Finite Group Databasebeta

← #7680851

Subgroups — #7680851

Order 512.

6427 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59802C214yesmaximal, complemented
2#59623C214yesmaximal, complemented
3#59089C214yesmaximal, complemented
4#59045C214yesmaximal, complemented
5#44428C214yesmaximal, complemented
6#44260C214yesmaximal, complemented
7#44238C214yesmaximal, complemented
8#44148C214yesmaximal, complemented
9#39770C211yesmaximal, characteristic, complemented
10#39628C211yesmaximal, characteristic, complemented
11#39282C212yesmaximal, complemented
12#38250C212yesmaximal, complemented
13#38026C212yesmaximal, complemented
14#37898C211yesmaximal, characteristic, complemented
15#37893C211yesmaximal, characteristic, complemented
16#37694C211yesmaximal, characteristic, complemented
17#37694C211yesmaximal, characteristic, complemented
18#36264C212yesmaximal, complemented
19#36191C211yesmaximal, characteristic, complemented
20D4×#127C211yesmaximal, characteristic, complemented
21#35562C212yesmaximal, complemented
22#35524C212yesmaximal, complemented
23#35295C211yesmaximal, characteristic, complemented
24#35293C211yesmaximal, characteristic, complemented
25#35271C211yesmaximal, characteristic, complemented
26#34681C212yesmaximal, complemented
27#34290C212yesmaximal, complemented
28#34280C211yesmaximal, characteristic, complemented
29#34210C211yesmaximal, characteristic, complemented
30#34149C211yesmaximal, characteristic, complemented
31C2×#2328C211yesmaximal, characteristic, complemented
32C2×#551C2214yescomplemented
33C2×D42C2212yes—
34C2×D42C2214yes—
35C2×#540C2211yescharacteristic
36C2×#532C2212yescomplemented
37C22×#127C2211yescharacteristic
38C22×#127C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#525C2214yescomplemented
41C2×#518C2212yescomplemented
42C22×C4×D4C2212yescomplemented
43#2867C2211yescharacteristic
44#2862C2211yescharacteristic, complemented
45#2860C2212yescomplemented
46#2858C2212yescomplemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yescomplemented
50#2851C2211yescharacteristic, complemented
51#2851C2211yescharacteristic, complemented
52#2804C2214yescomplemented
53#2797C2214yescomplemented
54#2797C2214yescomplemented
55#2761C2214yescomplemented
56#2753C2214yescomplemented
57#2732C2214yescomplemented
58#2730C2214yescomplemented
59#2714C2214yescomplemented
60#2714C2214yescomplemented
61#2711C2214yescomplemented
62#2709C2214yescomplemented
63#2709C2214yescomplemented
64#2709C2214yescomplemented
65#2709C2214yescomplemented
66#2703C2214yescomplemented
67#2703C2214yescomplemented
68#2697C2214yescomplemented
69#2691C2214yescomplemented
70#2691C2214yescomplemented
71#2685C2214yescomplemented
72#2684C2214yescomplemented
73#2673C2214yescomplemented
74#2673C2214yescomplemented
75#2670C2214yescomplemented
76#2647C2211yescharacteristic, complemented
77#2647C2211yescharacteristic, complemented
78#2644C2212yescomplemented
79#2641C2211yescharacteristic, complemented
80#2641C2211yescharacteristic, complemented
81#2624C2212yescomplemented
82#2619C2211yescharacteristic, complemented
83#2619C2211yescharacteristic, complemented
84#2619C2212yescomplemented
85#2610C2214yescomplemented
86#2603C2214yescomplemented
87#2600C2214yescomplemented
88#2600C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2580C2212yescomplemented
92#2574C2214yescomplemented
93#2570C2212yescomplemented
94#2559C2214yescomplemented
95#2559C2214yescomplemented
96#2557C2214yescomplemented
97#2557C2214yescomplemented
98#2554C2214yescomplemented
99#2554C2214yescomplemented
100#2548C2212yescomplemented
101#2544C2214yescomplemented
102#2544C2214yescomplemented
103#2544C2214yescomplemented
104#2543C2214yescomplemented
105#2543C2214yescomplemented
106#2541C2212yes—
107#2541C2214yes—
108#2539C2214yescomplemented
109#2534C2214yescomplemented
110#2531C2214yescomplemented
111#2526C2214yescomplemented
112#2520C2214yescomplemented
113#2513C2212yescomplemented
114#2512C2212yescomplemented
115#2479C2214yescomplemented
116#2476C2214yescomplemented
117#2476C2214yescomplemented
118#2472C2214yescomplemented
119#2472C2214yescomplemented
120#2472C2214yescomplemented
121#2472C2214yescomplemented
122#2472C2214yescomplemented
123#2471C2214yescomplemented
124#2471C2214yescomplemented
125#2467C2214yescomplemented
126#2464C2214yescomplemented
127#2461C2214yescomplemented
128#2461C2214yescomplemented
129#2459C2214yescomplemented
130#2459C2214yescomplemented
131#2456C2214yescomplemented
132#2456C2214yescomplemented
133#2452C2212yescomplemented
134#2452C2212yescomplemented
135#2450C2214yes—
136#2450C2214yescomplemented
137#2450C2214yescomplemented
138#2445C2212yescomplemented
139#2445C2212yescomplemented
140#2445C2212yescomplemented
141#2445C2214yescomplemented
142#2445C2212yescomplemented
143#2444C2214yescomplemented
144#2444C2214yescomplemented
145#2444C2214yescomplemented
146#2444C2214yescomplemented
147#2440C2212yescomplemented
148#2439C2212yescomplemented
149#2433C2212yes—
150#2433C2214yes—
151#2433C2212yes—
152#2433C2214yes—
153#2431C2214yescomplemented
154#2431C2214yescomplemented
155#2428C2212yescomplemented
156#2428C2212yescomplemented
157#2425C2214yescomplemented
158#2425C2214yescomplemented
159#2424C2214yescomplemented
160#2424C2214yescomplemented
161#2422C2212yescomplemented
162#2420C2212yescomplemented
163#2416C2212yescomplemented
164#2414C2212yescomplemented
165#2411C2214yescomplemented
166#2411C2214yescomplemented
167#2410C2214yes—
168#2410C2214yescomplemented
169#2410C2214yescomplemented
170#2408C2212yescomplemented
171#2408C2212yescomplemented
172#2407C2214yescomplemented
173#2405C2214yes—
174#2405C2214yescomplemented
175#2405C2214yescomplemented
176#2404C2214yescomplemented
177#2392C2214yescomplemented
178#2388C2214yescomplemented
179#2374C2214yescomplemented
180#2373C2212yescomplemented
181#2373C2212yescomplemented
182#2372C2212yescomplemented
183#2371C2212yescomplemented
184#2368C2214yescomplemented
185#2368C2212yescomplemented
186#2366C2212yescomplemented
187#2366C2214yescomplemented
188#2366C2214yescomplemented
189#2364C2212yes—
190#2364C2214yescomplemented
191#2364C2214yescomplemented
192#2363C2212yescomplemented
193#2363C2214yescomplemented
194#2361C2212yescomplemented
195#2359C2212yes—
196#2359C2212yescomplemented
197#2359C2214yescomplemented
198#2358C2214yescomplemented
199#2358C2214yescomplemented
200#2358C2214yescomplemented
201#2352C2212yes—
202#2349C2212yescomplemented
203D4×C22⋊C4C2214yes—
204D4×C22⋊C4C2212yescomplemented
205D4×C22⋊C4C2212yescomplemented
206D4×C22⋊C4C2214yescomplemented
207D4×C22⋊C4C2214yescomplemented
208#2330C2211yescharacteristic, complemented
209#2328C2211yescharacteristic
210#2328C2211yescharacteristic
211#2328C2211yescharacteristic
212#2328C2211yescharacteristic, complemented
213#2328C2211yescharacteristic, complemented
214#2328C2212yescomplemented
215#2328C2214yescomplemented
216#2328C2212yescomplemented
217#2328C2214yescomplemented
218#2328C2211yescharacteristic, complemented
219#2328C2211yescharacteristic, complemented
220#2328C2212yescomplemented
221#2325C2214yescomplemented
222#2324C2212yescomplemented
223#2324C2212yescomplemented
224#2321C2214yescomplemented
225#2319C2212yescomplemented
226#2314C2211yescharacteristic, complemented
227#2309C2212yescomplemented
228C4×#127C2211yescharacteristic
229C4×#127C2212yescomplemented
230C4×#127C2212yescomplemented
231C4×#125C2211yescharacteristic, complemented
232C4×#121C2212yescomplemented
233C4×#121C2212yescomplemented
234C4×#120C2214yescomplemented
235C4×#120C2214yescomplemented
236#2298C2211yescharacteristic, complemented
237#2298C2211yescharacteristic, complemented
238#2295C2211yescharacteristic, complemented
239#2295C2211yescharacteristic, complemented
240#2293C2212yescomplemented
241#2293C2212yescomplemented
242C2×#390C2212yescomplemented
243#2290C2211yescharacteristic
244#2290C2211yescharacteristic, complemented
245#2290C2211yescharacteristic, complemented
246#2290C2211yescharacteristic, complemented
247C2×#386C2214yes—
248C2×#386C2214yescomplemented
249C2×#386C2214yescomplemented
250#2285C2211yescharacteristic, complemented
251C2×#382C2211yescharacteristic, complemented
252#2275C2212yescomplemented
253C42×D4C2211yescharacteristic
254C42×D4C2211yescharacteristic, complemented
255C4×#117C2211yescharacteristic, complemented
256C4×#117C2211yescharacteristic, complemented
257C4×#117C2211yescharacteristic, complemented
258C2×#376C2211yescharacteristic, complemented
259C22×#41C2314yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2314yes—
264C23×D4C2314yes—
265C24×C4C2314yes—
266#551—416no—
267D42—216no—
268D42—416no—
269#540—28no—
270#532—48no—
271C2×C4⋊Q8C2312yes—
272C2×#127—28no—
273C2×#127—28no—
274C2×#127C2312yes—
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2314yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#127C2314yes—
284C2×#127C2311yescharacteristic
285#529—28no—
286C2×#126C2311yescharacteristic
287C2×#126C2311yescharacteristic
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2311yescharacteristic
291C2×#125C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—416no—
298C2×#123C2311yescharacteristic
299C2×#123C2311yescharacteristic
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2311yescharacteristic
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335#518—48no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4—48no—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#399C2314yes—
391#399C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#395C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#390C2314yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2314yes—
475#390C2314yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2312yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2312yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2312yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2312yes—
551#387C2312yes—
552#387C2312yes—
553#387C2314yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2312yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2312yes—
604#386C2314yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2312yes—
626#385C2314yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#384C2311yescharacteristic
632#384C2312yes—
633#382C2311yescharacteristic
634#382C2312yes—
635#382C2312yes—
636#382C2314yes—
637#382C2311yescharacteristic
638#382C2311yescharacteristic
639#381C2314yes—
640#381C2314yes—
641#380C2312yes—
642#380C2314yes—
643#380C2314yes—
644#380C2312yes—
645#380C2314yes—
646#380C2312yes—
647#379C2314yes—
648#379C2314yes—
649#379C2314yes—
650#379C2314yes—
651#379C2314yes—
652#379C2314yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2314yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2311yescharacteristic
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2311yescharacteristic
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2311yescharacteristic
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2311yescharacteristic
671C4×C22⋊C4C2312yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2312yes—
675C4×C22⋊C4C2311yescharacteristic
676C4×C22⋊C4C2311yescharacteristic
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2312yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2311yescharacteristic
692C4×C22⋊C4C2311yescharacteristic
693C4×C22⋊C4C2311yescharacteristic
694C4×C22⋊C4C2311yescharacteristic
695#376C2311yescharacteristic
696#376C2311yescharacteristic
697#376C2311yescharacteristic
698#376C2311yescharacteristic
699#376C2312yes—
700#376C2312yes—
701#376C2311yescharacteristic
702#376C2311yescharacteristic
703#376C2312yes—
704C2×#95C2314yes—
705C2×#95C2314yes—
706C2×#95C2312yes—
707C2×#95C2312yes—
708C2×#95C2314yes—
709C43C2311yescharacteristic
710C43C2311yescharacteristic
711C43C2311yescharacteristic
712C43C2311yescharacteristic
713C25C2414yes—
714C25C2414yes—
715C2×#41—48no—
716C2×#41—48no—
717C2×#41—84no—
718C22×Q8C2411yescharacteristic
719C22×Q8C2414yes—
720C22×D4—28no—
721C22×D4—28no—
722C22×D4—216no—
723C22×D4—216no—
724C22×D4—216no—
725C22×D4—28no—
726C22×D4—28no—
727C22×D4—44no—
728C22×D4—44no—
729C22×D4—48no—
730C22×D4—48no—
731C22×D4—48no—
732C22×D4—48no—
733C22×D4—84no—
734C22×D4—84no—
735C22×D4C2411yescharacteristic
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C23×C4—48no—
760C23×C4—48no—
761C23×C4—84no—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C4⋊Q8—44no—
782#127—28no—
783#127—216no—
784#127—216no—
785#127—28no—
786#127—24no—
787#127—24no—
788#127—28no—
789#127—44no—
790#127—48no—
791#127—84no—
792#127#4118yescomplemented
793#126—24no—
794#126—24no—
795#126—48no—
796#126—48no—
797#125—24no—
798#125—24no—
799#124—24no—
800#124—48no—
801#124—48no—
802#124—84no—
803#124—84no—
804#123—24no—
805#123—216no—
806#123—24no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812#123—84no—
813C22⋊Q8—24no—
814C22⋊Q8—216no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817#121—24no—
818#121—216no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—216no—
823#121—48no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—48no—
831#121—48no—
832#121—84no—
833#120—216no—
834#120—216no—
835#120—216no—
836#120—216no—
837#120—48no—
838#120—48no—
839#120—48no—
840#120—84no—
841C4×Q8—24no—
842C4×D4—28no—
843C4×D4—24no—
844C4×D4—24no—
845C4×D4—28no—
846C4×D4—28no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—48no—
852C4×D4—48no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—48no—
866C4×D4—84no—
867C4×D4—84no—
868C4×D4—84no—
869C4×D4#4118yescomplemented
870#117—24no—
871#117—28no—
872#117—24no—
873#117—24no—
874#117—24no—
875#117—48no—
876#117—48no—
877#117—44no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C22⋊C4—48no—
917C2×C22⋊C4—48no—
918C2×C22⋊C4—48no—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—84no—
922C2×C22⋊C4—84no—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2411yescharacteristic
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C42—24no—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071C24—28no—
1072C24—28no—
1073C24—28no—
1074C24—28no—
1075C24—28no—
1076C24—28no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24C2514yes—
1086C24C2514yes—
1087C24C2511yescharacteristic
1088C24C2511yescharacteristic
1089C24C2514yes—
1090C24C2511yescharacteristic
1091#41—832no—
1092C2×Q8—22no—
1093C2×Q8—28no—
1094C2×Q8—44no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×D4—24no—
1098C2×D4—22no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—22no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—432no—
1131C2×D4—432no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—832no—
1166C2×D4—832no—
1167C2×D4—832no—
1168C2×D4C2×#4118yes—
1169C2×D4C2×#4114yes—
1170C2×D4C2×#41116yes—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—832no—
1225C22×C4C2×#4114yes—
1226C22×C4C2×#4114yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2514yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4C2×#4114yes—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—28no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—28no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4C2×#4114yes—
1355C22⋊C4C2×#4114yes—
1356C22⋊C4H(5,𝔽2)18yes—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—22no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—42no—
1383C42—42no—
1384C42C2×#4114yes—
1385C42C2×#4114yes—
1386C42H(5,𝔽2)14yes—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—24no—
1391C23—21no—
1392C23—21no—
1393C23—24no—
1394C23—24no—
1395C23—24no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—21no—
1401C23—21no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—21no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—416no—
1420C23—416no—
1421C23—416no—
1422C23—416no—
1423C23—416no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—88no—
1431C23—164no—
1432C23—164no—
1433C23C22×#4112yes—
1434C23C22×#4118yes—
1435C23C22×#4112yes—
1436C23C2×H(5,𝔽2)14yes—
1437C23C2611yescharacteristic
1438Q8—82no—
1439Q8—88no—
1440D4—28no—
1441D4—216no—
1442D4—416no—
1443D4—416no—
1444D4—416no—
1445D4—416no—
1446D4—416no—
1447D4—44no—
1448D4—416no—
1449D4—48no—
1450D4—48no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—82no—
1459D4—88no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—28no—
1479C2×C4—28no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—416no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—88no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—82no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4—88no—
1537C2×C4—164no—
1538C2×C4—164no—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C2×H(5,𝔽2)14yes—
1547C2×C4C2×H(5,𝔽2)14yes—
1548C2×C4C2×H(5,𝔽2)14yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C22—24no—
1551C22—22no—
1552C22—24no—
1553C22—22no—
1554C22—28no—
1555C22—28no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—28no—
1560C22—42no—
1561C22—44no—
1562C22—44no—
1563C22—44no—
1564C22—44no—
1565C22—42no—
1566C22—44no—
1567C22—44no—
1568C22—42no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22—41no—
1573C22—44no—
1574C22—41no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—41no—
1583C22—44no—
1584C22—44no—
1585C22—832no—
1586C22—1616no—
1587C22#350814yes—
1588C22C23×#4111yescharacteristic
1589C22C23×#4111yescharacteristic
1590C22C22×H(5,𝔽2)12yes—
1591C22C22×H(5,𝔽2)11yescharacteristic
1592C22H(7,𝔽2)12yes—
1593C4—24no—
1594C4—24no—
1595C4—22no—
1596C4—22no—
1597C4—24no—
1598C4—24no—
1599C4—22no—
1600C4—22no—
1601C4—42no—
1602C4—42no—
1603C4—44no—
1604C4—41no—
1605C4—41no—
1606C4—44no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—44no—
1613C4—44no—
1614C4—44no—
1615C4—42no—
1616C4—41no—
1617C4#348114yes—
1618C2—24no—
1619C2—48no—
1620C2—42no—
1621C2—81no—
1622C2—84no—
1623C2—84no—
1624C2C2×#348111yescharacteristic
1625C2C2×#350811yescharacteristic
1626C2#6285811yescharacteristic
1627C2#6291212yes—
1628C2#6298312yes—
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. #59802C2semidirect
2. #59623C2semidirect
3. #59089C2semidirect
4. #59045C2semidirect
5. #44428C2semidirect
6. #44260C2semidirect
7. #44238C2semidirect
8. #44148C2semidirect
9. #39770C2semidirect
10. #39628C2semidirect
11. #39282C2semidirect
12. #38250C2semidirect
13. #38026C2semidirect
14. #37898C2semidirect
15. #37893C2semidirect
16. #37694C2semidirect
17. #37694C2semidirect
18. #36264C2semidirect
19. #36191C2semidirect
20. D4×#127C2semidirect
21. #35562C2semidirect
22. #35524C2semidirect
23. #35295C2semidirect
24. #35293C2semidirect
25. #35271C2semidirect
26. #34681C2semidirect
27. #34290C2semidirect
28. #34280C2semidirect
29. #34210C2semidirect
30. #34149C2semidirect
31. C2×#2328C2semidirect
32. C2×#551C22semidirect
36. C2×#532C22semidirect
40. C2×#525C22semidirect
41. C2×#518C22semidirect
42. C22×C4×D4C22semidirect
44. #2862C22semidirect
45. #2860C22semidirect
46. #2858C22semidirect
49. #2854C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
52. #2804C22semidirect
53. #2797C22semidirect
54. #2797C22semidirect
55. #2761C22semidirect
56. #2753C22semidirect
57. #2732C22semidirect
58. #2730C22semidirect
59. #2714C22semidirect
60. #2714C22semidirect
61. #2711C22semidirect
62. #2709C22semidirect
63. #2709C22semidirect
64. #2709C22semidirect
65. #2709C22semidirect
66. #2703C22semidirect
67. #2703C22semidirect
68. #2697C22semidirect
69. #2691C22semidirect
70. #2691C22semidirect
71. #2685C22semidirect
72. #2684C22semidirect
73. #2673C22semidirect
74. #2673C22semidirect
75. #2670C22semidirect
76. #2647C22semidirect
77. #2647C22semidirect
78. #2644C22semidirect
79. #2641C22semidirect
80. #2641C22semidirect
81. #2624C22semidirect
82. #2619C22semidirect
83. #2619C22semidirect
84. #2619C22semidirect
85. #2610C22semidirect
86. #2603C22semidirect
87. #2600C22semidirect
88. #2600C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2580C22semidirect
92. #2574C22semidirect
93. #2570C22semidirect
94. #2559C22semidirect
95. #2559C22semidirect
96. #2557C22semidirect
97. #2557C22semidirect
98. #2554C22semidirect
99. #2554C22semidirect
100. #2548C22semidirect
101. #2544C22semidirect
102. #2544C22semidirect
103. #2544C22semidirect
104. #2543C22semidirect
105. #2543C22semidirect
108. #2539C22semidirect
109. #2534C22semidirect
110. #2531C22semidirect
111. #2526C22semidirect
112. #2520C22semidirect
113. #2513C22semidirect
114. #2512C22semidirect
115. #2479C22semidirect
116. #2476C22semidirect
117. #2476C22semidirect
118. #2472C22semidirect
119. #2472C22semidirect
120. #2472C22semidirect
121. #2472C22semidirect
122. #2472C22semidirect
123. #2471C22semidirect
124. #2471C22semidirect
125. #2467C22semidirect
126. #2464C22semidirect
127. #2461C22semidirect
128. #2461C22semidirect
129. #2459C22semidirect
130. #2459C22semidirect
131. #2456C22semidirect
132. #2456C22semidirect
133. #2452C22semidirect
134. #2452C22semidirect
136. #2450C22semidirect
137. #2450C22semidirect
138. #2445C22semidirect
139. #2445C22semidirect
140. #2445C22semidirect
141. #2445C22semidirect
142. #2445C22semidirect
143. #2444C22semidirect
144. #2444C22semidirect
145. #2444C22semidirect
146. #2444C22semidirect
147. #2440C22semidirect
148. #2439C22semidirect
153. #2431C22semidirect
154. #2431C22semidirect
155. #2428C22semidirect
156. #2428C22semidirect
157. #2425C22semidirect
158. #2425C22semidirect
159. #2424C22semidirect
160. #2424C22semidirect
161. #2422C22semidirect
162. #2420C22semidirect
163. #2416C22semidirect
164. #2414C22semidirect
165. #2411C22semidirect
166. #2411C22semidirect
168. #2410C22semidirect
169. #2410C22semidirect
170. #2408C22semidirect
171. #2408C22semidirect
172. #2407C22semidirect
174. #2405C22semidirect
175. #2405C22semidirect
176. #2404C22semidirect
177. #2392C22semidirect
178. #2388C22semidirect
179. #2374C22semidirect
180. #2373C22semidirect
181. #2373C22semidirect
182. #2372C22semidirect
183. #2371C22semidirect
184. #2368C22semidirect
185. #2368C22semidirect
186. #2366C22semidirect
187. #2366C22semidirect
188. #2366C22semidirect
190. #2364C22semidirect
191. #2364C22semidirect
192. #2363C22semidirect
193. #2363C22semidirect
194. #2361C22semidirect
196. #2359C22semidirect
197. #2359C22semidirect
198. #2358C22semidirect
199. #2358C22semidirect
200. #2358C22semidirect
202. #2349C22semidirect
204. D4×C22⋊C4C22semidirect
205. D4×C22⋊C4C22semidirect
206. D4×C22⋊C4C22semidirect
207. D4×C22⋊C4C22semidirect
208. #2330C22semidirect
212. #2328C22semidirect
213. #2328C22semidirect
214. #2328C22semidirect
215. #2328C22semidirect
216. #2328C22semidirect
217. #2328C22semidirect
218. #2328C22semidirect
219. #2328C22semidirect
220. #2328C22semidirect
221. #2325C22semidirect
222. #2324C22semidirect
223. #2324C22semidirect
224. #2321C22semidirect
225. #2319C22semidirect
226. #2314C22semidirect
227. #2309C22semidirect
229. C4×#127C22semidirect
230. C4×#127C22semidirect
231. C4×#125C22semidirect
232. C4×#121C22semidirect
233. C4×#121C22semidirect
234. C4×#120C22semidirect
235. C4×#120C22semidirect
236. #2298C22semidirect
237. #2298C22semidirect
238. #2295C22semidirect
239. #2295C22semidirect
240. #2293C22semidirect
241. #2293C22semidirect
242. C2×#390C22semidirect
244. #2290C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
248. C2×#386C22semidirect
249. C2×#386C22semidirect
250. #2285C22semidirect
251. C2×#382C22semidirect
252. #2275C22semidirect
254. C42×D4C22semidirect
255. C4×#117C22semidirect
256. C4×#117C22semidirect
257. C4×#117C22semidirect
258. C2×#376C22semidirect
792. #127#41semidirect
869. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598022
#596232
#590892
#590452
#444282
#442602
#442382
#441482
#397702
#396282
#392822
#382502
#380262
#378982
#378932
#376942
#362642
#361912
D4×#1272
#355622
#355242
#352952
#352932
#352712
#346812
#342902
#342802
#342102
#341492
C2×#23282