Finite Group Databasebeta

← #7699921

Subgroups — #7699921

Order 512.

5459 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59776C214yesmaximal, complemented
3#59769C212yesmaximal, complemented
4#59741C214yesmaximal, complemented
5#59717C212yesmaximal, complemented
6#59684C212yesmaximal, complemented
7#59676C212yesmaximal, complemented
8#59674C214yesmaximal, complemented
9#59666C211yesmaximal, characteristic, complemented
10#59634C212yesmaximal, complemented
11#59134C211yesmaximal, characteristic, complemented
12#59049C211yesmaximal, characteristic, complemented
13#36596C211yesmaximal, characteristic, complemented
14#36591C211yesmaximal, characteristic, complemented
15#36587C211yesmaximal, characteristic, complemented
16#36586C211yesmaximal, characteristic, complemented
17#36580C212yesmaximal, complemented
18#36518C212yesmaximal, complemented
19#36507C212yesmaximal, complemented
20#36494C212yesmaximal, complemented
21#36485C212yesmaximal, complemented
22#36469C211yesmaximal, characteristic, complemented
23#36450C211yesmaximal, characteristic, complemented
24#36437C212yesmaximal, complemented
25#36396C212yesmaximal, complemented
26#36292C212yesmaximal, complemented
27#36249C214yesmaximal, complemented
28#36122C211yesmaximal, characteristic, complemented
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#556C211yesmaximal, characteristic, complemented
31C4×#553C211yesmaximal, characteristic, complemented
32C4×#553C212yesmaximal, complemented
33C4×#548C212yesmaximal, complemented
34#34141C211yesmaximal, characteristic, complemented
35C2×#2365C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#553C2212yes—
41C2×#548C2212yes—
42C2×#532C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×C4×#41C2212yes—
45C22×C4×Q8C2212yes—
46#2865C2214yes—
47#2863C2212yes—
48#2861C2212yes—
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2854C2212yes—
54#2853C2214yes—
55#2850C2212yes—
56#2850C2214yes—
57#2850C2212yes—
58#2802C2214yes—
59#2801C2214yes—
60#2800C2214yes—
61#2798C2214yes—
62#2796C2214yes—
63#2759C2214yes—
64#2757C2214yes—
65#2716C2214yes—
66#2714C2214yes—
67#2602C2214yes—
68#2602C2214yes—
69#2600C2214yes—
70#2597C2214yes—
71#2596C2214yes—
72#2595C2214yes—
73#2594C2214yes—
74#2594C2214yes—
75#2592C2214yes—
76#2592C2212yes—
77#2587C2214yes—
78#2582C2212yes—
79#2581C2212yes—
80#2580C2214yes—
81#2577C2214yes—
82#2577C2214yes—
83#2576C2214yes—
84#2575C2214yes—
85#2571C2211yescharacteristic
86#2568C2211yescharacteristic
87#2565C2212yes—
88#2564C2214yes—
89#2560C2214yes—
90#2560C2214yes—
91#2560C2214yes—
92#2558C2214yes—
93#2557C2214yes—
94#2557C2214yes—
95#2557C2214yes—
96#2554C2214yes—
97#2552C2211yescharacteristic
98#2550C2212yes—
99#2548C2212yes—
100#2548C2211yescharacteristic
101#2547C2211yescharacteristic
102#2545C2212yes—
103#2545C2212yes—
104#2544C2212yes—
105#2543C2214yes—
106#2543C2214yes—
107#2543C2214yes—
108#2541C2211yescharacteristic
109#2540C2212yes—
110#2531C2214yes—
111#2528C2214yes—
112#2527C2214yes—
113#2523C2214yes—
114#2523C2214yes—
115#2522C2214yes—
116#2520C2214yes—
117#2519C2214yes—
118#2518C2214yes—
119#2518C2214yes—
120#2516C2214yes—
121#2516C2214yes—
122#2515C2214yes—
123#2514C2212yes—
124#2514C2212yes—
125#2513C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2512C2212yes—
129#2510C2214yes—
130#2510C2214yes—
131#2510C2214yes—
132#2508C2212yes—
133#2507C2212yes—
134#2504C2212yes—
135#2499C2212yes—
136#2494C2212yes—
137#2494C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2491C2212yes—
142#2490C2212yes—
143#2489C2212yes—
144#2487C2212yes—
145#2481C2214yes—
146#2474C2214yes—
147#2470C2214yes—
148#2467C2214yes—
149#2461C2214yes—
150#2458C2214yes—
151#2458C2214yes—
152#2457C2214yes—
153#2452C2212yes—
154#2452C2212yes—
155#2448C2212yes—
156#2448C2212yes—
157#2448C2212yes—
158#2448C2212yes—
159#2447C2212yes—
160#2447C2212yes—
161#2446C2212yes—
162#2445C2212yes—
163#2444C2214yes—
164#2443C2214yes—
165#2443C2214yes—
166#2439C2212yes—
167#2436C2212yes—
168#2436C2212yes—
169#2432C2212yes—
170#2431C2212yes—
171#2427C2212yes—
172#2422C2212yes—
173#2417C2212yes—
174#2416C2212yes—
175#2416C2212yes—
176#2416C2212yes—
177#2414C2212yes—
178#2374C2214yes—
179#2374C2212yes—
180#2373C2214yes—
181#2373C2214yes—
182#2373C2212yes—
183#2370C2212yes—
184#2370C2211yescharacteristic
185#2370C2212yes—
186#2369C2211yescharacteristic
187#2368C2212yes—
188#2368C2212yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2212yes—
192#2367C2214yes—
193#2367C2212yes—
194#2367C2212yes—
195#2366C2211yescharacteristic
196#2366C2211yescharacteristic
197#2365C2211yescharacteristic
198#2365C2211yescharacteristic
199#2365C2212yes—
200#2365C2212yes—
201#2365C2212yes—
202#2365C2211yescharacteristic
203#2365C2214yes—
204#2365C2211yescharacteristic
205#2365C2212yes—
206#2365C2211yescharacteristic
207#2364C2212yes—
208#2364C2214yes—
209#2364C2214yes—
210#2364C2214yes—
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2363C2212yes—
214#2362C2214yes—
215#2362C2212yes—
216#2362C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2214yes—
220#2361C2212yes—
221#2361C2212yes—
222#2361C2212yes—
223#2361C2211yescharacteristic
224#2360C2211yescharacteristic
225#2360C2211yescharacteristic
226#2357C2211yescharacteristic
227#2357C2212yes—
228#2357C2212yes—
229#2356C2212yes—
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2354C2211yescharacteristic
234#2353C2214yes—
235#2353C2212yes—
236#2352C2212yes—
237#2352C2211yescharacteristic
238#2352C2214yes—
239#2352C2212yes—
240#2351C2212yes—
241#2349C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yes—
244#2347C2211yescharacteristic
245#2347C2212yes—
246#2345C2211yescharacteristic
247#2345C2211yescharacteristic
248#2345C2211yescharacteristic
249#2341C2212yes—
250Q8×C22⋊C4C2212yes—
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2211yescharacteristic
253C4×#125C2211yescharacteristic
254C4×#125C2212yes—
255C4×#125C2212yes—
256C4×#126C2212yes—
257C4×#126C2214yes—
258C4×#126C2214yes—
259C4×#124C2212yes—
260C4×#124C2212yes—
261C4×#124C2214yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2214yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×#123C2214yes—
270C4×#123C2212yes—
271C4×#121C2214yes—
272C4×#121C2214yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2297C2212yes—
280C2×#391C2212yes—
281#2293C2212yes—
282C2×#389C2212yes—
283#2290C2214yes—
284C2×#387C2214yes—
285C42×Q8C2212yes—
286C42×Q8C2211yescharacteristic
287C42×D4C2211yescharacteristic
288C42×D4C2212yes—
289C42×D4C2212yes—
290C42×D4C2214yes—
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2212yes—
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—48no—
302#556—28no—
303#554—28no—
304#553—28no—
305#553—216no—
306#548—216no—
307#532—28no—
308C2×C4⋊Q8—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C4×#41—48no—
356C2×C4×Q8—48no—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2314yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2314yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2314yes—
414C22×C42C2312yes—
415C22×C42C2312yes—
416#401C2314yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#383C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#381C2314yes—
697#381C2312yes—
698#381C2314yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2314yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C22×Q8—28no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C4⋊Q8—28no—
862C4⋊Q8—28no—
863C4⋊Q8—28no—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8#4118yes—
867#127—24no—
868#127—44no—
869#126—28no—
870#126—216no—
871#126—216no—
872#125—28no—
873#125—28no—
874#125—24no—
875#124—28no—
876#124—28no—
877#124—216no—
878#124—28no—
879#124—48no—
880#124—44no—
881#124—44no—
882#124—44no—
883#123—216no—
884#123—28no—
885#123—48no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—24no—
890C22⋊Q8—216no—
891C22⋊Q8—28no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894#121—216no—
895#121—28no—
896#121—28no—
897#121—216no—
898#121—24no—
899#121—24no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—44no—
905#121—44no—
906#121—48no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—48no—
915C4×Q8—48no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—42no—
919C4×Q8—44no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—216no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4#4118yes—
944#117—24no—
945#117—28no—
946#117—28no—
947#117—24no—
948#117—48no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—48no—
957C2×C4⋊C4#4118yescomplemented
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—48no—
1074C2×C42—44no—
1075C2×C42—48no—
1076C2×C42—44no—
1077C2×C42—44no—
1078C2×C42—44no—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2414yes—
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—432no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—28no—
1203C2×Q8—24no—
1204C2×Q8—28no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—44no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—432no—
1214C2×Q8C2×#4118yes—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4C2×#4114yes—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4C2×#4114yes—
1302C22×C4C2×#4114yes—
1303C22×C4C2×#4114yes—
1304C22×C4C2×#4118yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4C2×#4114yes—
1392C4⋊C4C2×#4118yes—
1393C4⋊C4C2×#4118yes—
1394C4⋊C4C2×#4114yes—
1395C4⋊C4C2×#4118yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4H(5,𝔽2)14yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4C2×#4114yes—
1448C22⋊C4C2×#4114yes—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—28no—
1456C42—24no—
1457C42—28no—
1458C42—24no—
1459C42—28no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—28no—
1465C42—24no—
1466C42—24no—
1467C42—28no—
1468C42—24no—
1469C42—22no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—42no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—41no—
1486C42—42no—
1487C42—41no—
1488C42—42no—
1489C42—44no—
1490C42—42no—
1491C42—42no—
1492C42C2×#4114yes—
1493C42C2×#4114yes—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23C22×#4112yes—
1519C23C22×#4112yes—
1520C23C22×#4112yes—
1521C23#58512yes—
1522C23C2611yescharacteristic
1523Q8—216no—
1524Q8—416no—
1525Q8—44no—
1526Q8—48no—
1527Q8—84no—
1528D4—28no—
1529D4—416no—
1530D4—416no—
1531D4—48no—
1532D4—48no—
1533D4—44no—
1534D4—48no—
1535D4—88no—
1536D4—84no—
1537D4—84no—
1538D4—164no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—28no—
1560C2×C4—28no—
1561C2×C4—28no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—48no—
1620C2×C4—416no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—416no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—88no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—82no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4114yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4118yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4114yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C2×H(5,𝔽2)14yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4#58512yes—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22#348014yes—
1679C22C23×#4111yescharacteristic
1680C22C23×#4111yescharacteristic
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C222−1+611yescharacteristic
1686C4—24no—
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—24no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—28no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4#348014yes—
1716C4#348114yes—
1717C2—24no—
1718C2—42no—
1719C2—84no—
1720C2—82no—
1721C2C2×#348011yescharacteristic
1722C2C2×#348011yescharacteristic
1723C2C2×#348111yescharacteristic
1724C2#6298411yescharacteristic
1725C2#6299511yescharacteristic
1726C2#6300511yescharacteristic
1727C2#6301811yescharacteristic
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. #59874C2semidirect
2. #59776C2semidirect
3. #59769C2semidirect
4. #59741C2semidirect
5. #59717C2semidirect
6. #59684C2semidirect
7. #59676C2semidirect
8. #59674C2semidirect
9. #59666C2semidirect
10. #59634C2semidirect
11. #59134C2semidirect
12. #59049C2semidirect
13. #36596C2semidirect
14. #36591C2semidirect
15. #36587C2semidirect
16. #36586C2semidirect
17. #36580C2semidirect
18. #36518C2semidirect
19. #36507C2semidirect
20. #36494C2semidirect
21. #36485C2semidirect
22. #36469C2semidirect
23. #36450C2semidirect
24. #36437C2semidirect
25. #36396C2semidirect
26. #36292C2semidirect
27. #36249C2semidirect
28. #36122C2semidirect
29. C4×#554C2semidirect
30. C4×#556C2semidirect
31. C4×#553C2semidirect
32. C4×#553C2semidirect
33. C4×#548C2semidirect
34. #34141C2semidirect
35. C2×#2365C2semidirect
957. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598742
#597762
#597692
#597412
#597172
#596842
#596762
#596742
#596662
#596342
#591342
#590492
#365962
#365912
#365872
#365862
#365802
#365182
#365072
#364942
#364852
#364692
#364502
#364372
#363962
#362922
#362492
#361222
C4×#5542
C4×#5562
C4×#5532
C4×#5482
#341412
C2×#23652