Finite Group Databasebeta

← #7801157

Subgroups — #7801157

Order 512.

5962 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59693C212yesmaximal, complemented
2#59480C212yesmaximal, complemented
3#50032C214yesmaximal, complemented
4#48707C214yesmaximal, complemented
5#47989C214yesmaximal, complemented
6#47878C214yesmaximal, complemented
7#45271C211yesmaximal, characteristic, complemented
8#45211C211yesmaximal, characteristic, complemented
9#45041C211yesmaximal, characteristic, complemented
10#44936C211yesmaximal, characteristic, complemented
11#44178C214yesmaximal, complemented
12#43491C214yesmaximal, complemented
13#43111C214yesmaximal, complemented
14#42997C214yesmaximal, complemented
15#39938C212yesmaximal, complemented
16#39336C212yesmaximal, complemented
17#39169C211yesmaximal, characteristic, complemented
18#39148C212yesmaximal, complemented
19#38969C211yesmaximal, characteristic, complemented
20#38056C212yesmaximal, complemented
21#37331C212yesmaximal, complemented
22#36498C211yesmaximal, characteristic, complemented
23#36260C211yesmaximal, characteristic, complemented
24#35836C211yesmaximal, characteristic, complemented
25#35741C211yesmaximal, characteristic, complemented
26#35730C211yesmaximal, characteristic, complemented
27#35691C211yesmaximal, characteristic, complemented
28#35296C211yesmaximal, characteristic, complemented
29#34879C211yesmaximal, characteristic, complemented
30#34471C212yesmaximal, complemented
31#34210C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#553C2214yescomplemented
34C2×#550C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2214yescomplemented
37C2×D42C2212yes—
38C2×D42C2211yescharacteristic, complemented
39C2×#534C2214yescomplemented
40C22×#127C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic, complemented
43#2864C2211yescharacteristic, complemented
44#2858C2211yescharacteristic, complemented
45#2856C2212yescomplemented
46#2854C2212yescomplemented
47#2854C2212yescomplemented
48#2803C2214yescomplemented
49#2797C2214yescomplemented
50#2756C2214yescomplemented
51#2753C2214yescomplemented
52#2751C2214yescomplemented
53#2749C2214yescomplemented
54#2749C2214yescomplemented
55#2749C2214yescomplemented
56#2749C2214yescomplemented
57#2743C2214yescomplemented
58#2743C2214yescomplemented
59#2728C2214yescomplemented
60#2714C2214yescomplemented
61#2711C2214yescomplemented
62#2706C2214yescomplemented
63#2706C2214yescomplemented
64#2703C2214yescomplemented
65#2703C2214yescomplemented
66#2702C2214yescomplemented
67#2697C2214yescomplemented
68#2696C2214yescomplemented
69#2694C2214yescomplemented
70#2694C2214yescomplemented
71#2693C2214yescomplemented
72#2688C2214yescomplemented
73#2688C2214yescomplemented
74#2688C2214yescomplemented
75#2688C2214yescomplemented
76#2685C2214yescomplemented
77#2685C2214yescomplemented
78#2682C2214yescomplemented
79#2678C2214yescomplemented
80#2676C2214yescomplemented
81#2676C2214yescomplemented
82#2673C2214yescomplemented
83#2673C2214yescomplemented
84#2669C2214yescomplemented
85#2669C2214yescomplemented
86#2668C2214yescomplemented
87#2668C2214yescomplemented
88#2654C2214yescomplemented
89#2644C2212yescomplemented
90#2644C2212yescomplemented
91#2641C2212yescomplemented
92#2638C2212yescomplemented
93#2635C2212yescomplemented
94#2628C2211yescharacteristic, complemented
95#2626C2212yescomplemented
96#2619C2211yescharacteristic
97#2617C2212yes—
98#2613C2214yescomplemented
99#2600C2214yescomplemented
100#2598C2214yescomplemented
101#2597C2214yescomplemented
102#2595C2214yescomplemented
103#2580C2211yescharacteristic, complemented
104#2580C2211yescharacteristic, complemented
105#2575C2214yescomplemented
106#2574C2212yescomplemented
107#2573C2212yescomplemented
108#2572C2212yescomplemented
109#2571C2212yescomplemented
110#2566C2212yescomplemented
111#2564C2212yescomplemented
112#2563C2211yescharacteristic, complemented
113#2561C2212yescomplemented
114#2558C2214yescomplemented
115#2557C2214yescomplemented
116#2553C2212yescomplemented
117#2553C2214yescomplemented
118#2543C2212yescomplemented
119#2543C2214yescomplemented
120#2542C2211yescharacteristic, complemented
121#2541C2212yescomplemented
122#2541C2211yescharacteristic, complemented
123#2541C2211yescharacteristic, complemented
124#2541C2212yescomplemented
125#2540C2214yescomplemented
126#2539C2214yescomplemented
127#2539C2214yescomplemented
128#2539C2212yescomplemented
129#2535C2211yescharacteristic, complemented
130#2535C2211yescharacteristic, complemented
131#2535C2214yescomplemented
132#2534C2214yescomplemented
133#2534C2214yescomplemented
134#2524C2212yescomplemented
135#2515C2212yescomplemented
136#2513C2212yescomplemented
137#2512C2212yescomplemented
138#2506C2212yescomplemented
139#2504C2214yescomplemented
140#2501C2212yescomplemented
141#2497C2212yescomplemented
142#2490C2212yescomplemented
143#2488C2214yescomplemented
144#2487C2212yescomplemented
145#2474C2214yescomplemented
146#2471C2214yescomplemented
147#2471C2214yescomplemented
148#2468C2212yescomplemented
149#2467C2214yescomplemented
150#2464C2214yescomplemented
151#2464C2214yescomplemented
152#2464C2214yescomplemented
153#2460C2214yescomplemented
154#2457C2212yes—
155#2457C2214yescomplemented
156#2457C2214yescomplemented
157#2457C2214yescomplemented
158#2456C2214yescomplemented
159#2456C2214yescomplemented
160#2454C2212yescomplemented
161#2449C2214yescomplemented
162#2445C2212yes—
163#2445C2212yes—
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2442C2212yescomplemented
169#2441C2212yescomplemented
170#2437C2214yescomplemented
171#2433C2212yes—
172#2433C2212yes—
173#2433C2212yescomplemented
174#2428C2212yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2424C2214yescomplemented
179#2424C2214yescomplemented
180#2420C2212yescomplemented
181#2420C2212yescomplemented
182#2420C2214yescomplemented
183#2419C2214yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2416C2214yescomplemented
187#2416C2214yescomplemented
188#2414C2212yes—
189#2412C2214yescomplemented
190#2412C2214yescomplemented
191#2411C2214yescomplemented
192#2410C2214yes—
193#2410C2214yescomplemented
194#2410C2214yescomplemented
195#2408C2212yescomplemented
196#2408C2212yescomplemented
197#2407C2214yescomplemented
198#2407C2214yescomplemented
199#2404C2212yes—
200#2404C2212yescomplemented
201#2404C2214yescomplemented
202#2403C2214yescomplemented
203#2402C2211yescharacteristic, complemented
204#2398C2211yescharacteristic, complemented
205#2396C2211yescharacteristic, complemented
206C2×#399C2212yescomplemented
207#2392C2211yescharacteristic
208#2388C2212yescomplemented
209#2388C2212yescomplemented
210C2×#392C2212yes—
211#2377C2214yescomplemented
212#2375C2214yescomplemented
213#2366C2212yescomplemented
214#2366C2214yescomplemented
215#2366C2212yescomplemented
216#2366C2214yescomplemented
217#2364C2214yescomplemented
218#2363C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2357C2211yescharacteristic, complemented
224#2357C2212yescomplemented
225#2357C2211yescharacteristic, complemented
226#2352C2212yescomplemented
227#2349C2211yescharacteristic, complemented
228#2349C2211yescharacteristic, complemented
229D4×C4⋊C4C2212yescomplemented
230D4×C22⋊C4C2212yes—
231D4×C22⋊C4C2214yescomplemented
232D4×C22⋊C4C2212yescomplemented
233D4×C22⋊C4C2212yescomplemented
234D4×C22⋊C4C2214yescomplemented
235D4×C22⋊C4C2214yescomplemented
236#2335C2214yescomplemented
237#2333C2214yescomplemented
238#2331C2211yescharacteristic, complemented
239#2328C2211yescharacteristic
240#2328C2211yescharacteristic
241#2328C2212yescomplemented
242#2328C2211yescharacteristic, complemented
243#2328C2211yescharacteristic, complemented
244#2328C2211yescharacteristic, complemented
245#2324C2212yescomplemented
246#2321C2214yescomplemented
247#2321C2214yescomplemented
248#2319C2212yescomplemented
249#2309C2211yescharacteristic
250#2309C2211yescharacteristic, complemented
251#2308C2214yescomplemented
252C4×#127C2211yescharacteristic
253C4×#127C2211yescharacteristic
254C4×#127C2211yescharacteristic, complemented
255C4×#127C2211yescharacteristic, complemented
256C4×#126C2212yescomplemented
257C4×#123C2212yescomplemented
258C4×#121C2212yescomplemented
259#2295C2211yescharacteristic, complemented
260#2293C2212yescomplemented
261C2×#390C2212yescomplemented
262#2290C2212yescomplemented
263#2285C2211yescharacteristic, complemented
264#2283C2212yescomplemented
265C42×D4C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2314yes—
272C23×D4C2314yes—
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275#554—44no—
276#553—416no—
277#550—44no—
278#547—44no—
279#546—416no—
280D42—216no—
281D42—44no—
282#534—416no—
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127—28no—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#126C2312yes—
295C2×#126C2314yes—
296C2×#125C2312yes—
297C2×#125C2314yes—
298C2×#124C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344#518—44no—
345#518—44no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2314yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2314yes—
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2311yescharacteristic
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#399C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2312yes—
411#399C2312yes—
412#399C2311yescharacteristic
413#399C2314yes—
414#399C2314yes—
415#398C2312yes—
416#398C2311yescharacteristic
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#397C2311yescharacteristic
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#395C2311yescharacteristic
448#395C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2311yescharacteristic
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#393C2312yes—
476#393C2312yes—
477#393C2312yes—
478#393C2312yes—
479#393C2311yescharacteristic
480#393C2312yes—
481#393C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2312yes—
489#392C2312yes—
490#392C2312yes—
491#392C2312yes—
492#392C2314yes—
493#392C2311yescharacteristic
494#392C2312yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2312yes—
508#391C2314yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2314yes—
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
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#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
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#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#383C2312yes—
671#383C2312yes—
672#383C2312yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2311yescharacteristic
680#382C2312yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2312yes—
685#381C2312yes—
686#381C2312yes—
687#381C2314yes—
688#381C2312yes—
689#381C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707#379C2314yes—
708#379C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738#376C2312yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741C2×#95C2312yes—
742C2×#95C2312yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2414yes—
746C25C2412yes—
747C25C2412yes—
748C2×#41—48no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—84no—
752C22×Q8C2411yescharacteristic
753C22×Q8C2412yes—
754C22×D4—216no—
755C22×D4—216no—
756C22×D4—28no—
757C22×D4—24no—
758C22×D4—42no—
759C22×D4—42no—
760C22×D4—42no—
761C22×D4—42no—
762C22×D4—48no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—84no—
769C22×D4—84no—
770C22×D4#4118yescomplemented
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2411yescharacteristic
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2414yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2414yes—
817C4⋊Q8—24no—
818#127—24no—
819#127—24no—
820#127—216no—
821#127—24no—
822#127—24no—
823#127—28no—
824#127—24no—
825#127—44no—
826#127—44no—
827#126—28no—
828#126—48no—
829#125—44no—
830#125—48no—
831#124—48no—
832#123—28no—
833#123—216no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—48no—
839#123—48no—
840#123—84no—
841#123—84no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846#121—28no—
847#121—216no—
848#121—28no—
849#121—216no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—44no—
858#121—48no—
859#121—44no—
860#121—44no—
861#121—48no—
862#121—44no—
863#121—44no—
864#121—48no—
865#121—84no—
866#121—84no—
867#120—216no—
868#120—216no—
869#120—216no—
870#120—48no—
871#120—48no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—84no—
876#120—84no—
877C4×Q8—24no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—48no—
893C4×D4—44no—
894C4×D4—48no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4—84no—
904C4×D4—84no—
905C4×D4—84no—
906C4×D4—84no—
907#117—24no—
908#117—42no—
909#117—48no—
910#117—42no—
911#117—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—48no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C22⋊C4—44no—
956C2×C22⋊C4—44no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—84no—
963C2×C22⋊C4—84no—
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—24no—
1036C2×C42—44no—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110C24—28no—
1111C24—24no—
1112C24—28no—
1113C24—42no—
1114C24—42no—
1115C24—44no—
1116C24—44no—
1117C24—42no—
1118C24—42no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24C2×#4118yes—
1127C24C2514yes—
1128C24C2512yes—
1129C24C2512yes—
1130C24C2511yescharacteristic
1131C24C2512yes—
1132C24C2512yes—
1133C24C2512yes—
1134#41—816no—
1135#41—816no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—42no—
1139C2×Q8—44no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
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—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—416no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—416no—
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—816no—
1218C2×D4—832no—
1219C2×D4—816no—
1220C2×D4—832no—
1221C2×D4C2×#4114yes—
1222C2×D4C2×#4114yes—
1223C2×D4C2×#4118yes—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4C2×#4114yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
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—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4H(5,𝔽2)18yes—
1408C42—22no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—42no—
1427C42—42no—
1428C42H(5,𝔽2)14yes—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—24no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—24no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—48no—
1465C23—416no—
1466C23—416no—
1467C23—48no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—88no—
1472C23—88no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—164no—
1477C23—162no—
1478C23—164no—
1479C23—164no—
1480C23—164no—
1481C23C22×#4112yes—
1482C23C22×#4114yes—
1483C23C22×#4114yes—
1484C23C2×H(5,𝔽2)14yes—
1485C23C2611yescharacteristic
1486Q8—44no—
1487Q8—84no—
1488D4—28no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—416no—
1493D4—416no—
1494D4—48no—
1495D4—416no—
1496D4—48no—
1497D4—44no—
1498D4—44no—
1499D4—48no—
1500D4—88no—
1501D4—84no—
1502D4—84no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—164no—
1514D4—164no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—162no—
1586C2×C4—162no—
1587C2×C4—164no—
1588C2×C4—162no—
1589C2×C4—162no—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×H(5,𝔽2)14yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)14yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4#58512yes—
1598C22—24no—
1599C22—28no—
1600C22—24no—
1601C22—28no—
1602C22—22no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—42no—
1618C22—44no—
1619C22—42no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—44no—
1635C22—44no—
1636C22—44no—
1637C22—168no—
1638C22—1616no—
1639C22—168no—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)12yes—
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)12yes—
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—24no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4#350514yes—
1669C2—44no—
1670C2—44no—
1671C2—44no—
1672C2—42no—
1673C2—82no—
1674C2—82no—
1675C2—84no—
1676C2C2×#350511yescharacteristic
1677C2#6283211yescharacteristic
1678C2#6287611yescharacteristic
1679C2#6292012yes—
1680C2#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. #59693C2semidirect
2. #59480C2semidirect
3. #50032C2semidirect
4. #48707C2semidirect
5. #47989C2semidirect
6. #47878C2semidirect
7. #45271C2semidirect
8. #45211C2semidirect
9. #45041C2semidirect
10. #44936C2semidirect
11. #44178C2semidirect
12. #43491C2semidirect
13. #43111C2semidirect
14. #42997C2semidirect
15. #39938C2semidirect
16. #39336C2semidirect
17. #39169C2semidirect
18. #39148C2semidirect
19. #38969C2semidirect
20. #38056C2semidirect
21. #37331C2semidirect
22. #36498C2semidirect
23. #36260C2semidirect
24. #35836C2semidirect
25. #35741C2semidirect
26. #35730C2semidirect
27. #35691C2semidirect
28. #35296C2semidirect
29. #34879C2semidirect
30. #34471C2semidirect
31. #34210C2semidirect
32. C2×#554C22semidirect
33. C2×#553C22semidirect
34. C2×#550C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×#534C22semidirect
42. C2×#518C22semidirect
43. #2864C22semidirect
44. #2858C22semidirect
45. #2856C22semidirect
46. #2854C22semidirect
47. #2854C22semidirect
48. #2803C22semidirect
49. #2797C22semidirect
50. #2756C22semidirect
51. #2753C22semidirect
52. #2751C22semidirect
53. #2749C22semidirect
54. #2749C22semidirect
55. #2749C22semidirect
56. #2749C22semidirect
57. #2743C22semidirect
58. #2743C22semidirect
59. #2728C22semidirect
60. #2714C22semidirect
61. #2711C22semidirect
62. #2706C22semidirect
63. #2706C22semidirect
64. #2703C22semidirect
65. #2703C22semidirect
66. #2702C22semidirect
67. #2697C22semidirect
68. #2696C22semidirect
69. #2694C22semidirect
70. #2694C22semidirect
71. #2693C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2688C22semidirect
75. #2688C22semidirect
76. #2685C22semidirect
77. #2685C22semidirect
78. #2682C22semidirect
79. #2678C22semidirect
80. #2676C22semidirect
81. #2676C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2669C22semidirect
85. #2669C22semidirect
86. #2668C22semidirect
87. #2668C22semidirect
88. #2654C22semidirect
89. #2644C22semidirect
90. #2644C22semidirect
91. #2641C22semidirect
92. #2638C22semidirect
93. #2635C22semidirect
94. #2628C22semidirect
95. #2626C22semidirect
98. #2613C22semidirect
99. #2600C22semidirect
100. #2598C22semidirect
101. #2597C22semidirect
102. #2595C22semidirect
103. #2580C22semidirect
104. #2580C22semidirect
105. #2575C22semidirect
106. #2574C22semidirect
107. #2573C22semidirect
108. #2572C22semidirect
109. #2571C22semidirect
110. #2566C22semidirect
111. #2564C22semidirect
112. #2563C22semidirect
113. #2561C22semidirect
114. #2558C22semidirect
115. #2557C22semidirect
116. #2553C22semidirect
117. #2553C22semidirect
118. #2543C22semidirect
119. #2543C22semidirect
120. #2542C22semidirect
121. #2541C22semidirect
122. #2541C22semidirect
123. #2541C22semidirect
124. #2541C22semidirect
125. #2540C22semidirect
126. #2539C22semidirect
127. #2539C22semidirect
128. #2539C22semidirect
129. #2535C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
132. #2534C22semidirect
133. #2534C22semidirect
134. #2524C22semidirect
135. #2515C22semidirect
136. #2513C22semidirect
137. #2512C22semidirect
138. #2506C22semidirect
139. #2504C22semidirect
140. #2501C22semidirect
141. #2497C22semidirect
142. #2490C22semidirect
143. #2488C22semidirect
144. #2487C22semidirect
145. #2474C22semidirect
146. #2471C22semidirect
147. #2471C22semidirect
148. #2468C22semidirect
149. #2467C22semidirect
150. #2464C22semidirect
151. #2464C22semidirect
152. #2464C22semidirect
153. #2460C22semidirect
155. #2457C22semidirect
156. #2457C22semidirect
157. #2457C22semidirect
158. #2456C22semidirect
159. #2456C22semidirect
160. #2454C22semidirect
161. #2449C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
168. #2442C22semidirect
169. #2441C22semidirect
170. #2437C22semidirect
173. #2433C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2424C22semidirect
179. #2424C22semidirect
180. #2420C22semidirect
181. #2420C22semidirect
182. #2420C22semidirect
183. #2419C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
189. #2412C22semidirect
190. #2412C22semidirect
191. #2411C22semidirect
193. #2410C22semidirect
194. #2410C22semidirect
195. #2408C22semidirect
196. #2408C22semidirect
197. #2407C22semidirect
198. #2407C22semidirect
200. #2404C22semidirect
201. #2404C22semidirect
202. #2403C22semidirect
203. #2402C22semidirect
204. #2398C22semidirect
205. #2396C22semidirect
206. C2×#399C22semidirect
208. #2388C22semidirect
209. #2388C22semidirect
211. #2377C22semidirect
212. #2375C22semidirect
213. #2366C22semidirect
214. #2366C22semidirect
215. #2366C22semidirect
216. #2366C22semidirect
217. #2364C22semidirect
218. #2363C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2357C22semidirect
224. #2357C22semidirect
225. #2357C22semidirect
226. #2352C22semidirect
227. #2349C22semidirect
228. #2349C22semidirect
229. D4×C4⋊C4C22semidirect
231. D4×C22⋊C4C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. D4×C22⋊C4C22semidirect
235. D4×C22⋊C4C22semidirect
236. #2335C22semidirect
237. #2333C22semidirect
238. #2331C22semidirect
241. #2328C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2328C22semidirect
245. #2324C22semidirect
246. #2321C22semidirect
247. #2321C22semidirect
248. #2319C22semidirect
250. #2309C22semidirect
251. #2308C22semidirect
254. C4×#127C22semidirect
255. C4×#127C22semidirect
256. C4×#126C22semidirect
257. C4×#123C22semidirect
258. C4×#121C22semidirect
259. #2295C22semidirect
260. #2293C22semidirect
261. C2×#390C22semidirect
262. #2290C22semidirect
263. #2285C22semidirect
264. #2283C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
770. C22×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596932
#594802
#500322
#487072
#479892
#478782
#452712
#452112
#450412
#449362
#441782
#434912
#431112
#429972
#399382
#393362
#391692
#391482
#389692
#380562
#373312
#364982
#362602
#358362
#357412
#357302
#356912
#352962
#348792
#344712
#342102