Finite Group Databasebeta

← #8091789

Subgroups — #8091789

Order 512.

7097 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3529C212yesmaximal, complemented
2#46328C211yesmaximal, characteristic, complemented
3#46276C212yesmaximal, complemented
4#45993C212yesmaximal, complemented
5#45969C214yesmaximal, complemented
6#45768C214yesmaximal, complemented
7#45765C214yesmaximal, complemented
8#45760C214yesmaximal, complemented
9#45488C211yesmaximal, characteristic, complemented
10#45486C212yesmaximal, complemented
11#45483C212yesmaximal, complemented
12#45482C212yesmaximal, complemented
13#45482C212yesmaximal, complemented
14#45479C211yesmaximal, characteristic, complemented
15#45478C212yesmaximal, complemented
16#45453C212yesmaximal, complemented
17#45447C214yesmaximal, complemented
18#45442C212yesmaximal, complemented
19#45440C214yesmaximal, complemented
20#36127C211yesmaximal, characteristic, complemented
21#36126C212yesmaximal, complemented
22#36118C212yesmaximal, complemented
23#36116C212yesmaximal, complemented
24#36113C212yesmaximal, complemented
25#36103C212yesmaximal, complemented
26#36103C211yesmaximal, characteristic, complemented
27#36102C211yesmaximal, characteristic, complemented
28#36100C212yesmaximal, complemented
29C4×#560C211yesmaximal, characteristic, complemented
30#3529—232no—
31C2×#563C2212yes—
32C2×#563C2214yescomplemented
33C2×#562C2214yes—
34C2×#562C2214yescomplemented
35C2×#562C2214yescomplemented
36C2×H(3,𝔽4)C2212yes—
37C2×#560C2214yes—
38C2×#560C2212yes—
39C2×#560C2211yescharacteristic
40C2×#560C2214yescomplemented
41C2×#547C2212yes—
42C2×#547C2211yescharacteristic
43C2×#547C2211yescharacteristic, complemented
44C2×#532C2212yes—
45C2×#532C2214yescomplemented
46C2×#529C2214yes—
47C2×#529C2214yescomplemented
48C2×#529C2214yescomplemented
49C2×#525C2214yes—
50C2×#525C2212yes—
51C2×#525C2212yes—
52C2×#525C2214yescomplemented
53C22×C4×D4C2211yescharacteristic, complemented
54C23×C4⋊C4C2211yescharacteristic, complemented
55#2868C2211yescharacteristic, complemented
56#2860C2212yescomplemented
57#2857C2212yescomplemented
58#2857C2212yescomplemented
59#2857C2212yescomplemented
60#2856C2212yescomplemented
61#2855C2214yescomplemented
62#2854C2211yescharacteristic, complemented
63#2854C2212yescomplemented
64#2854C2214yescomplemented
65#2853C2214yescomplemented
66#2852C2214yescomplemented
67#2849C2212yescomplemented
68#2849C2212yescomplemented
69#2849C2214yescomplemented
70#2848C2214yescomplemented
71#2847C2212yes—
72#2847C2211yescharacteristic, complemented
73#2823C2212yescomplemented
74#2821C2214yescomplemented
75#2817C2212yescomplemented
76#2816C2214yescomplemented
77#2814C2214yescomplemented
78#2814C2214yescomplemented
79#2813C2214yescomplemented
80#2812C2212yes—
81#2812C2214yescomplemented
82#2722C2212yescomplemented
83#2721C2214yescomplemented
84#2720C2214yescomplemented
85#2718C2214yescomplemented
86#2717C2212yes—
87#2713C2214yescomplemented
88#2712C2214yes—
89#2712C2212yes—
90#2710C2214yescomplemented
91#2709C2214yescomplemented
92#2708C2214yescomplemented
93#2708C2214yescomplemented
94#2705C2214yescomplemented
95#2704C2214yescomplemented
96#2704C2214yescomplemented
97#2703C2214yes—
98#2701C2214yescomplemented
99#2701C2214yescomplemented
100#2700C2214yescomplemented
101#2700C2214yescomplemented
102#2699C2214yes—
103#2699C2212yescomplemented
104#2697C2212yes—
105#2697C2214yescomplemented
106#2694C2214yescomplemented
107#2693C2214yescomplemented
108#2692C2214yescomplemented
109#2691C2214yescomplemented
110#2691C2214yescomplemented
111#2689C2214yescomplemented
112#2688C2214yescomplemented
113#2688C2214yescomplemented
114#2687C2214yescomplemented
115#2687C2214yescomplemented
116#2686C2214yes—
117#2686C2214yescomplemented
118#2685C2214yescomplemented
119#2684C2214yes—
120#2684C2212yes—
121#2681C2214yescomplemented
122#2680C2214yescomplemented
123#2678C2214yes—
124#2677C2214yescomplemented
125#2674C2214yescomplemented
126#2673C2214yes—
127#2672C2214yescomplemented
128#2671C2214yescomplemented
129#2668C2214yescomplemented
130#2552C2212yescomplemented
131#2551C2212yescomplemented
132#2547C2212yes—
133#2547C2211yescharacteristic
134#2547C2211yescharacteristic, complemented
135#2542C2212yescomplemented
136#2541C2212yes—
137#2537C2212yes—
138#2537C2212yescomplemented
139#2537C2212yescomplemented
140#2512C2212yescomplemented
141#2506C2212yescomplemented
142#2506C2212yescomplemented
143#2501C2212yes—
144#2501C2211yescharacteristic, complemented
145#2496C2212yescomplemented
146#2496C2212yescomplemented
147#2496C2212yescomplemented
148#2491C2212yes—
149#2491C2212yes—
150#2491C2212yes—
151#2491C2212yescomplemented
152#2486C2211yescharacteristic
153#2486C2212yescomplemented
154#2486C2212yescomplemented
155#2486C2212yescomplemented
156#2478C2214yescomplemented
157#2478C2214yescomplemented
158#2477C2214yescomplemented
159#2476C2214yescomplemented
160#2475C2214yescomplemented
161#2474C2214yescomplemented
162#2469C2214yescomplemented
163#2468C2214yescomplemented
164#2463C2214yescomplemented
165#2461C2214yescomplemented
166#2461C2214yescomplemented
167#2460C2214yescomplemented
168#2459C2214yescomplemented
169#2458C2214yescomplemented
170#2457C2214yescomplemented
171#2456C2214yes—
172#2455C2214yes—
173#2455C2214yescomplemented
174#2453C2214yescomplemented
175#2452C2212yescomplemented
176#2452C2212yescomplemented
177#2452C2214yescomplemented
178#2450C2214yescomplemented
179#2449C2214yescomplemented
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2447C2214yes—
183#2445C2212yescomplemented
184#2445C2214yescomplemented
185#2444C2214yescomplemented
186#2443C2214yes—
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2440C2212yescomplemented
190#2440C2212yescomplemented
191#2440C2212yescomplemented
192#2440C2212yescomplemented
193#2433C2211yescharacteristic, complemented
194#2432C2212yes—
195#2432C2212yescomplemented
196#2430C2214yescomplemented
197#2430C2214yescomplemented
198#2428C2212yes—
199#2428C2212yes—
200#2422C2212yes—
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2214yescomplemented
204#2422C2214yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2418C2214yes—
208#2418C2214yescomplemented
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2415C2214yescomplemented
216#2413C2214yescomplemented
217#2413C2212yescomplemented
218#2411C2212yescomplemented
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2408C2212yescomplemented
222#2407C2214yes—
223#2406C2212yes—
224#2406C2214yescomplemented
225#2404C2212yes—
226#2383C2212yescomplemented
227#2380C2211yescharacteristic
228#2377C2212yes—
229#2377C2212yes—
230#2377C2212yescomplemented
231#2376C2211yescharacteristic
232#2376C2212yescomplemented
233#2375C2211yescharacteristic
234#2375C2212yescomplemented
235#2366C2212yescomplemented
236#2365C2212yescomplemented
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yescomplemented
240#2361C2212yescomplemented
241#2354C2212yescomplemented
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2344C2211yescharacteristic, complemented
247#2344C2212yescomplemented
248#2344C2211yescharacteristic, complemented
249C4×#127C2211yescharacteristic
250C4×#126C2212yescomplemented
251C4×#123C2211yescharacteristic
252C4×#123C2212yescomplemented
253C4×#121C2212yes—
254C4×#121C2212yes—
255C4×#121C2212yescomplemented
256C4×#120C2211yescharacteristic
257C4×#120C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C2×C4×C4⋊C4C2212yescomplemented
260C22×#41C2312yes—
261C22×#41C2314yes—
262C22×#41C2312yes—
263C23×D4C2311yescharacteristic
264C24×C4C2312yes—
265C24×C4C2312yes—
266C24×C4C2311yescharacteristic
267#563—232no—
268#563—216no—
269#562—232no—
270#562—232no—
271#562—232no—
272H(3,𝔽4)—216no—
273#560—216no—
274#560—232no—
275#560—232no—
276#560D4116yescomplemented
277#547—44no—
278#547—48no—
279#547—44no—
280#532—216no—
281#532—232no—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2314yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2312yes—
289C2×#127C2314yes—
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292#529—232no—
293#529—232no—
294#529—232no—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2312yes—
301C2×#125C2314yes—
302C2×#125C2314yes—
303C2×#125C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311#525—216no—
312#525—232no—
313#525—216no—
314#525—232no—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2311yescharacteristic
335C2×#123C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#120C2314yes—
375C2×#120C2312yes—
376C2×#120C2312yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2311yescharacteristic
382C2×#120C2312yes—
383C2×C4×Q8C2314yes—
384C2×C4×D4—44no—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C22×C4⋊C4—44no—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C42C2312yes—
422C22×C42C2314yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2311yescharacteristic
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2311yescharacteristic
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2311yescharacteristic
668#385C2311yescharacteristic
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#383C2312yes—
681#381C2312yes—
682#381C2311yescharacteristic
683#381C2312yes—
684#381C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2312yes—
713#379C2311yescharacteristic
714#379C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2311yescharacteristic
730C4×C22⋊C4C2311yescharacteristic
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C2×#95C2314yes—
736C43C2311yescharacteristic
737C25C2412yes—
738C25C2411yescharacteristic
739C2×#41—216no—
740C2×#41—28no—
741C2×#41—28no—
742C2×#41—44no—
743C2×#41—48no—
744C2×#41—44no—
745C2×#41—82no—
746C2×#41—84no—
747C2×#41—82no—
748C22×Q8C2414yes—
749C22×Q8C2414yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C23×C4—28no—
776C23×C4—28no—
777C23×C4—42no—
778C23×C4—44no—
779C23×C4—44no—
780C23×C4—44no—
781C23×C4—82no—
782C23×C4—82no—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2411yescharacteristic
804C4⋊Q8—216no—
805C4⋊Q8—28no—
806C4⋊Q8—44no—
807C4⋊Q8—44no—
808C4⋊Q8—42no—
809C4⋊Q8—42no—
810C4⋊Q8—82no—
811#127—216no—
812#127—44no—
813#127C2×D418yes—
814#126—216no—
815#126—216no—
816#126—216no—
817#126—216no—
818#126—216no—
819#126C2×D4116yescomplemented
820#125—216no—
821#125—216no—
822#125—216no—
823#124—216no—
824#124—28no—
825#124—28no—
826#124—216no—
827#124—216no—
828#124—216no—
829#124—216no—
830#123—28no—
831#123—216no—
832#123—216no—
833#123—216no—
834#123—28no—
835#123—216no—
836#123—216no—
837#123—216no—
838#123—216no—
839#123—216no—
840#123—28no—
841#123—216no—
842#123—48no—
843#123—48no—
844#123—44no—
845#123—44no—
846#123—48no—
847#123—84no—
848#123—82no—
849#123C2×D418yes—
850#123C2×D4116yescomplemented
851C22⋊Q8—216no—
852C22⋊Q8—216no—
853C22⋊Q8—216no—
854C22⋊Q8—216no—
855C22⋊Q8—216no—
856C22⋊Q8—216no—
857C22⋊Q8—216no—
858C22⋊Q8—216no—
859C22⋊Q8—216no—
860C22⋊Q8—44no—
861C22⋊Q8—48no—
862C22⋊Q8—44no—
863C22⋊Q8—84no—
864#121—216no—
865#121—216no—
866#121—216no—
867#121—216no—
868#121—216no—
869#121—216no—
870#121—216no—
871#121—216no—
872#121—216no—
873#121—216no—
874#121—216no—
875#121—216no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—42no—
881#121—44no—
882#121—42no—
883#121—44no—
884#121—44no—
885#121—84no—
886#121C2×D4116yes—
887#121C2×D4116yes—
888#121C2×D4116yescomplemented
889#120—28no—
890#120—216no—
891#120—216no—
892#120—28no—
893#120—216no—
894#120—28no—
895#120—82no—
896#120C2×D418yes—
897#120C2×D4116yescomplemented
898C4×Q8—216no—
899C4×D4—216no—
900C4×D4—216no—
901C4×D4—216no—
902C4×D4—216no—
903C4×D4—216no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—216no—
907C4×D4—216no—
908C4×D4—216no—
909C4×D4—216no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—48no—
920#117—216no—
921#117—28no—
922#117—28no—
923#117—216no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—42no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4—44no—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—216no—
1054C2×C42—28no—
1055C2×C42—42no—
1056C2×C42—44no—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119C24—24no—
1120C24—41no—
1121C24—42no—
1122C24—41no—
1123C24—42no—
1124C24—42no—
1125C24—44no—
1126C24—42no—
1127C24—44no—
1128C24C22×D414yes—
1129C24C2514yes—
1130C24C2512yes—
1131C24C2511yescharacteristic
1132C24C2511yescharacteristic
1133C24C2512yes—
1134C24C2512yes—
1135#41—832no—
1136#41—816no—
1137#41—816no—
1138C2×Q8—28no—
1139C2×Q8—28no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—44no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—416no—
1205C2×D4C22×D418yes—
1206C2×D4C22×D418yes—
1207C2×D4C22×D418yes—
1208C2×D4C22×D418yes—
1209C2×D4C22×D414yes—
1210C2×D4C22×D418yes—
1211C2×D4C22×D414yes—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—416no—
1270C22×C4—816no—
1271C22×C4—816no—
1272C22×C4C22×D418yes—
1273C22×C4C22×D414yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4C22×D418yes—
1346C4⋊C4C22×D418yes—
1347C4⋊C4C22×D418yes—
1348C4⋊C4H(5,𝔽2)14yes—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4C22×D414yes—
1410C22⋊C4C22×D414yes—
1411C22⋊C4C22×D418yes—
1412C22⋊C4C22×D418yes—
1413C22⋊C4C22×D418yes—
1414C22⋊C4C22×D418yes—
1415C22⋊C4C22×D418yes—
1416C42—28no—
1417C42—28no—
1418C42—28no—
1419C42—24no—
1420C42—28no—
1421C42—28no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42C22×D414yes—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—44no—
1466C23—48no—
1467C23—44no—
1468C23—48no—
1469C23—44no—
1470C23—48no—
1471C23—84no—
1472C23—88no—
1473C23—88no—
1474C23—84no—
1475C23C23×D412yes—
1476C23C23×D412yes—
1477C23C23×D414yes—
1478C23C23×D414yes—
1479C23C2611yescharacteristic
1480Q8—88no—
1481Q8—88no—
1482Q8—84no—
1483Q8—84no—
1484D4—48no—
1485D4—48no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—44no—
1490D4—44no—
1491D4—48no—
1492D4—44no—
1493D4—48no—
1494D4—88no—
1495D4—88no—
1496D4—88no—
1497D4—88no—
1498D4—88no—
1499D4—84no—
1500D4—84no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—164no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—44no—
1563C2×C4—48no—
1564C2×C4—416no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—416no—
1568C2×C4—48no—
1569C2×C4—416no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—82no—
1583C2×C4C23×D414yes—
1584C2×C4C23×D414yes—
1585C2×C4C23×D414yes—
1586C2×C4C23×D412yes—
1587C2×C4C23×D414yes—
1588C2×C4C2×H(5,𝔽2)14yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4#58514yes—
1591C22—22no—
1592C22—24no—
1593C22—22no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—416no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—44no—
1627C22—42no—
1628C22—816no—
1629C22C24×D411yescharacteristic
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C2×#58512yes—
1632C22H(7,𝔽2)11yescharacteristic
1633C222−1+612yes—
1634C4—24no—
1635C4—24no—
1636C4—22no—
1637C4—24no—
1638C4—24no—
1639C4—24no—
1640C4—42no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4—44no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4#352914yescomplemented
1657C2—44no—
1658C2—44no—
1659C2—42no—
1660C2—42no—
1661C2—82no—
1662C2—84no—
1663C2C2×#352911yescharacteristic
1664C2D4×H(5,𝔽2)11yescharacteristic
1665C2#6298812yes—
1666C2#6304312yes—
1667C2#6304411yescharacteristic
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×#3529C2semidirect
2. #46328C2semidirect
3. #46276C2semidirect
4. #45993C2semidirect
5. #45969C2semidirect
6. #45768C2semidirect
7. #45765C2semidirect
8. #45760C2semidirect
9. #45488C2semidirect
10. #45486C2semidirect
11. #45483C2semidirect
12. #45482C2semidirect
13. #45482C2semidirect
14. #45479C2semidirect
15. #45478C2semidirect
16. #45453C2semidirect
17. #45447C2semidirect
18. #45442C2semidirect
19. #45440C2semidirect
20. #36127C2semidirect
21. #36126C2semidirect
22. #36118C2semidirect
23. #36116C2semidirect
24. #36113C2semidirect
25. #36103C2semidirect
26. #36103C2semidirect
27. #36102C2semidirect
28. #36100C2semidirect
29. C4×#560C2semidirect
32. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#562C22semidirect
40. C2×#560C22semidirect
43. C2×#547C22semidirect
45. C2×#532C22semidirect
47. C2×#529C22semidirect
48. C2×#529C22semidirect
52. C2×#525C22semidirect
53. C22×C4×D4C22semidirect
54. C23×C4⋊C4C22semidirect
55. #2868C22semidirect
56. #2860C22semidirect
57. #2857C22semidirect
58. #2857C22semidirect
59. #2857C22semidirect
60. #2856C22semidirect
61. #2855C22semidirect
62. #2854C22semidirect
63. #2854C22semidirect
64. #2854C22semidirect
65. #2853C22semidirect
66. #2852C22semidirect
67. #2849C22semidirect
68. #2849C22semidirect
69. #2849C22semidirect
70. #2848C22semidirect
72. #2847C22semidirect
73. #2823C22semidirect
74. #2821C22semidirect
75. #2817C22semidirect
76. #2816C22semidirect
77. #2814C22semidirect
78. #2814C22semidirect
79. #2813C22semidirect
81. #2812C22semidirect
82. #2722C22semidirect
83. #2721C22semidirect
84. #2720C22semidirect
85. #2718C22semidirect
87. #2713C22semidirect
90. #2710C22semidirect
91. #2709C22semidirect
92. #2708C22semidirect
93. #2708C22semidirect
94. #2705C22semidirect
95. #2704C22semidirect
96. #2704C22semidirect
98. #2701C22semidirect
99. #2701C22semidirect
100. #2700C22semidirect
101. #2700C22semidirect
103. #2699C22semidirect
105. #2697C22semidirect
106. #2694C22semidirect
107. #2693C22semidirect
108. #2692C22semidirect
109. #2691C22semidirect
110. #2691C22semidirect
111. #2689C22semidirect
112. #2688C22semidirect
113. #2688C22semidirect
114. #2687C22semidirect
115. #2687C22semidirect
117. #2686C22semidirect
118. #2685C22semidirect
121. #2681C22semidirect
122. #2680C22semidirect
124. #2677C22semidirect
125. #2674C22semidirect
127. #2672C22semidirect
128. #2671C22semidirect
129. #2668C22semidirect
130. #2552C22semidirect
131. #2551C22semidirect
134. #2547C22semidirect
135. #2542C22semidirect
138. #2537C22semidirect
139. #2537C22semidirect
140. #2512C22semidirect
141. #2506C22semidirect
142. #2506C22semidirect
144. #2501C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2496C22semidirect
151. #2491C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
156. #2478C22semidirect
157. #2478C22semidirect
158. #2477C22semidirect
159. #2476C22semidirect
160. #2475C22semidirect
161. #2474C22semidirect
162. #2469C22semidirect
163. #2468C22semidirect
164. #2463C22semidirect
165. #2461C22semidirect
166. #2461C22semidirect
167. #2460C22semidirect
168. #2459C22semidirect
169. #2458C22semidirect
170. #2457C22semidirect
173. #2455C22semidirect
174. #2453C22semidirect
175. #2452C22semidirect
176. #2452C22semidirect
177. #2452C22semidirect
178. #2450C22semidirect
179. #2449C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2444C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2433C22semidirect
195. #2432C22semidirect
196. #2430C22semidirect
197. #2430C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
208. #2418C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2415C22semidirect
216. #2413C22semidirect
217. #2413C22semidirect
218. #2411C22semidirect
221. #2408C22semidirect
224. #2406C22semidirect
226. #2383C22semidirect
230. #2377C22semidirect
232. #2376C22semidirect
234. #2375C22semidirect
235. #2366C22semidirect
236. #2365C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2354C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2344C22semidirect
247. #2344C22semidirect
248. #2344C22semidirect
250. C4×#126C22semidirect
252. C4×#123C22semidirect
255. C4×#121C22semidirect
257. C4×#120C22semidirect
258. C42×D4C22semidirect
259. C2×C4×C4⋊C4C22semidirect
276. #560D4semidirect
819. #126C2×D4semidirect
850. #123C2×D4semidirect
888. #121C2×D4semidirect
897. #120C2×D4semidirect
1656. C4#3529semidirect

Maximal subgroups

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

subgroupindex
C2×#35292
#463282
#462762
#459932
#459692
#457682
#457652
#457602
#454882
#454862
#454832
#454822
#454792
#454782
#454532
#454472
#454422
#454402
#361272
#361262
#361182
#361162
#361132
#361032
#361022
#361002
C4×#5602