23×D412yes—
1711C2×C4C23×D412yes—
1712C2×C4C23×D412yes—
1713C2×C4C23×D412yes—
1714C2×C4C23×D412yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—88no—
1759C22—88no—
1760C22—816no—
1761C22#348814yes—
1762C22C24×D411yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22H(7,𝔽2)11yescharacteristic
1768C222−1+611yescharacteristic
1769C4—22no—
1770C4—22no—
1771C4—24no—
1772C4—22no—
1773C4—24no—
1774C4—22no—
1775C4—22no—
1776C4—24no—
1777C4—44no—
1778C4—42no—
1779C4—44no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—44no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4#350014yes—
1792C2—24no—
1793C2—44no—
1794C2—44no—
1795C2—84no—
1796C2—82no—
1797C2—82no—
1798C2C2×#348811yescharacteristic
1799C2C2×#350011yescharacteristic
1800C2#6285311yescharacteristic
1801C2#6290111yescharacteristic
1802C2#6290511yescharacteristic
1803C2#6290711yescharacteristic
1804C2#6290811yescharacteristic
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×#3559C2semidirect
2. C2×#3459C2semidirect
3. #50876C2semidirect
4. #50875C2semidirect
5. #47687C2semidirect
6. #47681C2semidirect
7. #44513C2semidirect
8. #43904C2semidirect
9. #39422C2semidirect
10. #39415C2semidirect
11. #39380C2semidirect
12. #39354C2semidirect
13. #39126C2semidirect
14. #39118C2semidirect
15. #37846C2semidirect
16. #37839C2semidirect
17. #37836C2semidirect
18. #37836C2semidirect
19. #37549C2semidirect
20. #37281C2semidirect
21. #37270C2semidirect
22. #36157C2semidirect
23. #36153C2semidirect
24. #35567C2semidirect
25. #35542C2semidirect
26. #35238C2semidirect
27. #35165C2semidirect
28. C2×#2562C2semidirect
29. #34243C2semidirect
31. C2×#563C22semidirect
32. C2×#562C22semidirect
33. C2×#554C22semidirect
34. C2×#553C22semidirect
35. C2×#553C22semidirect
36. C2×#547C22semidirect
37. C2×#547C22semidirect
40. C2×#544C22semidirect
42. C2×#540C22semidirect
46. C2×#539C22semidirect
47. C2×#539C22semidirect
56. C2×#532C22semidirect
61. C22×#125C22semidirect
67. #2857C22semidirect
69. #2851C22semidirect
70. #2850C22semidirect
72. #2847C22semidirect
73. #2847C22semidirect
74. #2847C22semidirect
75. #2822C22semidirect
76. #2820C22semidirect
77. #2730C22semidirect
78. #2728C22semidirect
79. #2721C22semidirect
80. #2713C22semidirect
81. #2706C22semidirect
82. #2705C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2702C22semidirect
88. #2702C22semidirect
89. #2702C22semidirect
90. #2702C22semidirect
91. #2700C22semidirect
92. #2699C22semidirect
93. #2696C22semidirect
94. #2696C22semidirect
95. #2696C22semidirect
96. #2693C22semidirect
97. #2693C22semidirect
98. #2692C22semidirect
99. #2690C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2687C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
105. #2680C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
109. #2674C22semidirect
111. #2673C22semidirect
114. #2671C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2664C22semidirect
118. #2662C22semidirect
119. #2629C22semidirect
120. #2629C22semidirect
121. #2629C22semidirect
122. #2628C22semidirect
123. #2627C22semidirect
126. #2617C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2584C22semidirect
130. #2567C22semidirect
131. #2566C22semidirect
132. #2563C22semidirect
133. #2563C22semidirect
134. #2562C22semidirect
135. #2562C22semidirect
136. #2562C22semidirect
137. #2562C22semidirect
138. #2562C22semidirect
139. #2562C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2562C22semidirect
143. #2560C22semidirect
144. #2560C22semidirect
145. #2559C22semidirect
146. #2558C22semidirect
147. #2555C22semidirect
148. #2554C22semidirect
149. #2554C22semidirect
150. #2548C22semidirect
151. #2547C22semidirect
152. #2547C22semidirect
153. #2544C22semidirect
154. #2544C22semidirect
156. #2543C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2539C22semidirect
160. #2537C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2537C22semidirect
164. #2536C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2492C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
172. #2488C22semidirect
173. #2488C22semidirect
174. #2488C22semidirect
175. #2487C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
178. #2486C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2481C22semidirect
182. #2481C22semidirect
183. #2472C22semidirect
184. #2472C22semidirect
185. #2467C22semidirect
187. #2464C22semidirect
188. #2461C22semidirect
189. #2461C22semidirect
190. #2457C22semidirect
191. #2457C22semidirect
192. #2450C22semidirect
193. #2450C22semidirect
194. #2445C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
197. #2442C22semidirect
199. #2430C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2418C22semidirect
210. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2413C22semidirect
220. #2412C22semidirect
222. #2404C22semidirect
223. C2×#400C22semidirect
225. #2370C22semidirect
226. #2367C22semidirect
227. #2364C22semidirect
228. #2359C22semidirect
230. #2355C22semidirect
231. #2354C22semidirect
232. #2352C22semidirect
233. Q8×C4⋊C4C22semidirect
234. D4×C4⋊C4C22semidirect
235. D4×C4⋊C4C22semidirect
236. #2339C22semidirect
237. #2334C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2324C22semidirect
241. #2324C22semidirect
242. #2314C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. C4×C22⋊Q8C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
251. C2×#388C22semidirect
252. #2285C22semidirect
253. #2280C22semidirect
256. C2×#380C22semidirect
257. C2×#380C22semidirect
258. C2×#380C22semidirect
259. #2274C22semidirect
260. C2×C4×C4⋊C4C22semidirect
303. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35592
C2×#34592
#508762
#508752
#476872
#476812
#445132
#439042
#394222
#394152
#393802
#393542
#391262
#391182
#378462
#378392
#378362
#375492
#372812
#372702
#361572
#361532
#355672
#355422
#352382
#351652
C2×#25622
#342432