Finite Group Databasebeta

← #8746330

Subgroups — #8746330

Order 512.

6117 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59691C212yesmaximal, complemented
3#56398C214yesmaximal, complemented
4#54923C214yesmaximal, complemented
5#53608C214yesmaximal, complemented
6#53528C212yesmaximal, complemented
7#53453C214yesmaximal, complemented
8#53060C212yesmaximal, complemented
9#52986C212yesmaximal, complemented
10#52969C211yesmaximal, characteristic, complemented
11#52315C214yesmaximal, complemented
12#47678C212yesmaximal, complemented
13#45045C212yesmaximal, complemented
14#44927C212yesmaximal, complemented
15#44877C212yesmaximal, complemented
16#44870C211yesmaximal, characteristic, complemented
17#44870C212yesmaximal, complemented
18#42987C211yesmaximal, characteristic, complemented
19#42736C212yesmaximal, complemented
20#42619C212yesmaximal, complemented
21#42432C212yesmaximal, complemented
22#42422C212yesmaximal, complemented
23#42401C212yesmaximal, complemented
24#40490C214yesmaximal, complemented
25#39747C211yesmaximal, characteristic, complemented
26#39405C212yesmaximal, complemented
27#36696C211yesmaximal, characteristic, complemented
28#36075C211yesmaximal, characteristic, complemented
29#35691C212yesmaximal, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×#546C2212yescomplemented
33C2×D42C2212yes—
34C2×D42C2212yescomplemented
35C2×D42C2212yescomplemented
36C2×D42C2212yescomplemented
37C2×D42C2212yescomplemented
38C2×#538C2214yescomplemented
39C2×#535C2212yescomplemented
40C2×#535C2211yescharacteristic, complemented
41C2×#535C2212yescomplemented
42C2×#518C2211yescharacteristic, complemented
43#2858C2211yescharacteristic, complemented
44#2843C2211yescharacteristic, complemented
45#2830C2211yescharacteristic, complemented
46#2830C2212yescomplemented
47#2829C2214yescomplemented
48#2829C2212yescomplemented
49#2829C2212yescomplemented
50#2829C2212yescomplemented
51#2828C2214yescomplemented
52#2828C2212yescomplemented
53#2828C2211yescharacteristic, complemented
54#2828C2214yescomplemented
55#2828C2212yescomplemented
56#2825C2214yescomplemented
57#2825C2214yescomplemented
58#2823C2211yescharacteristic, complemented
59#2818C2212yescomplemented
60#2818C2212yescomplemented
61#2815C2214yescomplemented
62#2815C2214yescomplemented
63#2812C2214yescomplemented
64#2812C2214yescomplemented
65#2812C2212yescomplemented
66#2797C2214yescomplemented
67#2797C2214yescomplemented
68#2797C2214yescomplemented
69#2786C2214yescomplemented
70#2778C2214yescomplemented
71#2753C2214yescomplemented
72#2749C2214yescomplemented
73#2746C2214yescomplemented
74#2735C2214yescomplemented
75#2730C2214yescomplemented
76#2717C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2711C2214yescomplemented
83#2711C2214yescomplemented
84#2709C2214yescomplemented
85#2706C2214yescomplemented
86#2699C2212yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2686C2214yescomplemented
90#2685C2214yescomplemented
91#2679C2212yescomplemented
92#2679C2212yescomplemented
93#2679C2214yescomplemented
94#2679C2214yescomplemented
95#2679C2212yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2676C2214yescomplemented
100#2675C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2212yescomplemented
109#2670C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2668C2212yescomplemented
120#2662C2212yescomplemented
121#2661C2214yescomplemented
122#2657C2212yescomplemented
123#2653C2214yescomplemented
124#2641C2214yescomplemented
125#2636C2212yescomplemented
126#2632C2212yescomplemented
127#2631C2214yescomplemented
128#2625C2211yescharacteristic, complemented
129#2624C2212yescomplemented
130#2622C2214yescomplemented
131#2622C2214yescomplemented
132#2619C2212yescomplemented
133#2617C2214yescomplemented
134#2617C2214yescomplemented
135#2617C2214yescomplemented
136#2616C2211yescharacteristic, complemented
137#2613C2214yescomplemented
138#2603C2214yescomplemented
139#2603C2212yescomplemented
140#2595C2214yescomplemented
141#2555C2212yescomplemented
142#2555C2214yescomplemented
143#2548C2212yescomplemented
144#2548C2212yescomplemented
145#2547C2211yescharacteristic, complemented
146#2544C2212yescomplemented
147#2544C2212yescomplemented
148#2543C2214yescomplemented
149#2543C2214yescomplemented
150#2541C2212yes—
151#2541C2211yescharacteristic, complemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2540C2212yescomplemented
155#2537C2212yescomplemented
156#2537C2212yescomplemented
157#2537C2212yescomplemented
158#2536C2212yescomplemented
159#2535C2212yescomplemented
160#2531C2214yescomplemented
161#2513C2212yescomplemented
162#2512C2212yescomplemented
163#2510C2214yescomplemented
164#2506C2212yescomplemented
165#2499C2212yescomplemented
166#2494C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2214yescomplemented
169#2490C2214yescomplemented
170#2485C2212yescomplemented
171#2480C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2468C2214yescomplemented
175#2464C2214yescomplemented
176#2460C2214yescomplemented
177#2456C2214yescomplemented
178#2452C2212yescomplemented
179#2447C2212yescomplemented
180#2445C2212yescomplemented
181#2444C2214yescomplemented
182#2435C2211yescharacteristic, complemented
183#2435C2211yescharacteristic, complemented
184#2433C2214yescomplemented
185#2433C2214yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2433C2214yescomplemented
189#2433C2212yescomplemented
190#2433C2212yescomplemented
191#2431C2212yescomplemented
192#2428C2212yes—
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2422C2212yescomplemented
206#2420C2212yescomplemented
207#2414C2212yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2412C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2211yescharacteristic
219#2408C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2214yescomplemented
223#2408C2212yescomplemented
224#2408C2214yescomplemented
225#2408C2211yescharacteristic, complemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2403C2214yescomplemented
230#2403C2214yescomplemented
231#2403C2212yescomplemented
232#2398C2212yescomplemented
233#2395C2212yescomplemented
234#2395C2211yescharacteristic, complemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2392C2212yescomplemented
238#2388C2212yescomplemented
239#2388C2211yescharacteristic, complemented
240C2×#392C2214yescomplemented
241#2367C2212yescomplemented
242#2366C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2353C2214yescomplemented
247#2349C2212yescomplemented
248#2347C2211yescharacteristic, complemented
249#2346C2211yescharacteristic, complemented
250D4×C22⋊C4C2212yescomplemented
251D4×C22⋊C4C2212yescomplemented
252#2326C2212yescomplemented
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255C4×#127C2212yescomplemented
256C4×#127C2211yescharacteristic, complemented
257C4×#126C2212yescomplemented
258#2295C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2311yescharacteristic
265C23×D4C2314yes—
266C23×D4C2314yes—
267C23×D4C2314yes—
268C23×D4C2314yes—
269#556—44no—
270#550—44no—
271#546—48no—
272D42—48no—
273D42—48no—
274D42—48no—
275D42—48no—
276D42—48no—
277#538—416no—
278#535—44no—
279#535—48no—
280#535—48no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2311yescharacteristic
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2314yes—
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2312yes—
293C2×#126C2312yes—
294C2×#126C2312yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#125C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2312yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368#518—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399#401C2314yes—
400#400C2311yescharacteristic
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#399C2311yescharacteristic
405#399C2312yes—
406#399C2314yes—
407#399C2314yes—
408#398C2312yes—
409#398C2311yescharacteristic
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2311yescharacteristic
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#395C2311yescharacteristic
450#395C2312yes—
451#395C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2311yescharacteristic
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2311yescharacteristic
512#393C2312yes—
513#393C2314yes—
514#393C2314yes—
515#392C2311yescharacteristic
516#392C2314yes—
517#392C2312yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2314yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
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#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#383C2312yes—
678#383C2312yes—
679#382C2312yes—
680#382C2312yes—
681#381C2314yes—
682#381C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2311yescharacteristic
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2312yes—
699#379C2314yes—
700#379C2314yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721#376C2312yes—
722#376C2312yes—
723C2×#95C2314yes—
724C43C2311yescharacteristic
725C25C2412yes—
726C25C2414yes—
727C25C2414yes—
728C25C2412yes—
729C2×#41—42no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C22×Q8C2411yescharacteristic
735C22×Q8C2412yes—
736C22×Q8C2411yescharacteristic
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—28no—
740C22×D4—42no—
741C22×D4—42no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—84no—
754C22×D4—84no—
755C22×D4—84no—
756C22×D4—84no—
757C22×D4—84no—
758C22×D4—84no—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2411yescharacteristic
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C23×C4C2411yescharacteristic
798C23×C4C2412yes—
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C4⋊Q8—42no—
809#127—28no—
810#127—28no—
811#127—24no—
812#127—44no—
813#127—44no—
814#127—44no—
815#127—42no—
816#127—44no—
817#127—48no—
818#127—82no—
819#127—84no—
820#126—28no—
821#126—44no—
822#126—44no—
823#126—48no—
824#125—84no—
825#124—28no—
826#124—28no—
827#124—44no—
828#124—44no—
829#124—44no—
830#124—48no—
831#124—48no—
832#124—82no—
833#124—82no—
834#123—48no—
835#123—48no—
836#123—48no—
837C22⋊Q8—48no—
838C22⋊Q8—44no—
839C22⋊Q8—42no—
840C22⋊Q8—42no—
841#121—28no—
842#121—28no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
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—44no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—48no—
863#121—48no—
864#121—44no—
865#121—84no—
866#121—84no—
867#121—84no—
868#121—84no—
869#121—84no—
870#121—84no—
871#120—48no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—44no—
877#120—48no—
878#120—44no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120—48no—
890#120—84no—
891#120—84no—
892#120—84no—
893#120—84no—
894#120—84no—
895C4×Q8—24no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—48no—
915C4×D4—84no—
916#117—24no—
917#117—24no—
918#117—42no—
919#117—44no—
920#117—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C22⋊C4—48no—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—84no—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098C24—28no—
1099C24—28no—
1100C24—28no—
1101C24—42no—
1102C24—44no—
1103C24—44no—
1104C24—42no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—42no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—42no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—42no—
1120C24—44no—
1121C24—42no—
1122C24C2512yes—
1123C24C2511yescharacteristic
1124C24C2511yescharacteristic
1125C24C2514yes—
1126C24C2512yes—
1127C24C2514yes—
1128C24C2514yes—
1129#41—88no—
1130#41—816no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—42no—
1135C2×Q8—41no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—41no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
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—42no—
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—42no—
1217C2×D4—41no—
1218C2×D4—42no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—41no—
1222C2×D4—42no—
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—42no—
1246C2×D4—44no—
1247C2×D4—416no—
1248C2×D4—816no—
1249C2×D4—816no—
1250C2×D4—88no—
1251C2×D4—832no—
1252C2×D4—832no—
1253C2×D4—832no—
1254C2×D4—832no—
1255C2×D4H(5,𝔽2)18yes—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4H(5,𝔽2)14yes—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—24no—
1434C42—44no—
1435C42—44no—
1436C42—42no—
1437C42—41no—
1438C42—42no—
1439C42—44no—
1440C42H(5,𝔽2)14yes—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—24no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—21no—
1484C23—22no—
1485C23—48no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—84no—
1499C23—88no—
1500C23—164no—
1501C23—162no—
1502C23—164no—
1503C23—162no—
1504C23—164no—
1505C23—164no—
1506C23—164no—
1507C23—162no—
1508C23—162no—
1509C23C2×H(5,𝔽2)18yes—
1510C23C2611yescharacteristic
1511Q8—44no—
1512Q8—84no—
1513Q8—82no—
1514D4—216no—
1515D4—416no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—48no—
1521D4—48no—
1522D4—48no—
1523D4—84no—
1524D4—82no—
1525D4—82no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—84no—
1537D4—84no—
1538D4—88no—
1539D4—88no—
1540D4—88no—
1541D4—88no—
1542D4—82no—
1543D4—84no—
1544D4—88no—
1545D4—164no—
1546D4—164no—
1547D4—162no—
1548D4—164no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
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—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4—164no—
1617C2×C4—164no—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C22—28no—
1624C22—28no—
1625C22—28no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—44no—
1635C22—44no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—44no—
1650C22—41no—
1651C22—41no—
1652C22—44no—
1653C22—44no—
1654C22—44no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—42no—
1662C22—44no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—168no—
1669C22—1616no—
1670C22—1616no—
1671C22—168no—
1672C22C22×H(5,𝔽2)12yes—
1673C22C22×H(5,𝔽2)11yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22H(7,𝔽2)11yescharacteristic
1676C22H(7,𝔽2)12yes—
1677C4—24no—
1678C4—24no—
1679C4—22no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—44no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4#353714yes—
1699C2—48no—
1700C2—84no—
1701C2—82no—
1702C2—82no—
1703C2—81no—
1704C2—81no—
1705C2—84no—
1706C2C2×#353711yescharacteristic
1707C2#6291212yes—
1708C2#6291611yescharacteristic
1709C2#6304112yes—
1710C2#6304511yescharacteristic
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. #59816C2semidirect
2. #59691C2semidirect
3. #56398C2semidirect
4. #54923C2semidirect
5. #53608C2semidirect
6. #53528C2semidirect
7. #53453C2semidirect
8. #53060C2semidirect
9. #52986C2semidirect
10. #52969C2semidirect
11. #52315C2semidirect
12. #47678C2semidirect
13. #45045C2semidirect
14. #44927C2semidirect
15. #44877C2semidirect
16. #44870C2semidirect
17. #44870C2semidirect
18. #42987C2semidirect
19. #42736C2semidirect
20. #42619C2semidirect
21. #42432C2semidirect
22. #42422C2semidirect
23. #42401C2semidirect
24. #40490C2semidirect
25. #39747C2semidirect
26. #39405C2semidirect
27. #36696C2semidirect
28. #36075C2semidirect
29. #35691C2semidirect
30. C2×#556C22semidirect
31. C2×#550C22semidirect
32. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×#538C22semidirect
39. C2×#535C22semidirect
40. C2×#535C22semidirect
41. C2×#535C22semidirect
42. C2×#518C22semidirect
43. #2858C22semidirect
44. #2843C22semidirect
45. #2830C22semidirect
46. #2830C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2828C22semidirect
56. #2825C22semidirect
57. #2825C22semidirect
58. #2823C22semidirect
59. #2818C22semidirect
60. #2818C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2812C22semidirect
64. #2812C22semidirect
65. #2812C22semidirect
66. #2797C22semidirect
67. #2797C22semidirect
68. #2797C22semidirect
69. #2786C22semidirect
70. #2778C22semidirect
71. #2753C22semidirect
72. #2749C22semidirect
73. #2746C22semidirect
74. #2735C22semidirect
75. #2730C22semidirect
76. #2717C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2711C22semidirect
83. #2711C22semidirect
84. #2709C22semidirect
85. #2706C22semidirect
86. #2699C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2686C22semidirect
90. #2685C22semidirect
91. #2679C22semidirect
92. #2679C22semidirect
93. #2679C22semidirect
94. #2679C22semidirect
95. #2679C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2676C22semidirect
100. #2675C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2668C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2657C22semidirect
123. #2653C22semidirect
124. #2641C22semidirect
125. #2636C22semidirect
126. #2632C22semidirect
127. #2631C22semidirect
128. #2625C22semidirect
129. #2624C22semidirect
130. #2622C22semidirect
131. #2622C22semidirect
132. #2619C22semidirect
133. #2617C22semidirect
134. #2617C22semidirect
135. #2617C22semidirect
136. #2616C22semidirect
137. #2613C22semidirect
138. #2603C22semidirect
139. #2603C22semidirect
140. #2595C22semidirect
141. #2555C22semidirect
142. #2555C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2547C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2543C22semidirect
149. #2543C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2540C22semidirect
155. #2537C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
158. #2536C22semidirect
159. #2535C22semidirect
160. #2531C22semidirect
161. #2513C22semidirect
162. #2512C22semidirect
163. #2510C22semidirect
164. #2506C22semidirect
165. #2499C22semidirect
166. #2494C22semidirect
167. #2491C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2485C22semidirect
171. #2480C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2468C22semidirect
175. #2464C22semidirect
176. #2460C22semidirect
177. #2456C22semidirect
178. #2452C22semidirect
179. #2447C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
182. #2435C22semidirect
183. #2435C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2431C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2422C22semidirect
206. #2420C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2412C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2403C22semidirect
232. #2398C22semidirect
233. #2395C22semidirect
234. #2395C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2388C22semidirect
239. #2388C22semidirect
240. C2×#392C22semidirect
241. #2367C22semidirect
242. #2366C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2353C22semidirect
247. #2349C22semidirect
248. #2347C22semidirect
249. #2346C22semidirect
250. D4×C22⋊C4C22semidirect
251. D4×C22⋊C4C22semidirect
252. #2326C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. C4×#127C22semidirect
256. C4×#127C22semidirect
257. C4×#126C22semidirect
258. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#596912
#563982
#549232
#536082
#535282
#534532
#530602
#529862
#529692
#523152
#476782
#450452
#449272
#448772
#448702
#429872
#427362
#426192
#424322
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