Finite Group Databasebeta

← #7657318

Subgroups — #7657318

Order 512.

6358 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41051C214yesmaximal, complemented
2#41030C214yesmaximal, complemented
3#40936C214yesmaximal, complemented
4#40920C214yesmaximal, complemented
5#40640C214yesmaximal, complemented
6#40543C212yesmaximal, complemented
7#40540C212yesmaximal, complemented
8#39567C212yesmaximal, complemented
9#39434C212yesmaximal, complemented
10#37975C212yesmaximal, complemented
11#37852C212yesmaximal, complemented
12#37782C212yesmaximal, complemented
13#37662C212yesmaximal, complemented
14#37515C212yesmaximal, complemented
15#37513C212yesmaximal, complemented
16#37476C211yesmaximal, characteristic, complemented
17#37450C211yesmaximal, characteristic, complemented
18#36168C212yesmaximal, complemented
19#36123C212yesmaximal, complemented
20#35706C212yesmaximal, complemented
21#35694C212yesmaximal, complemented
22#35692C214yesmaximal, complemented
23#35259C212yesmaximal, complemented
24#35250C211yesmaximal, characteristic, complemented
25#34609C212yesmaximal, complemented
26C2×#2615C211yesmaximal, characteristic, complemented
27#34246C211yesmaximal, characteristic, complemented
28#34205C211yesmaximal, characteristic, complemented
29C22⋊C4×#41C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#546C2214yescomplemented
32C2×#540C2212yescomplemented
33C2×#535C2212yescomplemented
34C2×#532C2212yescomplemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2212yescomplemented
38C2×#518C2212yes—
39C2×C4×#41C2212yescomplemented
40#2856C2212yescomplemented
41#2854C2212yescomplemented
42#2854C2212yescomplemented
43#2851C2212yescomplemented
44#2847C2212yes—
45#2847C2212yes—
46#2841C2214yescomplemented
47#2832C2214yescomplemented
48#2828C2214yescomplemented
49#2825C2214yescomplemented
50#2825C2214yescomplemented
51#2815C2212yescomplemented
52#2815C2212yescomplemented
53#2798C2214yescomplemented
54#2797C2214yescomplemented
55#2760C2214yescomplemented
56#2759C2214yescomplemented
57#2752C2214yescomplemented
58#2752C2214yescomplemented
59#2749C2214yescomplemented
60#2749C2214yescomplemented
61#2746C2214yescomplemented
62#2741C2214yescomplemented
63#2737C2214yescomplemented
64#2717C2214yescomplemented
65#2712C2214yescomplemented
66#2710C2214yescomplemented
67#2703C2214yescomplemented
68#2699C2214yescomplemented
69#2688C2214yescomplemented
70#2678C2214yescomplemented
71#2678C2214yescomplemented
72#2673C2214yescomplemented
73#2673C2214yescomplemented
74#2671C2214yescomplemented
75#2670C2214yescomplemented
76#2668C2214yescomplemented
77#2667C2212yescomplemented
78#2665C2212yescomplemented
79#2661C2214yescomplemented
80#2661C2214yescomplemented
81#2653C2214yescomplemented
82#2653C2214yescomplemented
83#2635C2214yescomplemented
84#2635C2214yescomplemented
85#2635C2214yescomplemented
86#2635C2214yescomplemented
87#2632C2214yescomplemented
88#2631C2214yescomplemented
89#2631C2214yescomplemented
90#2631C2214yescomplemented
91#2629C2212yescomplemented
92#2628C2212yescomplemented
93#2628C2212yescomplemented
94#2626C2214yes—
95#2624C2212yescomplemented
96#2624C2212yescomplemented
97#2619C2212yescomplemented
98#2619C2212yescomplemented
99#2619C2212yescomplemented
100#2617C2212yes—
101#2617C2212yes—
102#2617C2214yescomplemented
103#2615C2212yes—
104#2615C2212yes—
105#2615C2212yes—
106#2615C2212yes—
107#2615C2211yescharacteristic, complemented
108#2615C2214yescomplemented
109#2615C2211yescharacteristic, complemented
110#2615C2211yescharacteristic, complemented
111#2615C2211yescharacteristic, complemented
112#2615C2212yescomplemented
113#2615C2212yescomplemented
114#2610C2214yescomplemented
115#2602C2214yescomplemented
116#2598C2214yescomplemented
117#2578C2214yescomplemented
118#2572C2214yescomplemented
119#2569C2212yescomplemented
120#2564C2214yescomplemented
121#2557C2214yescomplemented
122#2557C2214yescomplemented
123#2555C2214yescomplemented
124#2555C2214yescomplemented
125#2549C2212yescomplemented
126#2543C2214yescomplemented
127#2539C2214yescomplemented
128#2531C2214yescomplemented
129#2527C2214yescomplemented
130#2523C2214yescomplemented
131#2510C2214yescomplemented
132#2510C2214yescomplemented
133#2510C2214yescomplemented
134#2504C2212yes—
135#2504C2211yescharacteristic, complemented
136#2504C2211yescharacteristic, complemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2494C2212yescomplemented
140#2494C2212yescomplemented
141#2491C2212yescomplemented
142#2491C2212yescomplemented
143#2490C2212yescomplemented
144#2490C2212yescomplemented
145#2472C2214yescomplemented
146#2472C2214yescomplemented
147#2471C2214yescomplemented
148#2471C2214yescomplemented
149#2464C2214yescomplemented
150#2464C2214yescomplemented
151#2464C2214yescomplemented
152#2459C2214yescomplemented
153#2458C2214yescomplemented
154#2458C2214yescomplemented
155#2456C2214yescomplemented
156#2456C2214yescomplemented
157#2456C2214yescomplemented
158#2456C2214yescomplemented
159#2456C2214yescomplemented
160#2456C2214yescomplemented
161#2442C2212yescomplemented
162#2441C2212yescomplemented
163#2440C2212yescomplemented
164#2439C2212yescomplemented
165#2436C2212yes—
166#2433C2212yes—
167#2433C2212yes—
168#2433C2211yescharacteristic, complemented
169#2433C2211yescharacteristic, complemented
170#2431C2214yescomplemented
171#2431C2214yescomplemented
172#2430C2214yescomplemented
173#2428C2212yescomplemented
174#2428C2212yescomplemented
175#2428C2214yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2424C2214yescomplemented
179#2424C2214yescomplemented
180#2422C2212yescomplemented
181#2422C2212yescomplemented
182#2420C2212yescomplemented
183#2420C2212yescomplemented
184#2419C2214yescomplemented
185#2418C2214yescomplemented
186#2418C2214yescomplemented
187#2412C2214yescomplemented
188#2412C2214yescomplemented
189#2410C2214yescomplemented
190#2410C2214yescomplemented
191#2408C2214yescomplemented
192#2404C2214yescomplemented
193#2404C2212yescomplemented
194#2404C2212yescomplemented
195#2403C2214yes—
196#2403C2214yes—
197#2398C2214yescomplemented
198#2397C2214yescomplemented
199#2388C2214yescomplemented
200#2388C2214yescomplemented
201C2×#393C2212yescomplemented
202C2×#392C2214yes—
203C2×#392C2212yescomplemented
204#2364C2212yes—
205#2364C2212yes—
206#2364C2214yescomplemented
207#2363C2212yescomplemented
208#2363C2212yescomplemented
209#2361C2212yes—
210#2361C2212yes—
211#2358C2214yescomplemented
212#2358C2214yescomplemented
213#2353C2214yescomplemented
214#2345C2211yescharacteristic, complemented
215#2345C2211yescharacteristic, complemented
216#2344C2212yescomplemented
217#2342C2214yescomplemented
218#2341C2212yescomplemented
219Q8×C22⋊C4C2211yescharacteristic, complemented
220Q8×C22⋊C4C2211yescharacteristic, complemented
221#2339C2212yescomplemented
222#2339C2212yescomplemented
223#2339C2212yescomplemented
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227D4×C22⋊C4C2212yes—
228D4×C22⋊C4C2212yescomplemented
229D4×C22⋊C4C2211yescharacteristic, complemented
230D4×C22⋊C4C2211yescharacteristic, complemented
231D4×C22⋊C4C2211yescharacteristic, complemented
232D4×C22⋊C4C2211yescharacteristic, complemented
233#2333C2214yescomplemented
234#2325C2214yescomplemented
235#2324C2212yescomplemented
236#2324C2212yescomplemented
237#2314C2212yescomplemented
238#2312C2212yescomplemented
239#2311C2212yescomplemented
240#2308C2212yes—
241C4×#121C2212yescomplemented
242C4×#121C2212yescomplemented
243C4×#121C2212yescomplemented
244C4×#121C2212yescomplemented
245C4×#121C2212yescomplemented
246C4×#121C2212yescomplemented
247#2297C2212yescomplemented
248#2297C2212yescomplemented
249#2297C2212yescomplemented
250#2283C2212yescomplemented
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253#2280C2212yescomplemented
254C2×#380C2211yescharacteristic
255C2×#380C2212yescomplemented
256#2273C2212yescomplemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2311yescharacteristic
267C22×#41C2314yes—
268C23×Q8C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2314yes—
276C24×C4C2312yes—
277C24×C4C2311yescharacteristic
278#546—416no—
279#540—48no—
280#535—48no—
281#532—48no—
282C2×C4⋊Q8C2312yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#125C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—48no—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338#518—48no—
339C4×#41—48no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2312yes—
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
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#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2312yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2312yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2312yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2312yes—
477#392C2312yes—
478#392C2314yes—
479#392C2312yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2312yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#384C2312yes—
633#383C2314yes—
634#383C2314yes—
635#383C2314yes—
636#382C2312yes—
637#382C2312yes—
638#382C2312yes—
639#381C2314yes—
640#381C2314yes—
641#381C2314yes—
642#381C2312yes—
643#381C2311yescharacteristic
644#381C2311yescharacteristic
645#381C2312yes—
646#381C2312yes—
647#381C2314yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2311yescharacteristic
656#380C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2311yescharacteristic
663#380C2311yescharacteristic
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2311yescharacteristic
676#379C2314yes—
677#379C2312yes—
678#379C2312yes—
679#379C2312yes—
680#379C2312yes—
681#379C2312yes—
682#379C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C22⋊C4C2311yescharacteristic
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2311yescharacteristic
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2311yescharacteristic
717#376C2314yes—
718C2×#95C2314yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2412yes—
725C25C2411yescharacteristic
726C25C2412yes—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—28no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—48no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—48no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—464no—
744C2×#41—84no—
745C22×Q8—24no—
746C22×Q8—44no—
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2414yes—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—28no—
754C22×D4—24no—
755C22×D4—24no—
756C22×D4—24no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4—48no—
761C22×D4—44no—
762C22×D4—44no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—48no—
766C22×D4—84no—
767C22×D4—84no—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2411yescharacteristic
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C23×C4—28no—
799C23×C4—28no—
800C23×C4—44no—
801C23×C4—44no—
802C23×C4#4118yescomplemented
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2412yes—
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C4⋊Q8—44no—
828#127—44no—
829#127—44no—
830#127—48no—
831#125—44no—
832#124—48no—
833#124—48no—
834#124—48no—
835#124—84no—
836#123—48no—
837#123—48no—
838#123—48no—
839#123—48no—
840#123—84no—
841#123—84no—
842C22⋊Q8—48no—
843#121—28no—
844#121—24no—
845#121—24no—
846#121—28no—
847#121—24no—
848#121—24no—
849#121—28no—
850#121—28no—
851#121—28no—
852#121—28no—
853#121—28no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—48no—
868#121—48no—
869#121—84no—
870#121—84no—
871#121—84no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—48no—
877#120—48no—
878#120—84no—
879#120—84no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—216no—
883C4×D4—48no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—48no—
891C4×D4—48no—
892C4×D4—48no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—84no—
899C4×D4—84no—
900C4×D4—84no—
901#117—28no—
902#117—44no—
903#117—44no—
904#117—48no—
905#117—44no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C22⋊C4—28no—
939C2×C22⋊C4—28no—
940C2×C22⋊C4—24no—
941C2×C22⋊C4—28no—
942C2×C22⋊C4—28no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—42no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—84no—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C42—28no—
1024C2×C42—44no—
1025C2×C42—44no—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091C24—22no—
1092C24—22no—
1093C24—24no—
1094C24—24no—
1095C24—24no—
1096C24—24no—
1097C24—24no—
1098C24—24no—
1099C24—24no—
1100C24—24no—
1101C24—42no—
1102C24—42no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24—42no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24C2×#4114yes—
1113C24C2512yes—
1114C24C2514yes—
1115C24C2512yes—
1116C24C2512yes—
1117C24C2511yescharacteristic
1118C24C2511yescharacteristic
1119C24C2512yes—
1120C24C2511yescharacteristic
1121#41—232no—
1122#41—432no—
1123#41—416no—
1124#41—432no—
1125#41—416no—
1126#41—416no—
1127#41—832no—
1128C2×Q8—22no—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—24no—
1132C2×Q8—24no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—416no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
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—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—416no—
1220C2×D4—432no—
1221C2×D4—432no—
1222C2×D4—88no—
1223C2×D4—88no—
1224C2×D4—816no—
1225C2×D4—832no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
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—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—416no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—432no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4C2×#4114yes—
1287C22×C4C2×#4114yes—
1288C22×C4C2×#4114yes—
1289C22×C4C2×#4114yes—
1290C22×C4C2×#4114yes—
1291C22×C4C2×#4114yes—
1292C22×C4H(5,𝔽2)18yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C22⋊C4—22no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4H(5,𝔽2)14yes—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—28no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—28no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—44no—
1473C23—44no—
1474C23—48no—
1475C23—48no—
1476C23—48no—
1477C23—48no—
1478C23—48no—
1479C23—48no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—88no—
1488C23—84no—
1489C23—88no—
1490C23—84no—
1491C23—164no—
1492C23—164no—
1493C23C22×#4112yes—
1494C23C22×#4112yes—
1495C23C22×#4112yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×H(5,𝔽2)12yes—
1498C23#58512yes—
1499C23C2611yescharacteristic
1500Q8—28no—
1501Q8—48no—
1502Q8—44no—
1503Q8—88no—
1504D4—28no—
1505D4—216no—
1506D4—48no—
1507D4—48no—
1508D4—44no—
1509D4—48no—
1510D4—416no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—416no—
1515D4—416no—
1516D4—44no—
1517D4—48no—
1518D4—44no—
1519D4—84no—
1520D4—84no—
1521D4—88no—
1522D4—84no—
1523D4—84no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—164no—
1531D4—164no—
1532D4—164no—
1533D4—164no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—28no—
1544C2×C4—216no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—164no—
1607C2×C4—164no—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C2×H(5,𝔽2)14yes—
1613C2×C4C2×H(5,𝔽2)14yes—
1614C2×C4C2×H(5,𝔽2)14yes—
1615C22—22no—
1616C22—22no—
1617C22—24no—
1618C22—24no—
1619C22—22no—
1620C22—24no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—22no—
1627C22—24no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—44no—
1656C22—44no—
1657C22—44no—
1658C22—42no—
1659C22—42no—
1660C22—88no—
1661C22—816no—
1662C22—168no—
1663C22—168no—
1664C22#346014yes—
1665C22C23×#4111yescharacteristic
1666C22C22×H(5,𝔽2)12yes—
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22H(7,𝔽2)12yes—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—24no—
1674C4—24no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—42no—
1681C4—44no—
1682C4—44no—
1683C4—42no—
1684C4—44no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—44no—
1690C4#349014yes—
1691C2—24no—
1692C2—42no—
1693C2—44no—
1694C2—42no—
1695C2—82no—
1696C2—82no—
1697C2—82no—
1698C2—84no—
1699C2C2×#346011yescharacteristic
1700C2C2×#349011yescharacteristic
1701C2#6285511yescharacteristic
1702C2#6291212yes—
1703C2#6295712yes—
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. #41051C2semidirect
2. #41030C2semidirect
3. #40936C2semidirect
4. #40920C2semidirect
5. #40640C2semidirect
6. #40543C2semidirect
7. #40540C2semidirect
8. #39567C2semidirect
9. #39434C2semidirect
10. #37975C2semidirect
11. #37852C2semidirect
12. #37782C2semidirect
13. #37662C2semidirect
14. #37515C2semidirect
15. #37513C2semidirect
16. #37476C2semidirect
17. #37450C2semidirect
18. #36168C2semidirect
19. #36123C2semidirect
20. #35706C2semidirect
21. #35694C2semidirect
22. #35692C2semidirect
23. #35259C2semidirect
24. #35250C2semidirect
25. #34609C2semidirect
26. C2×#2615C2semidirect
27. #34246C2semidirect
28. #34205C2semidirect
29. C22⋊C4×#41C2semidirect
31. C2×#546C22semidirect
32. C2×#540C22semidirect
33. C2×#535C22semidirect
34. C2×#532C22semidirect
37. C22×#121C22semidirect
39. C2×C4×#41C22semidirect
40. #2856C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2851C22semidirect
46. #2841C22semidirect
47. #2832C22semidirect
48. #2828C22semidirect
49. #2825C22semidirect
50. #2825C22semidirect
51. #2815C22semidirect
52. #2815C22semidirect
53. #2798C22semidirect
54. #2797C22semidirect
55. #2760C22semidirect
56. #2759C22semidirect
57. #2752C22semidirect
58. #2752C22semidirect
59. #2749C22semidirect
60. #2749C22semidirect
61. #2746C22semidirect
62. #2741C22semidirect
63. #2737C22semidirect
64. #2717C22semidirect
65. #2712C22semidirect
66. #2710C22semidirect
67. #2703C22semidirect
68. #2699C22semidirect
69. #2688C22semidirect
70. #2678C22semidirect
71. #2678C22semidirect
72. #2673C22semidirect
73. #2673C22semidirect
74. #2671C22semidirect
75. #2670C22semidirect
76. #2668C22semidirect
77. #2667C22semidirect
78. #2665C22semidirect
79. #2661C22semidirect
80. #2661C22semidirect
81. #2653C22semidirect
82. #2653C22semidirect
83. #2635C22semidirect
84. #2635C22semidirect
85. #2635C22semidirect
86. #2635C22semidirect
87. #2632C22semidirect
88. #2631C22semidirect
89. #2631C22semidirect
90. #2631C22semidirect
91. #2629C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
95. #2624C22semidirect
96. #2624C22semidirect
97. #2619C22semidirect
98. #2619C22semidirect
99. #2619C22semidirect
102. #2617C22semidirect
107. #2615C22semidirect
108. #2615C22semidirect
109. #2615C22semidirect
110. #2615C22semidirect
111. #2615C22semidirect
112. #2615C22semidirect
113. #2615C22semidirect
114. #2610C22semidirect
115. #2602C22semidirect
116. #2598C22semidirect
117. #2578C22semidirect
118. #2572C22semidirect
119. #2569C22semidirect
120. #2564C22semidirect
121. #2557C22semidirect
122. #2557C22semidirect
123. #2555C22semidirect
124. #2555C22semidirect
125. #2549C22semidirect
126. #2543C22semidirect
127. #2539C22semidirect
128. #2531C22semidirect
129. #2527C22semidirect
130. #2523C22semidirect
131. #2510C22semidirect
132. #2510C22semidirect
133. #2510C22semidirect
135. #2504C22semidirect
136. #2504C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2494C22semidirect
140. #2494C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
145. #2472C22semidirect
146. #2472C22semidirect
147. #2471C22semidirect
148. #2471C22semidirect
149. #2464C22semidirect
150. #2464C22semidirect
151. #2464C22semidirect
152. #2459C22semidirect
153. #2458C22semidirect
154. #2458C22semidirect
155. #2456C22semidirect
156. #2456C22semidirect
157. #2456C22semidirect
158. #2456C22semidirect
159. #2456C22semidirect
160. #2456C22semidirect
161. #2442C22semidirect
162. #2441C22semidirect
163. #2440C22semidirect
164. #2439C22semidirect
168. #2433C22semidirect
169. #2433C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2428C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2424C22semidirect
179. #2424C22semidirect
180. #2422C22semidirect
181. #2422C22semidirect
182. #2420C22semidirect
183. #2420C22semidirect
184. #2419C22semidirect
185. #2418C22semidirect
186. #2418C22semidirect
187. #2412C22semidirect
188. #2412C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
191. #2408C22semidirect
192. #2404C22semidirect
193. #2404C22semidirect
194. #2404C22semidirect
197. #2398C22semidirect
198. #2397C22semidirect
199. #2388C22semidirect
200. #2388C22semidirect
201. C2×#393C22semidirect
203. C2×#392C22semidirect
206. #2364C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
211. #2358C22semidirect
212. #2358C22semidirect
213. #2353C22semidirect
214. #2345C22semidirect
215. #2345C22semidirect
216. #2344C22semidirect
217. #2342C22semidirect
218. #2341C22semidirect
219. Q8×C22⋊C4C22semidirect
220. Q8×C22⋊C4C22semidirect
221. #2339C22semidirect
222. #2339C22semidirect
223. #2339C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. D4×C22⋊C4C22semidirect
232. D4×C22⋊C4C22semidirect
233. #2333C22semidirect
234. #2325C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
237. #2314C22semidirect
238. #2312C22semidirect
239. #2311C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#121C22semidirect
246. C4×#121C22semidirect
247. #2297C22semidirect
248. #2297C22semidirect
249. #2297C22semidirect
250. #2283C22semidirect
253. #2280C22semidirect
255. C2×#380C22semidirect
256. #2273C22semidirect
258. C2×C4×C22⋊C4C22semidirect
802. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#410512
#410302
#409362
#409202
#406402
#405432
#405402
#395672
#394342
#379752
#378522
#377822
#376622
#375152
#375132
#374762
#374502
#361682
#361232
#357062
#356942
#356922
#352592
#352502
#346092
C2×#26152
#342462
#342052
C22⋊C4×#412