Finite Group Databasebeta

← #8746135

Subgroups — #8746135

Order 512.

6377 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59474C212yesmaximal, complemented
3#55040C214yesmaximal, complemented
4#54927C214yesmaximal, complemented
5#53937C214yesmaximal, complemented
6#53483C214yesmaximal, complemented
7#53422C212yesmaximal, complemented
8#53055C212yesmaximal, complemented
9#52967C211yesmaximal, characteristic, complemented
10#52422C212yesmaximal, complemented
11#52309C214yesmaximal, complemented
12#47674C212yesmaximal, complemented
13#45404C212yesmaximal, complemented
14#45214C211yesmaximal, characteristic, complemented
15#44927C212yesmaximal, complemented
16#44895C212yesmaximal, complemented
17#44872C212yesmaximal, complemented
18#42969C211yesmaximal, characteristic, complemented
19#42892C212yesmaximal, complemented
20#42586C212yesmaximal, complemented
21#42475C212yesmaximal, complemented
22#42430C212yesmaximal, complemented
23#42035C212yesmaximal, complemented
24#40490C214yesmaximal, complemented
25#39747C211yesmaximal, characteristic, complemented
26#39405C212yesmaximal, complemented
27#36696C211yesmaximal, characteristic, complemented
28#36091C211yesmaximal, characteristic, complemented
29#35680C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×#556C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#550C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×D42C2212yes—
36C2×D42C2212yescomplemented
37C2×D42C2212yescomplemented
38C2×D42C2212yescomplemented
39C2×#540C2212yescomplemented
40C2×#538C2214yescomplemented
41C2×#535C2211yescharacteristic, complemented
42#2858C2211yescharacteristic, complemented
43#2843C2211yescharacteristic, complemented
44#2832C2212yescomplemented
45#2830C2212yescomplemented
46#2830C2211yescharacteristic, complemented
47#2829C2212yescomplemented
48#2829C2214yescomplemented
49#2829C2212yescomplemented
50#2829C2212yescomplemented
51#2828C2212yescomplemented
52#2828C2214yescomplemented
53#2828C2214yescomplemented
54#2828C2211yescharacteristic, complemented
55#2826C2214yescomplemented
56#2824C2214yescomplemented
57#2823C2211yescharacteristic, complemented
58#2818C2214yescomplemented
59#2818C2212yescomplemented
60#2815C2214yescomplemented
61#2815C2212yescomplemented
62#2815C2214yescomplemented
63#2812C2212yescomplemented
64#2812C2214yescomplemented
65#2803C2214yescomplemented
66#2756C2214yescomplemented
67#2752C2214yescomplemented
68#2749C2214yescomplemented
69#2741C2214yescomplemented
70#2740C2214yescomplemented
71#2737C2214yescomplemented
72#2736C2212yescomplemented
73#2735C2212yescomplemented
74#2733C2212yescomplemented
75#2728C2212yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2709C2214yescomplemented
84#2705C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2701C2214yescomplemented
88#2699C2214yescomplemented
89#2699C2214yescomplemented
90#2695C2214yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2685C2214yescomplemented
94#2679C2214yescomplemented
95#2679C2212yescomplemented
96#2679C2212yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2661C2214yescomplemented
120#2661C2214yescomplemented
121#2657C2212yescomplemented
122#2656C2212yescomplemented
123#2648C2214yescomplemented
124#2648C2214yescomplemented
125#2635C2212yescomplemented
126#2631C2214yescomplemented
127#2624C2211yescharacteristic, complemented
128#2619C2212yescomplemented
129#2617C2214yescomplemented
130#2615C2211yescharacteristic, complemented
131#2615C2212yescomplemented
132#2615C2212yescomplemented
133#2613C2214yescomplemented
134#2613C2214yescomplemented
135#2613C2214yescomplemented
136#2613C2214yescomplemented
137#2603C2214yescomplemented
138#2578C2214yescomplemented
139#2572C2212yescomplemented
140#2565C2212yescomplemented
141#2562C2212yescomplemented
142#2554C2214yescomplemented
143#2548C2212yescomplemented
144#2547C2211yescharacteristic, complemented
145#2544C2212yescomplemented
146#2543C2214yescomplemented
147#2543C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2211yescharacteristic, complemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2539C2214yescomplemented
153#2537C2212yescomplemented
154#2537C2212yescomplemented
155#2537C2212yescomplemented
156#2535C2212yescomplemented
157#2516C2214yescomplemented
158#2512C2212yescomplemented
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2491C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2485C2212yescomplemented
166#2483C2212yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2467C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2458C2214yescomplemented
175#2456C2214yescomplemented
176#2454C2212yescomplemented
177#2452C2212yescomplemented
178#2448C2212yescomplemented
179#2445C2212yescomplemented
180#2445C2212yescomplemented
181#2444C2214yescomplemented
182#2433C2212yes—
183#2433C2212yescomplemented
184#2433C2214yescomplemented
185#2433C2214yescomplemented
186#2433C2214yescomplemented
187#2433C2211yescharacteristic, complemented
188#2433C2212yescomplemented
189#2433C2212yescomplemented
190#2433C2211yescharacteristic, complemented
191#2431C2212yes—
192#2431C2212yescomplemented
193#2430C2214yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2426C2214yescomplemented
197#2426C2212yescomplemented
198#2425C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2422C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2414C2212yescomplemented
209#2410C2214yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2408C2211yescharacteristic
214#2408C2214yescomplemented
215#2408C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2214yescomplemented
218#2408C2214yescomplemented
219#2408C2212yescomplemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2212yescomplemented
223#2408C2211yescharacteristic, complemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2214yescomplemented
230#2403C2214yescomplemented
231#2395C2212yescomplemented
232#2395C2211yescharacteristic, complemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2388C2212yescomplemented
237#2388C2212yescomplemented
238#2388C2211yescharacteristic, complemented
239C2×#392C2214yescomplemented
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2363C2212yescomplemented
243#2357C2212yescomplemented
244#2353C2214yescomplemented
245#2341C2212yescomplemented
246#2341C2211yescharacteristic, complemented
247#2339C2212yescomplemented
248#2339C2211yescharacteristic, complemented
249D4×C22⋊C4C2212yescomplemented
250D4×C22⋊C4C2212yescomplemented
251#2326C2212yescomplemented
252#2324C2212yescomplemented
253#2323C2212yescomplemented
254#2309C2212yescomplemented
255C4×#127C2211yescharacteristic, complemented
256C4×#127C2212yescomplemented
257C4×#126C2212yescomplemented
258#2295C2211yescharacteristic, complemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273C23×D4C2314yes—
274C23×D4C2314yes—
275#556—44no—
276#550—44no—
277#550—48no—
278#546—48no—
279D42—48no—
280D42—48no—
281D42—48no—
282D42—48no—
283#540—48no—
284#538—416no—
285#535—44no—
286C2×C4⋊Q8C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2311yescharacteristic
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2314yes—
294C2×#127C2312yes—
295C2×#127C2314yes—
296C2×#127C2312yes—
297C2×#126C2312yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#125C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2312yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2311yescharacteristic
399#400C2312yes—
400#399C2314yes—
401#399C2312yes—
402#399C2311yescharacteristic
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2311yescharacteristic
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2311yescharacteristic
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2311yescharacteristic
446#395C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2311yescharacteristic
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2312yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2311yescharacteristic
504#393C2314yes—
505#392C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2311yescharacteristic
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2312yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
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#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#383C2312yes—
672#383C2314yes—
673#382C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#381C2314yes—
678#381C2314yes—
679#380C2311yescharacteristic
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C43C2311yescharacteristic
725C25C2412yes—
726C25C2414yes—
727C25C2414yes—
728C25C2412yes—
729H(5,𝔽2)—464no—
730C2×#41—28no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—42no—
737C2×#41—48no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×D4—28no—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—48no—
748C22×D4—44no—
749C22×D4—42no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—48no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—84no—
765C22×D4—84no—
766C22×D4—84no—
767C22×D4—84no—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2411yescharacteristic
777C22×D4C2411yescharacteristic
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2412yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C4⋊Q8—42no—
822#127—28no—
823#127—28no—
824#127—24no—
825#127—44no—
826#127—44no—
827#127—42no—
828#127—44no—
829#127—48no—
830#127—82no—
831#127—84no—
832#126—28no—
833#126—48no—
834#126—48no—
835#126—84no—
836#125—44no—
837#124—28no—
838#124—28no—
839#124—44no—
840#124—48no—
841#124—82no—
842#124—82no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—48no—
847#123—48no—
848#123—84no—
849C22⋊Q8—28no—
850C22⋊Q8—48no—
851#121—28no—
852#121—28no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—48no—
867#121—48no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—42no—
872#121—42no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—84no—
880#121—84no—
881#121—84no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—44no—
886#120—48no—
887#120—44no—
888#120—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—48no—
895#120—84no—
896#120—84no—
897#120—84no—
898#120—84no—
899#120—84no—
900#120—84no—
901#120—84no—
902#120—84no—
903#120—84no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×D4—28no—
908C4×D4—216no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—84no—
924#117—42no—
925#117—44no—
926#117—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4—84no—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058#95C2412yes—
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24—28no—
1100C24—28no—
1101C24—28no—
1102C24—42no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—42no—
1108C24—42no—
1109C24—44no—
1110C24—44no—
1111C24—42no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—42no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—42no—
1123C24C2512yes—
1124C24C2512yes—
1125C24C2512yes—
1126C24C2514yes—
1127C24C2511yescharacteristic
1128C24C2511yescharacteristic
1129C24C2512yes—
1130C24C2514yes—
1131#41—432no—
1132#41—416no—
1133#41—432no—
1134#41—416no—
1135#41—88no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—41no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—42no—
1142C2×Q8H(5,𝔽2)14yes—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—41no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—42no—
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—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—41no—
1227C2×D4—42no—
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—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—416no—
1256C2×D4—432no—
1257C2×D4—464no—
1258C2×D4—432no—
1259C2×D4—816no—
1260C2×D4—88no—
1261C2×D4—832no—
1262C2×D4—832no—
1263C2×D4—832no—
1264C2×D4H(5,𝔽2)18yes—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—24no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—41no—
1443C42—42no—
1444C42—44no—
1445C42H(5,𝔽2)14yescomplemented
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—21no—
1460C23—24no—
1461C23—22no—
1462C23—22no—
1463C23—24no—
1464C23—24no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—48no—
1494C23—416no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—84no—
1505C23—88no—
1506C23—164no—
1507C23—164no—
1508C23—162no—
1509C23—164no—
1510C23—164no—
1511C23—162no—
1512C23—164no—
1513C23—164no—
1514C23—164no—
1515C23—162no—
1516C23—162no—
1517C23C2×H(5,𝔽2)18yes—
1518C23C2611yescharacteristic
1519Q8—28no—
1520Q8—44no—
1521Q8—84no—
1522D4—216no—
1523D4—416no—
1524D4—416no—
1525D4—48no—
1526D4—48no—
1527D4—48no—
1528D4—48no—
1529D4—416no—
1530D4—48no—
1531D4—44no—
1532D4—48no—
1533D4—44no—
1534D4—48no—
1535D4—44no—
1536D4—84no—
1537D4—82no—
1538D4—82no—
1539D4—84no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—88no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549D4—88no—
1550D4—88no—
1551D4—88no—
1552D4—88no—
1553D4—84no—
1554D4—164no—
1555D4—164no—
1556D4—162no—
1557D4—162no—
1558D4—162no—
1559D4—164no—
1560D4—164no—
1561D4—164no—
1562D4—164no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—416no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4—88no—
1625C2×C4—164no—
1626C2×C4—164no—
1627C2×C4C2×H(5,𝔽2)14yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)14yes—
1632C22—28no—
1633C22—28no—
1634C22—28no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—44no—
1656C22—44no—
1657C22—44no—
1658C22—44no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—168no—
1681C22—1616no—
1682C22—1616no—
1683C22—168no—
1684C22C22×H(5,𝔽2)12yes—
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C22H(7,𝔽2)12yes—
1689C4—24no—
1690C4—22no—
1691C4—24no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—44no—
1700C4—44no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4#353214yes—
1710C2—48no—
1711C2—82no—
1712C2—82no—
1713C2—82no—
1714C2—82no—
1715C2—84no—
1716C2—81no—
1717C2—81no—
1718C2C2×#353211yescharacteristic
1719C2#6291212yes—
1720C2#6291611yescharacteristic
1721C2#6304112yes—
1722C2#6306611yescharacteristic
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. #59474C2semidirect
3. #55040C2semidirect
4. #54927C2semidirect
5. #53937C2semidirect
6. #53483C2semidirect
7. #53422C2semidirect
8. #53055C2semidirect
9. #52967C2semidirect
10. #52422C2semidirect
11. #52309C2semidirect
12. #47674C2semidirect
13. #45404C2semidirect
14. #45214C2semidirect
15. #44927C2semidirect
16. #44895C2semidirect
17. #44872C2semidirect
18. #42969C2semidirect
19. #42892C2semidirect
20. #42586C2semidirect
21. #42475C2semidirect
22. #42430C2semidirect
23. #42035C2semidirect
24. #40490C2semidirect
25. #39747C2semidirect
26. #39405C2semidirect
27. #36696C2semidirect
28. #36091C2semidirect
29. #35680C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×#556C22semidirect
32. C2×#550C22semidirect
33. C2×#550C22semidirect
34. C2×#546C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×#540C22semidirect
40. C2×#538C22semidirect
41. C2×#535C22semidirect
42. #2858C22semidirect
43. #2843C22semidirect
44. #2832C22semidirect
45. #2830C22semidirect
46. #2830C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2826C22semidirect
56. #2824C22semidirect
57. #2823C22semidirect
58. #2818C22semidirect
59. #2818C22semidirect
60. #2815C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2812C22semidirect
64. #2812C22semidirect
65. #2803C22semidirect
66. #2756C22semidirect
67. #2752C22semidirect
68. #2749C22semidirect
69. #2741C22semidirect
70. #2740C22semidirect
71. #2737C22semidirect
72. #2736C22semidirect
73. #2735C22semidirect
74. #2733C22semidirect
75. #2728C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2709C22semidirect
84. #2705C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2701C22semidirect
88. #2699C22semidirect
89. #2699C22semidirect
90. #2695C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2685C22semidirect
94. #2679C22semidirect
95. #2679C22semidirect
96. #2679C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2661C22semidirect
120. #2661C22semidirect
121. #2657C22semidirect
122. #2656C22semidirect
123. #2648C22semidirect
124. #2648C22semidirect
125. #2635C22semidirect
126. #2631C22semidirect
127. #2624C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2615C22semidirect
133. #2613C22semidirect
134. #2613C22semidirect
135. #2613C22semidirect
136. #2613C22semidirect
137. #2603C22semidirect
138. #2578C22semidirect
139. #2572C22semidirect
140. #2565C22semidirect
141. #2562C22semidirect
142. #2554C22semidirect
143. #2548C22semidirect
144. #2547C22semidirect
145. #2544C22semidirect
146. #2543C22semidirect
147. #2543C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2539C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2535C22semidirect
157. #2516C22semidirect
158. #2512C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2491C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2485C22semidirect
166. #2483C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2467C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2458C22semidirect
175. #2456C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
178. #2448C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
183. #2433C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2425C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2410C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
214. #2408C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2388C22semidirect
237. #2388C22semidirect
238. #2388C22semidirect
239. C2×#392C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2363C22semidirect
243. #2357C22semidirect
244. #2353C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
249. D4×C22⋊C4C22semidirect
250. D4×C22⋊C4C22semidirect
251. #2326C22semidirect
252. #2324C22semidirect
253. #2323C22semidirect
254. #2309C22semidirect
255. C4×#127C22semidirect
256. C4×#127C22semidirect
257. C4×#126C22semidirect
258. #2295C22semidirect
1445. C42H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#598162
#594742
#550402
#549272
#539372
#534832
#534222
#530552
#529672
#524222
#523092
#476742
#454042
#452142
#449272
#448952
#448722
#429692
#428922
#425862
#424752
#424302
#420352
#404902
#397472
#394052
#366962
#360912
#356802