Finite Group Databasebeta

← #8746166

Subgroups — #8746166

Order 512.

6369 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#59896C212yesmaximal, complemented
2#59843C211yesmaximal, characteristic, complemented
3#56316C214yesmaximal, complemented
4#54624C214yesmaximal, complemented
5#53675C212yesmaximal, complemented
6#53425C214yesmaximal, complemented
7#53425C214yesmaximal, complemented
8#53055C212yesmaximal, complemented
9#52966C211yesmaximal, characteristic, complemented
10#52422C212yesmaximal, complemented
11#52315C214yesmaximal, complemented
12#47794C212yesmaximal, complemented
13#45057C212yesmaximal, complemented
14#44936C212yesmaximal, complemented
15#44935C212yesmaximal, complemented
16#44886C212yesmaximal, complemented
17#44870C211yesmaximal, characteristic, complemented
18#42985C211yesmaximal, characteristic, complemented
19#42893C212yesmaximal, complemented
20#42581C212yesmaximal, complemented
21#42566C212yesmaximal, complemented
22#42420C212yesmaximal, complemented
23#42050C212yesmaximal, complemented
24#41934C214yesmaximal, complemented
25#39745C211yesmaximal, characteristic, complemented
26#39361C212yesmaximal, complemented
27#36694C211yesmaximal, characteristic, complemented
28#36091C211yesmaximal, characteristic, complemented
29#35680C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#559C2211yescharacteristic, complemented
32C2×#551C2212yescomplemented
33C2×#550C2211yescharacteristic, complemented
34C2×#550C2212yescomplemented
35C2×#550C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×D42C2212yes—
38C2×D42C2212yescomplemented
39C2×#537C2211yescharacteristic, complemented
40C2×#535C2212yescomplemented
41C2×#535C2214yescomplemented
42#2867C2211yescharacteristic, complemented
43#2844C2211yescharacteristic, complemented
44#2832C2212yescomplemented
45#2832C2211yescharacteristic, complemented
46#2832C2211yescharacteristic, complemented
47#2832C2212yescomplemented
48#2830C2212yescomplemented
49#2828C2214yescomplemented
50#2828C2212yescomplemented
51#2828C2212yescomplemented
52#2828C2212yescomplemented
53#2828C2214yescomplemented
54#2826C2214yescomplemented
55#2825C2214yescomplemented
56#2825C2214yescomplemented
57#2824C2214yescomplemented
58#2819C2211yescharacteristic, complemented
59#2819C2212yescomplemented
60#2818C2214yescomplemented
61#2815C2214yescomplemented
62#2815C2212yescomplemented
63#2815C2212yescomplemented
64#2812C2214yescomplemented
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2778C2214yescomplemented
68#2760C2212yescomplemented
69#2750C2214yescomplemented
70#2749C2214yescomplemented
71#2745C2214yescomplemented
72#2737C2214yescomplemented
73#2728C2212yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2699C2212yescomplemented
79#2697C2214yescomplemented
80#2697C2212yescomplemented
81#2693C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2686C2214yescomplemented
90#2684C2214yescomplemented
91#2684C2214yescomplemented
92#2679C2212yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2670C2212yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2662C2214yescomplemented
120#2657C2212yescomplemented
121#2648C2214yescomplemented
122#2648C2214yescomplemented
123#2644C2212yescomplemented
124#2639C2212yescomplemented
125#2638C2212yescomplemented
126#2631C2214yescomplemented
127#2622C2214yescomplemented
128#2619C2214yescomplemented
129#2617C2214yescomplemented
130#2617C2214yescomplemented
131#2615C2211yescharacteristic, complemented
132#2615C2212yescomplemented
133#2615C2212yescomplemented
134#2615C2211yescharacteristic, complemented
135#2613C2214yescomplemented
136#2613C2214yescomplemented
137#2610C2214yescomplemented
138#2609C2212yescomplemented
139#2597C2214yescomplemented
140#2597C2214yescomplemented
141#2581C2212yescomplemented
142#2580C2212yescomplemented
143#2555C2212yescomplemented
144#2548C2211yescharacteristic, complemented
145#2548C2212yescomplemented
146#2544C2212yescomplemented
147#2543C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2211yescharacteristic, complemented
150#2541C2212yescomplemented
151#2541C2214yescomplemented
152#2538C2212yescomplemented
153#2537C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2516C2214yescomplemented
157#2516C2214yescomplemented
158#2510C2214yescomplemented
159#2504C2211yescharacteristic, complemented
160#2500C2212yescomplemented
161#2496C2212yescomplemented
162#2495C2212yescomplemented
163#2494C2212yescomplemented
164#2486C2211yescharacteristic, complemented
165#2485C2212yescomplemented
166#2480C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2461C2214yescomplemented
170#2457C2214yescomplemented
171#2457C2214yescomplemented
172#2444C2214yescomplemented
173#2444C2214yescomplemented
174#2433C2212yes—
175#2433C2211yescharacteristic
176#2433C2212yescomplemented
177#2433C2214yescomplemented
178#2433C2212yescomplemented
179#2433C2212yescomplemented
180#2433C2214yescomplemented
181#2433C2212yescomplemented
182#2433C2214yescomplemented
183#2431C2212yes—
184#2431C2212yescomplemented
185#2431C2212yescomplemented
186#2431C2214yescomplemented
187#2430C2214yescomplemented
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2426C2212yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2212yescomplemented
209#2416C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2412C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2211yescharacteristic
219#2408C2212yes—
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2212yescomplemented
223#2407C2212yes—
224#2407C2212yescomplemented
225#2404C2214yescomplemented
226#2404C2214yescomplemented
227#2404C2214yescomplemented
228#2403C2212yescomplemented
229#2403C2214yescomplemented
230#2403C2214yescomplemented
231#2398C2212yescomplemented
232#2398C2212yescomplemented
233#2398C2212yescomplemented
234#2388C2212yescomplemented
235#2388C2212yescomplemented
236#2388C2211yescharacteristic, complemented
237#2388C2212yescomplemented
238#2388C2211yescharacteristic, complemented
239C2×#392C2214yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2212yescomplemented
243#2343C2214yescomplemented
244#2341C2212yescomplemented
245#2341C2211yescharacteristic, complemented
246#2339C2212yescomplemented
247#2339C2211yescharacteristic, complemented
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yescomplemented
250D4×C22⋊C4C2212yescomplemented
251#2328C2212yescomplemented
252#2328C2212yescomplemented
253#2328C2212yescomplemented
254#2326C2212yescomplemented
255C4×#124C2211yescharacteristic, complemented
256C4×#124C2212yescomplemented
257#2295C2211yescharacteristic, complemented
258#2293C2212yescomplemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2314yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2314yes—
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2314yes—
275#559—44no—
276#551—48no—
277#550—48no—
278#550—44no—
279#550—48no—
280#546—48no—
281D42—48no—
282D42—48no—
283#537—44no—
284#535—416no—
285#535—48no—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2314yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#127C2312yes—
295C2×#127C2314yes—
296C2×#127C2314yes—
297C2×#127C2312yes—
298C2×#127C2314yes—
299C2×#127C2312yes—
300C2×#126C2314yes—
301C2×#124C2312yes—
302C2×#124C2311yescharacteristic
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2311yescharacteristic
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2312yes—
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×Q8C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#399C2314yes—
407#398C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2311yescharacteristic
438#395C2311yescharacteristic
439#395C2312yes—
440#395C2312yes—
441#395C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2311yescharacteristic
452#394C2312yes—
453#394C2312yes—
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2312yes—
489#393C2312yes—
490#393C2312yes—
491#393C2312yes—
492#393C2312yes—
493#393C2312yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2311yescharacteristic
498#393C2311yescharacteristic
499#393C2312yes—
500#393C2314yes—
501#393C2312yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2312yes—
524#392C2311yescharacteristic
525#392C2312yes—
526#392C2311yescharacteristic
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2314yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2312yes—
559#391C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#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#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#384C2312yes—
674#383C2314yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#381C2314yes—
680#381C2312yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2311yescharacteristic
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720#376C2312yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C43C2311yescharacteristic
725C25C2412yes—
726C25C2414yes—
727C25C2414yes—
728H(5,𝔽2)—464no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—42no—
736C2×#41—44no—
737C2×#41—42no—
738C2×#41—48no—
739C2×#41—48no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—48no—
743C2×#41—44no—
744C2×#41—84no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2411yescharacteristic
749C22×Q8C2411yescharacteristic
750C22×D4—28no—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—48no—
754C22×D4—44no—
755C22×D4—42no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4—84no—
767C22×D4—84no—
768C22×D4—84no—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2411yescharacteristic
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826#127—28no—
827#127—28no—
828#127—28no—
829#127—48no—
830#127—44no—
831#127—44no—
832#127—44no—
833#127—42no—
834#127—42no—
835#127—48no—
836#127—48no—
837#127—82no—
838#127—82no—
839#127—84no—
840#126—48no—
841#124—28no—
842#124—28no—
843#124—24no—
844#124—44no—
845#124—48no—
846#124—48no—
847#124—82no—
848#123—48no—
849#123—48no—
850#123—48no—
851#123—44no—
852#123—84no—
853C22⋊Q8—28no—
854C22⋊Q8—48no—
855C22⋊Q8—44no—
856#121—28no—
857#121—28no—
858#121—44no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—44no—
877#121—42no—
878#121—42no—
879#121—44no—
880#121—44no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—84no—
885#121—84no—
886#121—84no—
887#121—84no—
888#121—84no—
889#121—84no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—48no—
895#120—44no—
896#120—48no—
897#120—48no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—84no—
903#120—84no—
904#120—84no—
905#120—84no—
906#120—84no—
907#120—84no—
908#120—84no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×D4—28no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—48no—
928#117—216no—
929#117—44no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—84no—
961C2×C22⋊C4—84no—
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⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
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—42no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—42no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24C2511yescharacteristic
1119C24C2512yes—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2514yes—
1123C24C2511yescharacteristic
1124C24C2512yes—
1125C24C2514yes—
1126#41—432no—
1127#41—416no—
1128#41—432no—
1129#41—416no—
1130#41—88no—
1131#41—88no—
1132#41—832no—
1133C2×Q8—24no—
1134C2×Q8—24no—
1135C2×Q8—22no—
1136C2×Q8—42no—
1137C2×Q8—41no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8—42no—
1143C2×Q8—41no—
1144C2×Q8H(5,𝔽2)14yes—
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—28no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
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—42no—
1215C2×D4—41no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—41no—
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—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—416no—
1263C2×D4—432no—
1264C2×D4—464no—
1265C2×D4—432no—
1266C2×D4—816no—
1267C2×D4—832no—
1268C2×D4—832no—
1269C2×D4H(5,𝔽2)18yes—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
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×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C42—28no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—44no—
1441C42—44no—
1442C42—42no—
1443C42—41no—
1444C42—42no—
1445C42H(5,𝔽2)14yescomplemented
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—21no—
1490C23—24no—
1491C23—21no—
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—164no—
1505C23—162no—
1506C23—164no—
1507C23—164no—
1508C23—164no—
1509C23—162no—
1510C23—164no—
1511C23—164no—
1512C23C2×H(5,𝔽2)18yes—
1513C23C2611yescharacteristic
1514Q8—28no—
1515Q8—48no—
1516Q8—44no—
1517Q8—82no—
1518Q8—82no—
1519D4—216no—
1520D4—416no—
1521D4—48no—
1522D4—48no—
1523D4—48no—
1524D4—416no—
1525D4—48no—
1526D4—44no—
1527D4—48no—
1528D4—44no—
1529D4—48no—
1530D4—44no—
1531D4—82no—
1532D4—84no—
1533D4—84no—
1534D4—88no—
1535D4—88no—
1536D4—84no—
1537D4—88no—
1538D4—88no—
1539D4—88no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—84no—
1545D4—84no—
1546D4—88no—
1547D4—88no—
1548D4—88no—
1549D4—82no—
1550D4—84no—
1551D4—164no—
1552D4—164no—
1553D4—164no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
1557D4—162no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561D4—164no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
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—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—416no—
1615C2×C4—416no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—84no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—164no—
1626C2×C4—162no—
1627C2×C4—164no—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)14yes—
1633C22—28no—
1634C22—28no—
1635C22—28no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—42no—
1649C22—42no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—44no—
1658C22—44no—
1659C22—42no—
1660C22—42no—
1661C22—44no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—44no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—168no—
1682C22—1616no—
1683C22—1616no—
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—42no—
1701C4—42no—
1702C4—44no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4#353214yes—
1710C2—48no—
1711C2—81no—
1712C2—82no—
1713C2—84no—
1714C2—81no—
1715C2—82no—
1716C2—82no—
1717C2—82no—
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. #59896C2semidirect
2. #59843C2semidirect
3. #56316C2semidirect
4. #54624C2semidirect
5. #53675C2semidirect
6. #53425C2semidirect
7. #53425C2semidirect
8. #53055C2semidirect
9. #52966C2semidirect
10. #52422C2semidirect
11. #52315C2semidirect
12. #47794C2semidirect
13. #45057C2semidirect
14. #44936C2semidirect
15. #44935C2semidirect
16. #44886C2semidirect
17. #44870C2semidirect
18. #42985C2semidirect
19. #42893C2semidirect
20. #42581C2semidirect
21. #42566C2semidirect
22. #42420C2semidirect
23. #42050C2semidirect
24. #41934C2semidirect
25. #39745C2semidirect
26. #39361C2semidirect
27. #36694C2semidirect
28. #36091C2semidirect
29. #35680C2semidirect
31. C2×#559C22semidirect
32. C2×#551C22semidirect
33. C2×#550C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×#537C22semidirect
40. C2×#535C22semidirect
41. C2×#535C22semidirect
42. #2867C22semidirect
43. #2844C22semidirect
44. #2832C22semidirect
45. #2832C22semidirect
46. #2832C22semidirect
47. #2832C22semidirect
48. #2830C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2826C22semidirect
55. #2825C22semidirect
56. #2825C22semidirect
57. #2824C22semidirect
58. #2819C22semidirect
59. #2819C22semidirect
60. #2818C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2812C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
67. #2778C22semidirect
68. #2760C22semidirect
69. #2750C22semidirect
70. #2749C22semidirect
71. #2745C22semidirect
72. #2737C22semidirect
73. #2728C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2699C22semidirect
79. #2697C22semidirect
80. #2697C22semidirect
81. #2693C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2686C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2679C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2670C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2662C22semidirect
120. #2657C22semidirect
121. #2648C22semidirect
122. #2648C22semidirect
123. #2644C22semidirect
124. #2639C22semidirect
125. #2638C22semidirect
126. #2631C22semidirect
127. #2622C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2617C22semidirect
131. #2615C22semidirect
132. #2615C22semidirect
133. #2615C22semidirect
134. #2615C22semidirect
135. #2613C22semidirect
136. #2613C22semidirect
137. #2610C22semidirect
138. #2609C22semidirect
139. #2597C22semidirect
140. #2597C22semidirect
141. #2581C22semidirect
142. #2580C22semidirect
143. #2555C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2544C22semidirect
147. #2543C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2538C22semidirect
153. #2537C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2516C22semidirect
157. #2516C22semidirect
158. #2510C22semidirect
159. #2504C22semidirect
160. #2500C22semidirect
161. #2496C22semidirect
162. #2495C22semidirect
163. #2494C22semidirect
164. #2486C22semidirect
165. #2485C22semidirect
166. #2480C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2461C22semidirect
170. #2457C22semidirect
171. #2457C22semidirect
172. #2444C22semidirect
173. #2444C22semidirect
176. #2433C22semidirect
177. #2433C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
182. #2433C22semidirect
184. #2431C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2430C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2426C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2416C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2412C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
224. #2407C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
227. #2404C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2398C22semidirect
232. #2398C22semidirect
233. #2398C22semidirect
234. #2388C22semidirect
235. #2388C22semidirect
236. #2388C22semidirect
237. #2388C22semidirect
238. #2388C22semidirect
239. C2×#392C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2361C22semidirect
243. #2343C22semidirect
244. #2341C22semidirect
245. #2341C22semidirect
246. #2339C22semidirect
247. #2339C22semidirect
249. D4×C22⋊C4C22semidirect
250. D4×C22⋊C4C22semidirect
251. #2328C22semidirect
252. #2328C22semidirect
253. #2328C22semidirect
254. #2326C22semidirect
255. C4×#124C22semidirect
256. C4×#124C22semidirect
257. #2295C22semidirect
258. #2293C22semidirect
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
#598962
#598432
#563162
#546242
#536752
#534252
#530552
#529662
#524222
#523152
#477942
#450572
#449362
#449352
#448862
#448702
#429852
#428932
#425812
#425662
#424202
#420502
#419342
#397452
#393612
#366942
#360912
#356802