Finite Group Databasebeta

← #8636391

Subgroups — #8636391

Order 512.

6948 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59414C212yesmaximal, complemented
2#57961C212yesmaximal, complemented
3#55105C214yesmaximal, complemented
4#53508C214yesmaximal, complemented
5#52969C211yesmaximal, characteristic, complemented
6#49763C214yesmaximal, complemented
7#49545C214yesmaximal, complemented
8#47942C214yesmaximal, complemented
9#47031C212yesmaximal, complemented
10#46355C214yesmaximal, complemented
11#45647C212yesmaximal, complemented
12#45487C211yesmaximal, characteristic, complemented
13#45355C211yesmaximal, characteristic, complemented
14#44936C212yesmaximal, complemented
15#42996C212yesmaximal, complemented
16#42966C211yesmaximal, characteristic, complemented
17#42484C212yesmaximal, complemented
18#40584C212yesmaximal, complemented
19#39745C212yesmaximal, complemented
20#39464C211yesmaximal, characteristic, complemented
21#39361C212yesmaximal, complemented
22#39336C212yesmaximal, complemented
23#37674C212yesmaximal, complemented
24#37332C212yesmaximal, complemented
25D4×#127C212yesmaximal, complemented
26#35921C211yesmaximal, characteristic, complemented
27#35562C212yesmaximal, complemented
28#35109C212yesmaximal, complemented
29#34921C211yesmaximal, characteristic, complemented
30C2×#560C2212yescomplemented
31C2×#559C2212yescomplemented
32C2×#550C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×#546C2211yescharacteristic, complemented
35C2×D42C2212yescomplemented
36C2×D42C2214yescomplemented
37C2×D42C2212yescomplemented
38C2×D42C2214yescomplemented
39C2×D42C2212yescomplemented
40C2×D42C2211yescharacteristic, complemented
41C2×#535C2214yescomplemented
42C2×#535C2211yescharacteristic, complemented
43C2×#534C2214yescomplemented
44C22×#127C2211yescharacteristic, complemented
45C22×#127C2212yescomplemented
46#2867C2212yescomplemented
47#2856C2212yescomplemented
48#2856C2212yescomplemented
49#2855C2211yescharacteristic, complemented
50#2854C2212yescomplemented
51#2850C2212yescomplemented
52#2829C2214yescomplemented
53#2828C2212yescomplemented
54#2815C2214yescomplemented
55#2815C2212yescomplemented
56#2813C2214yescomplemented
57#2813C2212yescomplemented
58#2812C2212yescomplemented
59#2797C2214yescomplemented
60#2752C2214yescomplemented
61#2752C2214yescomplemented
62#2714C2214yescomplemented
63#2714C2214yescomplemented
64#2709C2214yescomplemented
65#2706C2214yescomplemented
66#2703C2214yescomplemented
67#2699C2214yescomplemented
68#2699C2214yescomplemented
69#2699C2212yescomplemented
70#2688C2214yescomplemented
71#2688C2214yescomplemented
72#2688C2214yescomplemented
73#2685C2214yescomplemented
74#2679C2214yescomplemented
75#2678C2214yescomplemented
76#2678C2214yescomplemented
77#2678C2214yescomplemented
78#2678C2214yescomplemented
79#2678C2214yescomplemented
80#2675C2212yescomplemented
81#2673C2214yescomplemented
82#2673C2214yescomplemented
83#2673C2214yescomplemented
84#2673C2214yescomplemented
85#2673C2214yescomplemented
86#2673C2214yescomplemented
87#2673C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2671C2214yescomplemented
93#2670C2214yescomplemented
94#2670C2214yescomplemented
95#2670C2214yescomplemented
96#2669C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2212yescomplemented
106#2668C2212yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2668C2212yescomplemented
111#2668C2214yescomplemented
112#2668C2212yescomplemented
113#2661C2212yescomplemented
114#2657C2212yescomplemented
115#2657C2211yescharacteristic, complemented
116#2656C2212yescomplemented
117#2651C2214yescomplemented
118#2635C2214yescomplemented
119#2635C2214yescomplemented
120#2624C2211yescharacteristic, complemented
121#2619C2212yescomplemented
122#2619C2214yescomplemented
123#2617C2212yescomplemented
124#2613C2212yescomplemented
125#2613C2214yescomplemented
126#2613C2214yescomplemented
127#2607C2211yescharacteristic, complemented
128#2602C2212yescomplemented
129#2600C2211yescharacteristic, complemented
130#2596C2212yescomplemented
131#2589C2212yescomplemented
132#2580C2212yescomplemented
133#2575C2212yescomplemented
134#2570C2212yescomplemented
135#2559C2214yescomplemented
136#2557C2212yescomplemented
137#2557C2214yescomplemented
138#2557C2214yescomplemented
139#2548C2212yescomplemented
140#2548C2212yescomplemented
141#2544C2212yescomplemented
142#2544C2212yescomplemented
143#2541C2212yes—
144#2541C2214yescomplemented
145#2541C2214yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2211yescharacteristic, complemented
150#2541C2212yescomplemented
151#2540C2212yescomplemented
152#2540C2211yescharacteristic, complemented
153#2539C2214yescomplemented
154#2539C2214yescomplemented
155#2539C2212yescomplemented
156#2539C2212yescomplemented
157#2535C2212yescomplemented
158#2535C2212yescomplemented
159#2517C2211yescharacteristic, complemented
160#2516C2214yescomplemented
161#2513C2212yescomplemented
162#2512C2212yescomplemented
163#2476C2214yescomplemented
164#2476C2214yescomplemented
165#2471C2214yescomplemented
166#2471C2214yescomplemented
167#2467C2214yescomplemented
168#2464C2214yescomplemented
169#2464C2214yescomplemented
170#2459C2214yescomplemented
171#2459C2212yescomplemented
172#2456C2214yescomplemented
173#2455C2211yescharacteristic, complemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2435C2211yescharacteristic, complemented
178#2435C2212yescomplemented
179#2433C2212yescomplemented
180#2433C2214yescomplemented
181#2433C2214yescomplemented
182#2433C2214yescomplemented
183#2433C2212yescomplemented
184#2433C2214yescomplemented
185#2433C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2433C2212yescomplemented
189#2433C2212yescomplemented
190#2433C2212yescomplemented
191#2433C2214yescomplemented
192#2433C2212yescomplemented
193#2433C2211yescharacteristic, complemented
194#2431C2214yescomplemented
195#2431C2212yescomplemented
196#2431C2214yescomplemented
197#2431C2214yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2425C2214yescomplemented
209#2423C2212yescomplemented
210#2422C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2418C2214yescomplemented
214#2410C2212yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2211yescharacteristic, complemented
221#2408C2212yescomplemented
222#2408C2211yescharacteristic, complemented
223#2408C2214yescomplemented
224#2405C2212yescomplemented
225#2404C2214yescomplemented
226#2404C2214yescomplemented
227#2403C2212yes—
228#2403C2212yescomplemented
229#2403C2214yescomplemented
230#2403C2214yescomplemented
231#2403C2214yescomplemented
232#2403C2214yescomplemented
233#2398C2212yescomplemented
234#2397C2211yescharacteristic
235#2395C2211yescharacteristic, complemented
236C2×#392C2212yescomplemented
237#2375C2214yescomplemented
238#2358C2214yescomplemented
239#2341C2211yescharacteristic, complemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2211yescharacteristic, complemented
242#2333C2214yescomplemented
243#2333C2214yescomplemented
244#2328C2212yescomplemented
245#2328C2212yescomplemented
246#2328C2212yescomplemented
247#2319C2212yescomplemented
248#2308C2212yescomplemented
249C4×#127C2212yescomplemented
250C4×#124C2212yescomplemented
251C4×#124C2212yescomplemented
252C4×#123C2211yescharacteristic, complemented
253C4×#123C2212yescomplemented
254#2295C2212yescomplemented
255#2293C2212yescomplemented
256#2290C2212yescomplemented
257#2275C2211yescharacteristic, complemented
258C42×D4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2314yes—
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2312yes—
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273C23×D4C2314yes—
274#560—48no—
275#559—48no—
276#550—48no—
277#546—48no—
278#546—44no—
279D42—48no—
280D42—48no—
281D42—48no—
282D42—416no—
283D42—416no—
284D42—44no—
285#535—416no—
286#535—44no—
287#534—416no—
288C2×#127—44no—
289C2×#127—48no—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2314yes—
297C2×#127C2314yes—
298C2×#127C2314yes—
299C2×#127C2312yes—
300C2×#127C2312yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305C2×#127C2314yes—
306C2×#127C2314yes—
307C2×#127C2314yes—
308C2×#127C2314yes—
309C2×#127C2314yes—
310C2×#126C2314yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2314yes—
317C2×#124C2314yes—
318C2×#123C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2312yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2312yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2312yes—
395C2×#120C2314yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2314yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2312yes—
420C22×C42C2312yes—
421C22×C42C2311yescharacteristic
422#400C2314yes—
423#400C2311yescharacteristic
424#400C2312yes—
425#400C2312yes—
426#399C2312yes—
427#399C2312yes—
428#399C2314yes—
429#399C2311yescharacteristic
430#399C2311yescharacteristic
431#399C2311yescharacteristic
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2311yescharacteristic
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2311yescharacteristic
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2311yescharacteristic
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2311yescharacteristic
521#392C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2311yescharacteristic
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2311yescharacteristic
676#384C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#381C2311yescharacteristic
681#381C2312yes—
682#381C2314yes—
683#381C2312yes—
684#381C2314yes—
685#381C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2311yescharacteristic
691#379C2312yes—
692#379C2312yes—
693#379C2314yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2312yes—
698#379C2314yes—
699#379C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724#376C2312yes—
725#376C2311yescharacteristic
726C2×#95C2312yes—
727C43C2312yes—
728C25C2412yes—
729C25C2414yes—
730C25C2414yes—
731C25C2412yes—
732C25C2412yes—
733C2×#41—24no—
734C2×#41—48no—
735C2×#41—44no—
736C2×#41—48no—
737C2×#41—84no—
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×D4—28no—
741C22×D4—24no—
742C22×D4—28no—
743C22×D4—44no—
744C22×D4—42no—
745C22×D4—48no—
746C22×D4—42no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—44no—
761C22×D4—44no—
762C22×D4—44no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—48no—
769C22×D4—48no—
770C22×D4—48no—
771C22×D4—82no—
772C22×D4—84no—
773C22×D4—84no—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2411yescharacteristic
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2412yes—
817C22×D4C2414yes—
818C22×D4C2414yes—
819C22×D4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2411yescharacteristic
835#127—28no—
836#127—28no—
837#127—28no—
838#127—28no—
839#127—44no—
840#127—44no—
841#127—44no—
842#127—48no—
843#127—42no—
844#127—48no—
845#127—48no—
846#127—44no—
847#127—44no—
848#127—44no—
849#127—48no—
850#127—48no—
851#127—48no—
852#127—48no—
853#127—44no—
854#127—84no—
855#126—48no—
856#124—28no—
857#124—28no—
858#124—44no—
859#124—42no—
860#124—44no—
861#124—48no—
862#124—48no—
863#123—24no—
864#123—28no—
865#123—48no—
866#123—48no—
867#123—48no—
868#123—48no—
869#123—48no—
870#123—48no—
871#123—44no—
872#123—48no—
873C22⋊Q8—42no—
874C22⋊Q8—44no—
875#121—216no—
876#121—216no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—48no—
898#121—48no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—48no—
903#121—48no—
904#121—42no—
905#121—44no—
906#121—48no—
907#121—44no—
908#121—44no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—84no—
913#120—216no—
914#120—216no—
915#120—48no—
916#120—48no—
917#120—48no—
918#120—48no—
919#120—48no—
920#120—48no—
921#120—48no—
922#120—48no—
923#120—48no—
924#120—48no—
925#120—48no—
926#120—48no—
927#120—48no—
928#120—48no—
929#120—48no—
930#120—48no—
931#120—48no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—44no—
936#120—48no—
937#120—48no—
938#120—44no—
939#120—84no—
940#120—82no—
941C4×Q8—28no—
942C4×Q8—44no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—48no—
959#117—42no—
960#117—48no—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C22⋊C4—48no—
990C2×C22⋊C4—48no—
991C2×C22⋊C4—44no—
992C2×C22⋊C4—82no—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C42—42no—
1070C2×C42—44no—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24—24no—
1129C24—28no—
1130C24—24no—
1131C24—28no—
1132C24—28no—
1133C24—24no—
1134C24—44no—
1135C24—42no—
1136C24—42no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—42no—
1152C24—44no—
1153C24—44no—
1154C24—42no—
1155C24—42no—
1156C24—42no—
1157C24C2511yescharacteristic
1158C24C2514yes—
1159C24C2514yes—
1160C24C2514yes—
1161C24C2512yes—
1162C24C2512yes—
1163C24C2511yescharacteristic
1164C24C2512yes—
1165#41—88no—
1166#41—832no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—42no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—22no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—44no—
1217C2×D4—41no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—41no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—41no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—816no—
1301C2×D4—88no—
1302C2×D4—816no—
1303C2×D4—816no—
1304C2×D4—816no—
1305C2×D4—88no—
1306C2×D4—88no—
1307C2×D4—832no—
1308C2×D4—832no—
1309C2×D4—832no—
1310C2×D4—832no—
1311C2×D4—832no—
1312C2×D4—816no—
1313C2×D4H(5,𝔽2)14yes—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—41no—
1337C22×C4—42no—
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—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4H(5,𝔽2)14yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—41no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—41no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4H(5,𝔽2)18yes—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—22no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C42—42no—
1494C42H(5,𝔽2)18yes—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—24no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—21no—
1511C23—22no—
1512C23—24no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—24no—
1525C23—24no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—22no—
1531C23—24no—
1532C23—24no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—22no—
1538C23—24no—
1539C23—21no—
1540C23—416no—
1541C23—48no—
1542C23—84no—
1543C23—88no—
1544C23—88no—
1545C23—84no—
1546C23—88no—
1547C23—88no—
1548C23—88no—
1549C23—88no—
1550C23—84no—
1551C23—88no—
1552C23—88no—
1553C23—88no—
1554C23—88no—
1555C23—84no—
1556C23—84no—
1557C23—88no—
1558C23—84no—
1559C23—88no—
1560C23—164no—
1561C23—164no—
1562C23—164no—
1563C23—164no—
1564C23—164no—
1565C23—164no—
1566C23—162no—
1567C23—164no—
1568C23—162no—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2×H(5,𝔽2)14yes—
1571C23C2×H(5,𝔽2)14yes—
1572C23C2611yescharacteristic
1573Q8—48no—
1574Q8—44no—
1575D4—216no—
1576D4—28no—
1577D4—416no—
1578D4—416no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—44no—
1583D4—48no—
1584D4—48no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—82no—
1596D4—88no—
1597D4—84no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—88no—
1605D4—88no—
1606D4—84no—
1607D4—84no—
1608D4—88no—
1609D4—84no—
1610D4—88no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—162no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619D4—164no—
1620D4—162no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—416no—
1676C2×C4—48no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—88no—
1685C2×C4—164no—
1686C2×C4C2×H(5,𝔽2)14yes—
1687C2×C4C2×H(5,𝔽2)14yes—
1688C2×C4C2×H(5,𝔽2)14yes—
1689C2×C4C2×H(5,𝔽2)14yes—
1690C2×C4C2×H(5,𝔽2)14yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)14yes—
1693C22—24no—
1694C22—24no—
1695C22—24no—
1696C22—24no—
1697C22—24no—
1698C22—22no—
1699C22—24no—
1700C22—24no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—41no—
1711C22—44no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—44no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—41no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—44no—
1729C22—44no—
1730C22—42no—
1731C22—44no—
1732C22—41no—
1733C22—44no—
1734C22—44no—
1735C22—44no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—44no—
1740C22—44no—
1741C22—1616no—
1742C22—168no—
1743C22—1616no—
1744C22—168no—
1745C22—168no—
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×H(5,𝔽2)12yes—
1748C22C22×H(5,𝔽2)12yes—
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22H(7,𝔽2)11yescharacteristic
1751C4—24no—
1752C4—24no—
1753C4—24no—
1754C4—24no—
1755C4—24no—
1756C4—41no—
1757C4—42no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—44no—
1764C4—44no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—41no—
1769C4—44no—
1770C4—42no—
1771C4#354314yes—
1772C2—44no—
1773C2—44no—
1774C2—42no—
1775C2—84no—
1776C2—82no—
1777C2—81no—
1778C2—84no—
1779C2—84no—
1780C2C2×#354311yescharacteristic
1781C2#6283212yes—
1782C2#6289211yescharacteristic
1783C2#6291212yes—
1784C2#6301111yescharacteristic
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. #59414C2semidirect
2. #57961C2semidirect
3. #55105C2semidirect
4. #53508C2semidirect
5. #52969C2semidirect
6. #49763C2semidirect
7. #49545C2semidirect
8. #47942C2semidirect
9. #47031C2semidirect
10. #46355C2semidirect
11. #45647C2semidirect
12. #45487C2semidirect
13. #45355C2semidirect
14. #44936C2semidirect
15. #42996C2semidirect
16. #42966C2semidirect
17. #42484C2semidirect
18. #40584C2semidirect
19. #39745C2semidirect
20. #39464C2semidirect
21. #39361C2semidirect
22. #39336C2semidirect
23. #37674C2semidirect
24. #37332C2semidirect
25. D4×#127C2semidirect
26. #35921C2semidirect
27. #35562C2semidirect
28. #35109C2semidirect
29. #34921C2semidirect
30. C2×#560C22semidirect
31. C2×#559C22semidirect
32. C2×#550C22semidirect
33. C2×#546C22semidirect
34. C2×#546C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×#535C22semidirect
42. C2×#535C22semidirect
43. C2×#534C22semidirect
44. C22×#127C22semidirect
45. C22×#127C22semidirect
46. #2867C22semidirect
47. #2856C22semidirect
48. #2856C22semidirect
49. #2855C22semidirect
50. #2854C22semidirect
51. #2850C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2815C22semidirect
55. #2815C22semidirect
56. #2813C22semidirect
57. #2813C22semidirect
58. #2812C22semidirect
59. #2797C22semidirect
60. #2752C22semidirect
61. #2752C22semidirect
62. #2714C22semidirect
63. #2714C22semidirect
64. #2709C22semidirect
65. #2706C22semidirect
66. #2703C22semidirect
67. #2699C22semidirect
68. #2699C22semidirect
69. #2699C22semidirect
70. #2688C22semidirect
71. #2688C22semidirect
72. #2688C22semidirect
73. #2685C22semidirect
74. #2679C22semidirect
75. #2678C22semidirect
76. #2678C22semidirect
77. #2678C22semidirect
78. #2678C22semidirect
79. #2678C22semidirect
80. #2675C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2673C22semidirect
86. #2673C22semidirect
87. #2673C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2671C22semidirect
93. #2670C22semidirect
94. #2670C22semidirect
95. #2670C22semidirect
96. #2669C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2668C22semidirect
111. #2668C22semidirect
112. #2668C22semidirect
113. #2661C22semidirect
114. #2657C22semidirect
115. #2657C22semidirect
116. #2656C22semidirect
117. #2651C22semidirect
118. #2635C22semidirect
119. #2635C22semidirect
120. #2624C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2617C22semidirect
124. #2613C22semidirect
125. #2613C22semidirect
126. #2613C22semidirect
127. #2607C22semidirect
128. #2602C22semidirect
129. #2600C22semidirect
130. #2596C22semidirect
131. #2589C22semidirect
132. #2580C22semidirect
133. #2575C22semidirect
134. #2570C22semidirect
135. #2559C22semidirect
136. #2557C22semidirect
137. #2557C22semidirect
138. #2557C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2540C22semidirect
152. #2540C22semidirect
153. #2539C22semidirect
154. #2539C22semidirect
155. #2539C22semidirect
156. #2539C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
159. #2517C22semidirect
160. #2516C22semidirect
161. #2513C22semidirect
162. #2512C22semidirect
163. #2476C22semidirect
164. #2476C22semidirect
165. #2471C22semidirect
166. #2471C22semidirect
167. #2467C22semidirect
168. #2464C22semidirect
169. #2464C22semidirect
170. #2459C22semidirect
171. #2459C22semidirect
172. #2456C22semidirect
173. #2455C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2435C22semidirect
178. #2435C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
182. #2433C22semidirect
183. #2433C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
193. #2433C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2425C22semidirect
209. #2423C22semidirect
210. #2422C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2418C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2405C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2403C22semidirect
232. #2403C22semidirect
233. #2398C22semidirect
235. #2395C22semidirect
236. C2×#392C22semidirect
237. #2375C22semidirect
238. #2358C22semidirect
239. #2341C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2333C22semidirect
243. #2333C22semidirect
244. #2328C22semidirect
245. #2328C22semidirect
246. #2328C22semidirect
247. #2319C22semidirect
248. #2308C22semidirect
249. C4×#127C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
252. C4×#123C22semidirect
253. C4×#123C22semidirect
254. #2295C22semidirect
255. #2293C22semidirect
256. #2290C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594142
#579612
#551052
#535082
#529692
#497632
#495452
#479422
#470312
#463552
#456472
#454872
#453552
#449362
#429962
#429662
#424842
#405842
#397452
#394642
#393612
#393362
#376742
#373322
D4×#1272
#359212
#355622
#351092
#349212