Finite Group Databasebeta

← #8701314

Subgroups — #8701314

Order 512.

6344 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59803C212yesmaximal, complemented
2#59650C212yesmaximal, complemented
3#59095C212yesmaximal, complemented
4#59033C212yesmaximal, complemented
5#57965C212yesmaximal, complemented
6#57182C214yesmaximal, complemented
7#56401C214yesmaximal, complemented
8#56346C212yesmaximal, complemented
9#52292C211yesmaximal, characteristic, complemented
10#51068C214yesmaximal, complemented
11#48550C214yesmaximal, complemented
12#48088C214yesmaximal, complemented
13#45599C212yesmaximal, complemented
14#45479C211yesmaximal, characteristic, complemented
15#45355C211yesmaximal, characteristic, complemented
16#45214C211yesmaximal, characteristic, complemented
17#45209C212yesmaximal, complemented
18#44927C212yesmaximal, complemented
19#42979C211yesmaximal, characteristic, complemented
20#42810C211yesmaximal, characteristic, complemented
21#42595C212yesmaximal, complemented
22#42555C212yesmaximal, complemented
23#39876C212yesmaximal, complemented
24#39238C212yesmaximal, complemented
25#38949C212yesmaximal, complemented
26#36842C212yesmaximal, complemented
27#36776C214yesmaximal, complemented
28#36429C211yesmaximal, characteristic, complemented
29#36212C212yesmaximal, complemented
30C23×#41C2211yescharacteristic, complemented
31C2×H(3,𝔽4)C2212yescomplemented
32C2×#554C2211yescharacteristic, complemented
33C2×#550C2212yescomplemented
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×#546C2214yescomplemented
38C2×D42C2212yes—
39C2×D42C2212yescomplemented
40C2×#535C2211yescharacteristic, complemented
41C2×#532C2212yescomplemented
42#2850C2212yescomplemented
43#2849C2214yescomplemented
44#2847C2211yescharacteristic, complemented
45#2847C2212yescomplemented
46#2847C2212yescomplemented
47#2827C2214yescomplemented
48#2826C2214yescomplemented
49#2825C2214yescomplemented
50#2820C2212yescomplemented
51#2816C2212yescomplemented
52#2812C2212yescomplemented
53#2807C2211yescharacteristic, complemented
54#2804C2214yescomplemented
55#2796C2212yescomplemented
56#2780C2212yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2212yescomplemented
60#2764C2214yescomplemented
61#2760C2214yescomplemented
62#2759C2214yescomplemented
63#2753C2214yescomplemented
64#2750C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2749C2214yescomplemented
68#2749C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2746C2212yescomplemented
72#2743C2214yescomplemented
73#2735C2212yescomplemented
74#2735C2211yescharacteristic, complemented
75#2730C2214yescomplemented
76#2730C2214yescomplemented
77#2728C2212yescomplemented
78#2712C2214yescomplemented
79#2712C2212yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2703C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2214yescomplemented
85#2697C2214yescomplemented
86#2696C2214yescomplemented
87#2693C2211yescharacteristic, complemented
88#2692C2214yescomplemented
89#2688C2214yescomplemented
90#2688C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2212yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2684C2214yescomplemented
96#2684C2214yescomplemented
97#2684C2212yescomplemented
98#2678C2214yescomplemented
99#2678C2212yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2675C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2668C2212yes—
112#2668C2211yescharacteristic, complemented
113#2668C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2212yescomplemented
116#2668C2214yescomplemented
117#2650C2214yescomplemented
118#2643C2214yescomplemented
119#2640C2211yescharacteristic, complemented
120#2639C2214yescomplemented
121#2639C2212yescomplemented
122#2635C2212yescomplemented
123#2635C2214yescomplemented
124#2633C2212yescomplemented
125#2631C2212yescomplemented
126#2631C2214yescomplemented
127#2631C2214yescomplemented
128#2625C2211yescharacteristic, complemented
129#2617C2214yescomplemented
130#2572C2214yescomplemented
131#2572C2214yescomplemented
132#2572C2212yescomplemented
133#2568C2212yescomplemented
134#2558C2214yescomplemented
135#2557C2214yescomplemented
136#2557C2214yescomplemented
137#2547C2211yescharacteristic, complemented
138#2547C2212yescomplemented
139#2544C2214yescomplemented
140#2544C2212yescomplemented
141#2543C2212yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2540C2214yescomplemented
145#2540C2211yescharacteristic, complemented
146#2535C2212yes—
147#2535C2212yescomplemented
148#2535C2212yescomplemented
149#2535C2212yescomplemented
150#2514C2212yescomplemented
151#2510C2214yescomplemented
152#2495C2212yescomplemented
153#2495C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2488C2214yescomplemented
159#2487C2212yescomplemented
160#2483C2212yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2464C2214yescomplemented
164#2456C2214yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2450C2214yescomplemented
168#2448C2212yescomplemented
169#2447C2212yescomplemented
170#2447C2214yescomplemented
171#2445C2212yescomplemented
172#2444C2214yescomplemented
173#2444C2214yescomplemented
174#2444C2214yescomplemented
175#2437C2214yescomplemented
176#2436C2212yescomplemented
177#2435C2211yescharacteristic, complemented
178#2433C2212yescomplemented
179#2433C2211yescharacteristic, complemented
180#2433C2214yescomplemented
181#2433C2212yescomplemented
182#2431C2212yes—
183#2431C2212yes—
184#2431C2214yescomplemented
185#2431C2212yescomplemented
186#2431C2214yescomplemented
187#2431C2214yescomplemented
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2426C2212yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2417C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2412C2214yescomplemented
204#2410C2214yescomplemented
205#2410C2214yescomplemented
206#2410C2214yescomplemented
207#2410C2214yescomplemented
208#2409C2212yescomplemented
209#2408C2211yescharacteristic
210#2408C2211yescharacteristic
211#2408C2212yescomplemented
212#2408C2212yescomplemented
213#2408C2212yescomplemented
214#2407C2212yescomplemented
215#2407C2212yescomplemented
216#2407C2212yescomplemented
217#2407C2212yescomplemented
218#2407C2214yescomplemented
219#2404C2214yescomplemented
220#2404C2214yescomplemented
221#2404C2214yescomplemented
222#2404C2214yescomplemented
223#2403C2212yes—
224#2403C2214yes—
225#2403C2214yescomplemented
226#2403C2212yescomplemented
227#2401C2212yescomplemented
228#2397C2211yescharacteristic
229#2395C2211yescharacteristic, complemented
230#2392C2212yescomplemented
231#2380C2214yescomplemented
232#2367C2212yescomplemented
233#2366C2212yescomplemented
234#2361C2212yescomplemented
235#2358C2214yescomplemented
236#2357C2212yescomplemented
237#2341C2212yescomplemented
238Q8×C22⋊C4C2211yescharacteristic, complemented
239#2339C2212yescomplemented
240#2339C2212yescomplemented
241#2339C2211yescharacteristic, complemented
242#2339C2214yescomplemented
243D4×C22⋊C4C2212yescomplemented
244#2337C2214yescomplemented
245#2328C2212yescomplemented
246#2324C2212yescomplemented
247#2321C2214yescomplemented
248#2320C2211yescharacteristic, complemented
249#2308C2214yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#123C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#120C2212yescomplemented
255C4×#120C2211yescharacteristic, complemented
256C4×#120C2212yescomplemented
257C2×#390C2212yescomplemented
258C2×#386C2214yescomplemented
259C22×#41—48no—
260C22×#41—44no—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2314yes—
265C22×#41C2314yes—
266C23×Q8C2311yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273C24×C4C2311yescharacteristic
274C24×C4C2312yes—
275H(3,𝔽4)—48no—
276#554—44no—
277#550—48no—
278#548—44no—
279#546—48no—
280#546—416no—
281#546—48no—
282D42—48no—
283D42—48no—
284#535—44no—
285#532—48no—
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2314yes—
291C2×#127C2314yes—
292C2×#127C2312yes—
293C2×#125C2312yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2311yescharacteristic
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2312yes—
304C2×#123C2312yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#120C2312yes—
343C2×#120C2311yescharacteristic
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352C2×#120C2312yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2312yes—
359C2×#120C2312yes—
360C2×#120C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×#117C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2311yescharacteristic
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#399C2314yes—
404#399C2311yescharacteristic
405#399C2312yes—
406#399C2314yes—
407#399C2311yescharacteristic
408#399C2311yescharacteristic
409#399C2312yes—
410#398C2311yescharacteristic
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#397C2311yescharacteristic
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#395C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2311yescharacteristic
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2311yescharacteristic
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2311yescharacteristic
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2311yescharacteristic
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#382C2312yes—
670#382C2312yes—
671#382C2312yes—
672#381C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2312yes—
699#379C2312yes—
700#379C2311yescharacteristic
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2311yescharacteristic
722C2×#95C2312yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C25C2412yes—
726C25C2414yes—
727C25C2411yescharacteristic
728C25C2412yes—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—48no—
736C2×#41—48no—
737C2×#41—48no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—48no—
742C2×#41—44no—
743C2×#41—464no—
744C22×Q8—24no—
745C22×Q8—44no—
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2414yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—42no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—84no—
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2411yescharacteristic
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C23×C4—44no—
798C23×C4—44no—
799C23×C4—42no—
800C23×C4—48no—
801C23×C4C2412yes—
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C23×C4C2414yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2411yescharacteristic
818C23×C4C2412yes—
819C4⋊Q8—44no—
820C4⋊Q8—42no—
821#127—28no—
822#127—28no—
823#127—44no—
824#127—48no—
825#127—48no—
826#125—44no—
827#124—28no—
828#124—216no—
829#124—48no—
830#124—44no—
831#124—44no—
832#124—42no—
833#124—48no—
834#124—48no—
835#124—44no—
836#124—48no—
837#123—28no—
838#123—48no—
839#123—48no—
840#123—48no—
841C22⋊Q8—28no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—44no—
845C22⋊Q8—42no—
846C22⋊Q8—44no—
847C22⋊Q8—84no—
848#121—28no—
849#121—28no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—48no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—42no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—48no—
871#121—48no—
872#121—84no—
873#121—84no—
874#121—84no—
875#120—28no—
876#120—24no—
877#120—48no—
878#120—48no—
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—44no—
888#120—48no—
889#120—48no—
890#120—44no—
891#120—82no—
892#120—82no—
893#120—82no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×D4—28no—
897C4×D4—48no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—48no—
913C4×D4—48no—
914#117—42no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C22⋊C4—48no—
949C2×C22⋊C4—48no—
950C2×C22⋊C4—48no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—84no—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C42—44no—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042#95C2411yescharacteristic
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093C24—24no—
1094C24—28no—
1095C24—28no—
1096C24—28no—
1097C24—22no—
1098C24—42no—
1099C24—41no—
1100C24—42no—
1101C24—44no—
1102C24—44no—
1103C24—42no—
1104C24—42no—
1105C24—41no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—42no—
1112C24—42no—
1113C24—44no—
1114C24—42no—
1115C24C2514yes—
1116C24C2511yescharacteristic
1117C24C2512yes—
1118C24C2512yes—
1119C24C2511yescharacteristic
1120C24C2514yes—
1121C24C2512yes—
1122#41—432no—
1123#41—432no—
1124#41—464no—
1125#41—832no—
1126#41—88no—
1127C2×Q8—24no—
1128C2×Q8—24no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—28no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—416no—
1139C2×Q8H(5,𝔽2)14yes—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—22no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—41no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—41no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—416no—
1228C2×D4—432no—
1229C2×D4—816no—
1230C2×D4—88no—
1231C2×D4—832no—
1232C2×D4—832no—
1233C2×D4H(5,𝔽2)18yes—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
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—432no—
1284C22×C4—416no—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—44no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—41no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—41no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4H(5,𝔽2)14yes—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—28no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—42no—
1426C42—44no—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—24no—
1436C23—22no—
1437C23—24no—
1438C23—24no—
1439C23—22no—
1440C23—24no—
1441C23—21no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—24no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—21no—
1467C23—48no—
1468C23—416no—
1469C23—416no—
1470C23—44no—
1471C23—84no—
1472C23—88no—
1473C23—84no—
1474C23—82no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—84no—
1480C23—82no—
1481C23—84no—
1482C23—88no—
1483C23—84no—
1484C23—164no—
1485C23—164no—
1486C23—164no—
1487C23—162no—
1488C23—162no—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×H(5,𝔽2)18yes—
1491C23#58514yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—48no—
1495Q8—44no—
1496Q8—88no—
1497Q8—162no—
1498D4—216no—
1499D4—416no—
1500D4—416no—
1501D4—44no—
1502D4—48no—
1503D4—48no—
1504D4—416no—
1505D4—416no—
1506D4—48no—
1507D4—48no—
1508D4—44no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—88no—
1514D4—84no—
1515D4—82no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—84no—
1524D4—164no—
1525D4—164no—
1526D4—164no—
1527D4—164no—
1528D4—164no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—416no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—416no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—164no—
1602C2×C4—164no—
1603C2×C4C2×H(5,𝔽2)14yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)14yes—
1607C22—24no—
1608C22—28no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—28no—
1613C22—22no—
1614C22—28no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—44no—
1622C22—42no—
1623C22—44no—
1624C22—41no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—44no—
1635C22—41no—
1636C22—44no—
1637C22—42no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—44no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—44no—
1650C22—816no—
1651C22—88no—
1652C22—1616no—
1653C22—168no—
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×H(5,𝔽2)12yes—
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58512yes—
1658C22H(7,𝔽2)11yescharacteristic
1659C4—24no—
1660C4—24no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—44no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4#353214yes—
1681C2—42no—
1682C2—48no—
1683C2—44no—
1684C2—82no—
1685C2—82no—
1686C2—84no—
1687C2—81no—
1688C2C2×#353211yescharacteristic
1689C2#6289612yes—
1690C2#6291611yescharacteristic
1691C2#6301212yes—
1692C2#6302011yescharacteristic
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. #59803C2semidirect
2. #59650C2semidirect
3. #59095C2semidirect
4. #59033C2semidirect
5. #57965C2semidirect
6. #57182C2semidirect
7. #56401C2semidirect
8. #56346C2semidirect
9. #52292C2semidirect
10. #51068C2semidirect
11. #48550C2semidirect
12. #48088C2semidirect
13. #45599C2semidirect
14. #45479C2semidirect
15. #45355C2semidirect
16. #45214C2semidirect
17. #45209C2semidirect
18. #44927C2semidirect
19. #42979C2semidirect
20. #42810C2semidirect
21. #42595C2semidirect
22. #42555C2semidirect
23. #39876C2semidirect
24. #39238C2semidirect
25. #38949C2semidirect
26. #36842C2semidirect
27. #36776C2semidirect
28. #36429C2semidirect
29. #36212C2semidirect
30. C23×#41C22semidirect
31. C2×H(3,𝔽4)C22semidirect
32. C2×#554C22semidirect
33. C2×#550C22semidirect
34. C2×#548C22semidirect
35. C2×#546C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
39. C2×D42C22semidirect
40. C2×#535C22semidirect
41. C2×#532C22semidirect
42. #2850C22semidirect
43. #2849C22semidirect
44. #2847C22semidirect
45. #2847C22semidirect
46. #2847C22semidirect
47. #2827C22semidirect
48. #2826C22semidirect
49. #2825C22semidirect
50. #2820C22semidirect
51. #2816C22semidirect
52. #2812C22semidirect
53. #2807C22semidirect
54. #2804C22semidirect
55. #2796C22semidirect
56. #2780C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2764C22semidirect
61. #2760C22semidirect
62. #2759C22semidirect
63. #2753C22semidirect
64. #2750C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2749C22semidirect
68. #2749C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
71. #2746C22semidirect
72. #2743C22semidirect
73. #2735C22semidirect
74. #2735C22semidirect
75. #2730C22semidirect
76. #2730C22semidirect
77. #2728C22semidirect
78. #2712C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2703C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2697C22semidirect
86. #2696C22semidirect
87. #2693C22semidirect
88. #2692C22semidirect
89. #2688C22semidirect
90. #2688C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2684C22semidirect
96. #2684C22semidirect
97. #2684C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2675C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2650C22semidirect
118. #2643C22semidirect
119. #2640C22semidirect
120. #2639C22semidirect
121. #2639C22semidirect
122. #2635C22semidirect
123. #2635C22semidirect
124. #2633C22semidirect
125. #2631C22semidirect
126. #2631C22semidirect
127. #2631C22semidirect
128. #2625C22semidirect
129. #2617C22semidirect
130. #2572C22semidirect
131. #2572C22semidirect
132. #2572C22semidirect
133. #2568C22semidirect
134. #2558C22semidirect
135. #2557C22semidirect
136. #2557C22semidirect
137. #2547C22semidirect
138. #2547C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2543C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2535C22semidirect
150. #2514C22semidirect
151. #2510C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
154. #2492C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2488C22semidirect
159. #2487C22semidirect
160. #2483C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2464C22semidirect
164. #2456C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2450C22semidirect
168. #2448C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2445C22semidirect
172. #2444C22semidirect
173. #2444C22semidirect
174. #2444C22semidirect
175. #2437C22semidirect
176. #2436C22semidirect
177. #2435C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
184. #2431C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2426C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2417C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2412C22semidirect
204. #2410C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
207. #2410C22semidirect
208. #2409C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2407C22semidirect
215. #2407C22semidirect
216. #2407C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2404C22semidirect
220. #2404C22semidirect
221. #2404C22semidirect
222. #2404C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2401C22semidirect
229. #2395C22semidirect
230. #2392C22semidirect
231. #2380C22semidirect
232. #2367C22semidirect
233. #2366C22semidirect
234. #2361C22semidirect
235. #2358C22semidirect
236. #2357C22semidirect
237. #2341C22semidirect
238. Q8×C22⋊C4C22semidirect
239. #2339C22semidirect
240. #2339C22semidirect
241. #2339C22semidirect
242. #2339C22semidirect
243. D4×C22⋊C4C22semidirect
244. #2337C22semidirect
245. #2328C22semidirect
246. #2324C22semidirect
247. #2321C22semidirect
248. #2320C22semidirect
249. #2308C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#123C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. C2×#390C22semidirect
258. C2×#386C22semidirect

Maximal subgroups

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

subgroupindex
#598032
#596502
#590952
#590332
#579652
#571822
#564012
#563462
#522922
#510682
#485502
#480882
#455992
#454792
#453552
#452142
#452092
#449272
#429792
#428102
#425952
#425552
#398762
#392382
#389492
#368422
#367762
#364292
#362122