Finite Group Databasebeta

← #7689600

Subgroups — #7689600

Order 512.

5163 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59964C214yesmaximal, complemented
2#59952C212yesmaximal, complemented
3#59822C211yesmaximal, characteristic, complemented
4#59696C212yesmaximal, complemented
5#59509C212yesmaximal, complemented
6#59234C211yesmaximal, characteristic, complemented
7#59228C212yesmaximal, complemented
8#59227C211yesmaximal, characteristic, complemented
9#45388C212yesmaximal, complemented
10#44909C212yesmaximal, complemented
11#44643C214yesmaximal, complemented
12#44632C214yesmaximal, complemented
13#40129C212yesmaximal, complemented
14#40122C212yesmaximal, complemented
15#39626C211yesmaximal, characteristic, complemented
16#39137C211yesmaximal, characteristic, complemented
17#38831C214yesmaximal, complemented
18#37952C212yesmaximal, complemented
19#36493C211yesmaximal, characteristic, complemented
20#36472C211yesmaximal, characteristic, complemented
21#36413C212yesmaximal, complemented
22#36300C212yesmaximal, complemented
23#36273C211yesmaximal, characteristic, complemented
24#36270C211yesmaximal, characteristic, complemented
25#36269C212yesmaximal, complemented
26#36211C211yesmaximal, characteristic, complemented
27#36062C212yesmaximal, complemented
28#36015C212yesmaximal, complemented
29#34954C212yesmaximal, complemented
30#34727C211yesmaximal, characteristic, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34306C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#555C2212yes—
39C2×#555C2212yes—
40C2×#553C2212yes—
41C2×#552C2212yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2861C2214yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2850C2212yes—
52#2806C2214yes—
53#2803C2214yes—
54#2792C2214yes—
55#2785C2214yes—
56#2781C2214yes—
57#2781C2214yes—
58#2781C2214yes—
59#2775C2214yes—
60#2756C2214yes—
61#2756C2214yes—
62#2756C2214yes—
63#2744C2214yes—
64#2733C2214yes—
65#2733C2214yes—
66#2733C2214yes—
67#2733C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2705C2214yes—
71#2686C2214yes—
72#2682C2214yes—
73#2661C2214yes—
74#2661C2214yes—
75#2660C2212yes—
76#2620C2212yes—
77#2611C2214yes—
78#2610C2214yes—
79#2610C2214yes—
80#2610C2214yes—
81#2603C2214yes—
82#2602C2214yes—
83#2601C2214yes—
84#2593C2214yes—
85#2593C2214yes—
86#2593C2214yes—
87#2582C2212yes—
88#2574C2214yes—
89#2571C2212yes—
90#2567C2212yes—
91#2562C2212yes—
92#2562C2212yes—
93#2559C2214yes—
94#2558C2214yes—
95#2558C2214yes—
96#2557C2214yes—
97#2555C2214yes—
98#2555C2214yes—
99#2555C2214yes—
100#2554C2214yes—
101#2552C2211yescharacteristic
102#2552C2212yes—
103#2551C2211yescharacteristic
104#2550C2212yes—
105#2548C2212yes—
106#2548C2212yes—
107#2548C2212yes—
108#2547C2212yes—
109#2543C2214yes—
110#2541C2212yes—
111#2541C2211yescharacteristic
112#2541C2211yescharacteristic
113#2540C2212yes—
114#2540C2212yes—
115#2538C2211yescharacteristic
116#2538C2211yescharacteristic
117#2537C2212yes—
118#2537C2212yes—
119#2536C2212yes—
120#2535C2212yes—
121#2535C2212yes—
122#2532C2214yes—
123#2529C2214yes—
124#2521C2214yes—
125#2521C2214yes—
126#2521C2214yes—
127#2519C2214yes—
128#2513C2212yes—
129#2513C2214yes—
130#2513C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2512C2214yes—
134#2507C2212yes—
135#2506C2212yes—
136#2500C2212yes—
137#2500C2214yes—
138#2500C2214yes—
139#2498C2214yes—
140#2495C2214yes—
141#2495C2212yes—
142#2492C2212yes—
143#2491C2212yes—
144#2491C2212yes—
145#2491C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2489C2212yes—
150#2479C2214yes—
151#2479C2214yes—
152#2479C2212yes—
153#2476C2214yes—
154#2474C2214yes—
155#2474C2214yes—
156#2474C2214yes—
157#2471C2212yes—
158#2471C2214yes—
159#2467C2212yes—
160#2464C2214yes—
161#2464C2214yes—
162#2456C2214yes—
163#2456C2212yes—
164#2454C2212yes—
165#2454C2211yescharacteristic
166#2451C2212yes—
167#2448C2212yes—
168#2448C2214yes—
169#2448C2214yes—
170#2448C2211yescharacteristic
171#2445C2212yes—
172#2441C2211yescharacteristic
173#2431C2212yes—
174#2431C2211yescharacteristic
175#2428C2211yescharacteristic
176#2428C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2426C2212yes—
180#2423C2211yescharacteristic
181#2422C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2415C2212yes—
185#2415C2212yes—
186#2414C2214yes—
187#2414C2211yescharacteristic
188#2414C2212yes—
189#2414C2214yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2407C2211yescharacteristic
196#2397C2212yes—
197#2395C2214yes—
198#2395C2214yes—
199#2392C2212yes—
200#2373C2212yes—
201#2373C2214yes—
202#2373C2212yes—
203#2372C2214yes—
204#2369C2212yes—
205#2367C2214yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2366C2211yescharacteristic
210#2366C2212yes—
211#2365C2211yescharacteristic
212#2364C2214yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2362C2212yes—
219#2362C2211yescharacteristic
220#2362C2211yescharacteristic
221#2361C2212yes—
222#2359C2214yes—
223#2357C2212yes—
224#2356C2212yes—
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2354C2212yes—
229#2354C2214yes—
230#2354C2212yes—
231#2354C2212yes—
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2352C2212yes—
239#2352C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242#2349C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2347C2211yescharacteristic
246#2347C2211yescharacteristic
247#2346C2212yes—
248#2346C2212yes—
249#2346C2212yes—
250#2346C2214yes—
251#2343C2214yes—
252#2341C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2333C2214yes—
257#2331C2212yes—
258#2326C2212yes—
259#2324C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2212yes—
264C4×#127C2211yescharacteristic
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2214yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278#2298C2214yes—
279#2295C2211yescharacteristic
280#2293C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2214yes—
284#2293C2214yes—
285#2293C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2275C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#559—28no—
301#556—28no—
302#555—216no—
303#555—48no—
304#553—48no—
305#552—48no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C4×#41—28no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
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#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2314yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#383C2312yes—
703#383C2312yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#381C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2314yes—
818C2×#41—24no—
819C2×#41—42no—
820C2×#41—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8#4118yescomplemented
860#127—24no—
861#127—42no—
862#127—44no—
863#127—44no—
864#126—28no—
865#126—28no—
866#126—28no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—48no—
871#125—44no—
872#125—44no—
873#124—24no—
874#124—216no—
875#124—216no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—48no—
880#124—48no—
881#124—84no—
882#124—84no—
883#123—28no—
884#123—216no—
885#123—48no—
886#123—48no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—24no—
893#121—28no—
894#121—28no—
895#121—216no—
896#121—44no—
897#121—44no—
898#121—48no—
899#121—48no—
900#121—44no—
901#121—42no—
902#121—44no—
903#121—42no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—84no—
909#121—84no—
910#121—82no—
911C4×Q8—24no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8#4118yes—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—42no—
944C4×D4—82no—
945#117—24no—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—216no—
950#117—24no—
951#117—24no—
952#117—28no—
953#117—24no—
954#117—24no—
955#117—28no—
956#117—48no—
957#117—48no—
958#117—44no—
959#117—84no—
960#117—82no—
961#117—84no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—28no—
1092C2×C42—24no—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2514yes—
1197C24C2512yes—
1198#41—416no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8C2×#4114yes—
1210C2×Q8C2×#4118yes—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—41no—
1305C22×C4—44no—
1306C22×C4—41no—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—41no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4C2×#4114yes—
1393C4⋊C4C2×#4114yes—
1394C4⋊C4C2×#4118yes—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4118yes—
1397C4⋊C4H(5,𝔽2)14yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—28no—
1473C42—28no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—28no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—44no—
1491C42—42no—
1492C42—44no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—41no—
1497C42—41no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—42no—
1503C42C2×#4114yes—
1504C42C2×#4118yes—
1505C42C2×#4114yes—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23—22no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—24no—
1526C23—22no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—21no—
1541C23C2611yescharacteristic
1542Q8—28no—
1543Q8—48no—
1544Q8—44no—
1545Q8—164no—
1546D4—44no—
1547D4—48no—
1548D4—48no—
1549D4—44no—
1550D4—48no—
1551D4—44no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—88no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560D4—84no—
1561D4—164no—
1562D4—164no—
1563D4—164no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—48no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—82no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4C22×#4114yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C2×H(5,𝔽2)14yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—41no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—41no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—41no—
1695C22—44no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22C23×#4111yescharacteristic
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—24no—
1713C4—22no—
1714C4—24no—
1715C4—24no—
1716C4—22no—
1717C4—24no—
1718C4—24no—
1719C4—42no—
1720C4—44no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—44no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4#348314yes—
1739C4#349314yes—
1740C2—84no—
1741C2—82no—
1742C2—82no—
1743C2—81no—
1744C2—81no—
1745C2C2×#348311yescharacteristic
1746C2C2×#349311yescharacteristic
1747C2#6278111yescharacteristic
1748C2#6292311yescharacteristic
1749C2#6300611yescharacteristic
1750C2#6300811yescharacteristic
1751C2#6302111yescharacteristic
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. #59964C2semidirect
2. #59952C2semidirect
3. #59822C2semidirect
4. #59696C2semidirect
5. #59509C2semidirect
6. #59234C2semidirect
7. #59228C2semidirect
8. #59227C2semidirect
9. #45388C2semidirect
10. #44909C2semidirect
11. #44643C2semidirect
12. #44632C2semidirect
13. #40129C2semidirect
14. #40122C2semidirect
15. #39626C2semidirect
16. #39137C2semidirect
17. #38831C2semidirect
18. #37952C2semidirect
19. #36493C2semidirect
20. #36472C2semidirect
21. #36413C2semidirect
22. #36300C2semidirect
23. #36273C2semidirect
24. #36270C2semidirect
25. #36269C2semidirect
26. #36211C2semidirect
27. #36062C2semidirect
28. #36015C2semidirect
29. #34954C2semidirect
30. #34727C2semidirect
31. #34331C2semidirect
32. #34306C2semidirect
33. #34242C2semidirect
34. C4×#556C2semidirect
35. #34129C2semidirect
859. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599642
#599522
#598222
#596962
#595092
#592342
#592282
#592272
#453882
#449092
#446432
#446322
#401292
#401222
#396262
#391372
#388312
#379522
#364932
#364722
#364132
#363002
#362732
#362702
#362692
#362112
#360622
#360152
#349542
#347272
#343312
#343062
#342422
C4×#5562
#341292