Finite Group Databasebeta

← #7688346

Subgroups — #7688346

Order 512.

5284 conjugacy classes of subgroups.

The subgroup lattice has 1779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59854C212yesmaximal, complemented
3#59824C212yesmaximal, complemented
4#59680C211yesmaximal, characteristic, complemented
5#59647C212yesmaximal, complemented
6#59581C212yesmaximal, complemented
7#59279C212yesmaximal, complemented
8#59057C211yesmaximal, characteristic, complemented
9#59049C211yesmaximal, characteristic, complemented
10#44262C214yesmaximal, complemented
11#44097C214yesmaximal, complemented
12#43950C214yesmaximal, complemented
13#40105C212yesmaximal, complemented
14#40092C212yesmaximal, complemented
15#39996C212yesmaximal, complemented
16#39865C212yesmaximal, complemented
17#39539C212yesmaximal, complemented
18#39227C212yesmaximal, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36536C212yesmaximal, complemented
21#36534C211yesmaximal, characteristic, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36366C212yesmaximal, complemented
25#36275C211yesmaximal, characteristic, complemented
26#36176C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#35766C214yesmaximal, complemented
29#34977C211yesmaximal, characteristic, complemented
30#34954C211yesmaximal, characteristic, complemented
31#34937C211yesmaximal, characteristic, complemented
32#34323C212yesmaximal, complemented
33#34232C212yesmaximal, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553C2212yes—
39C2×#552C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#532C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2864C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2861C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2855C2212yes—
53#2855C2212yes—
54#2854C2212yes—
55#2803C2214yes—
56#2803C2214yes—
57#2797C2214yes—
58#2797C2214yes—
59#2793C2214yes—
60#2786C2214yes—
61#2783C2214yes—
62#2779C2214yes—
63#2773C2214yes—
64#2761C2214yes—
65#2753C2214yes—
66#2752C2214yes—
67#2741C2214yes—
68#2730C2214yes—
69#2721C2214yes—
70#2714C2214yes—
71#2714C2214yes—
72#2688C2214yes—
73#2673C2214yes—
74#2673C2214yes—
75#2671C2214yes—
76#2667C2214yes—
77#2648C2214yes—
78#2635C2214yes—
79#2610C2214yes—
80#2600C2214yes—
81#2600C2214yes—
82#2600C2214yes—
83#2598C2214yes—
84#2597C2214yes—
85#2593C2214yes—
86#2591C2214yes—
87#2588C2214yes—
88#2582C2211yescharacteristic
89#2578C2214yes—
90#2578C2214yes—
91#2578C2214yes—
92#2577C2214yes—
93#2577C2214yes—
94#2573C2214yes—
95#2571C2211yescharacteristic
96#2567C2211yescharacteristic
97#2565C2212yes—
98#2563C2211yescharacteristic
99#2560C2214yes—
100#2560C2214yes—
101#2554C2214yes—
102#2554C2214yes—
103#2548C2212yes—
104#2548C2211yescharacteristic
105#2548C2211yescharacteristic
106#2547C2211yescharacteristic
107#2546C2211yescharacteristic
108#2545C2212yes—
109#2544C2212yes—
110#2544C2212yes—
111#2543C2214yes—
112#2543C2214yes—
113#2541C2211yescharacteristic
114#2541C2211yescharacteristic
115#2541C2212yes—
116#2540C2212yes—
117#2540C2212yes—
118#2536C2212yes—
119#2536C2212yes—
120#2535C2212yes—
121#2535C2212yes—
122#2532C2214yes—
123#2531C2214yes—
124#2530C2214yes—
125#2526C2214yes—
126#2520C2214yes—
127#2518C2214yes—
128#2516C2214yes—
129#2516C2214yes—
130#2513C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2512C2212yes—
134#2511C2212yes—
135#2509C2212yes—
136#2508C2212yes—
137#2508C2212yes—
138#2504C2214yes—
139#2500C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2490C2212yes—
143#2490C2214yes—
144#2488C2214yes—
145#2487C2212yes—
146#2486C2212yes—
147#2485C2212yes—
148#2485C2212yes—
149#2478C2214yes—
150#2476C2214yes—
151#2471C2214yes—
152#2471C2214yes—
153#2468C2214yes—
154#2467C2214yes—
155#2467C2214yes—
156#2457C2214yes—
157#2456C2214yes—
158#2454C2212yes—
159#2453C2212yes—
160#2449C2214yes—
161#2448C2212yes—
162#2448C2212yes—
163#2448C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2447C2212yes—
167#2446C2212yes—
168#2445C2212yes—
169#2441C2212yes—
170#2438C2214yes—
171#2432C2212yes—
172#2431C2212yes—
173#2431C2212yes—
174#2428C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2421C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2420C2214yes—
184#2417C2212yes—
185#2416C2212yes—
186#2416C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2407C2214yes—
197#2395C2214yes—
198#2392C2214yes—
199#2388C2214yes—
200#2373C2214yes—
201#2373C2212yes—
202#2371C2212yes—
203#2370C2211yescharacteristic
204#2369C2211yescharacteristic
205#2366C2212yes—
206#2366C2212yes—
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2365C2212yes—
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2363C2211yescharacteristic
213#2363C2212yes—
214#2363C2212yes—
215#2363C2214yes—
216#2363C2212yes—
217#2363C2211yescharacteristic
218#2363C2214yes—
219#2362C2212yes—
220#2362C2211yescharacteristic
221#2361C2212yes—
222#2361C2214yes—
223#2360C2211yescharacteristic
224#2359C2214yes—
225#2359C2212yes—
226#2356C2211yescharacteristic
227#2355C2212yes—
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2353C2214yes—
232#2353C2214yes—
233#2353C2214yes—
234#2352C2212yes—
235#2352C2214yes—
236#2352C2211yescharacteristic
237#2352C2212yes—
238#2352C2212yes—
239#2352C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241#2349C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244#2346C2212yes—
245#2346C2211yescharacteristic
246#2345C2212yes—
247#2344C2211yescharacteristic
248#2343C2212yes—
249#2341C2211yescharacteristic
250#2341C2211yescharacteristic
251#2341C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2335C2214yes—
256#2334C2214yes—
257#2333C2214yes—
258#2333C2214yes—
259#2325C2214yes—
260#2319C2214yes—
261C4×#127C2212yes—
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2212yes—
286#2296C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289C2×#389C2212yes—
290#2283C2212yes—
291#2275C2214yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303#556—44no—
304#554—44no—
305#553—216no—
306#552—28no—
307#550—28no—
308#532—216no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C4×#41—44no—
359C4×#41—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2314yes—
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
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#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#383C2312yes—
701#383C2314yes—
702#383C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2312yes—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C2×#41#4118yescomplemented
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C4⋊Q8—28no—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876#127—28no—
877#127—24no—
878#127—28no—
879#127—24no—
880#127—44no—
881#126—28no—
882#126—216no—
883#126—48no—
884#125—28no—
885#125—44no—
886#125#4118yescomplemented
887#124—28no—
888#124—28no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—44no—
893#123—28no—
894#123—216no—
895#123—84no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—82no—
903#121—216no—
904#121—216no—
905#121—24no—
906#121—28no—
907#121—24no—
908#121—28no—
909#121—216no—
910#121—28no—
911#121—28no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—84no—
919#121—84no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—44no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×D4—216no—
931C4×D4—216no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—216no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—84no—
961C4×D4—82no—
962#117—24no—
963#117—28no—
964#117—28no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—42no—
969#117—42no—
970#117—42no—
971#117—44no—
972#117—84no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—84no—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—28no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2511yescharacteristic
1206C24C2514yes—
1207C24C2512yes—
1208C24C2511yescharacteristic
1209C24C2512yes—
1210#41—416no—
1211#41—416no—
1212#41—816no—
1213#41—816no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8C2×#4114yes—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—41no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4C2×#4114yes—
1279C2×D4C2×#4118yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—41no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4C2×#4114yes—
1336C22×C4C2×#4118yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2514yes—
1345C22×C4C2514yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4C2×#4114yes—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4118yes—
1424C4⋊C4C2×#4118yes—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—22no—
1447C22⋊C4—24no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—41no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—28no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—24no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—42no—
1516C42—42no—
1517C42—41no—
1518C42—42no—
1519C42—44no—
1520C42—41no—
1521C42—42no—
1522C42—42no—
1523C42—44no—
1524C42—42no—
1525C42C2×#4114yes—
1526C42H(5,𝔽2)14yes—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—24no—
1541C23—22no—
1542C23—24no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—21no—
1555C23—24no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—21no—
1560C23C22×#4114yes—
1561C23C22×#4112yes—
1562C23C2611yescharacteristic
1563Q8—28no—
1564Q8—48no—
1565Q8—44no—
1566Q8—84no—
1567D4—28no—
1568D4—48no—
1569D4—416no—
1570D4—44no—
1571D4—48no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—48no—
1576D4—48no—
1577D4—88no—
1578D4—88no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—28no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—48no—
1663C2×C4—44no—
1664C2×C4—48no—
1665C2×C4—48no—
1666C2×C4—44no—
1667C2×C4—48no—
1668C2×C4—44no—
1669C2×C4—48no—
1670C2×C4—44no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—84no—
1674C2×C4—82no—
1675C2×C4—88no—
1676C2×C4—88no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—164no—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4114yes—
1684C2×C4C22×#4114yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4#58512yes—
1692C2×C4#58512yes—
1693C2×C4#58512yes—
1694C22—22no—
1695C22—24no—
1696C22—22no—
1697C22—24no—
1698C22—22no—
1699C22—24no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—41no—
1709C22—42no—
1710C22—44no—
1711C22—44no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—41no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—44no—
1723C22—41no—
1724C22—44no—
1725C22—42no—
1726C22—41no—
1727C22—44no—
1728C22—42no—
1729C22C23×#4111yescharacteristic
1730C22C23×#4111yescharacteristic
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22H(7,𝔽2)11yescharacteristic
1736C4—22no—
1737C4—24no—
1738C4—22no—
1739C4—24no—
1740C4—22no—
1741C4—22no—
1742C4—24no—
1743C4—22no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—44no—
1749C4—41no—
1750C4—44no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—44no—
1762C4—42no—
1763C4—42no—
1764C4#350514yes—
1765C4#351714yes—
1766C2—42no—
1767C2—44no—
1768C2—82no—
1769C2—81no—
1770C2—84no—
1771C2#41211yescharacteristic
1772C2C2×#350511yescharacteristic
1773C2C2×#351711yescharacteristic
1774C2#6292411yescharacteristic
1775C2#6299411yescharacteristic
1776C2#6301011yescharacteristic
1777C2#6303111yescharacteristic
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. #59860C2semidirect
2. #59854C2semidirect
3. #59824C2semidirect
4. #59680C2semidirect
5. #59647C2semidirect
6. #59581C2semidirect
7. #59279C2semidirect
8. #59057C2semidirect
9. #59049C2semidirect
10. #44262C2semidirect
11. #44097C2semidirect
12. #43950C2semidirect
13. #40105C2semidirect
14. #40092C2semidirect
15. #39996C2semidirect
16. #39865C2semidirect
17. #39539C2semidirect
18. #39227C2semidirect
19. #36556C2semidirect
20. #36536C2semidirect
21. #36534C2semidirect
22. #36449C2semidirect
23. #36405C2semidirect
24. #36366C2semidirect
25. #36275C2semidirect
26. #36176C2semidirect
27. #36149C2semidirect
28. #35766C2semidirect
29. #34977C2semidirect
30. #34954C2semidirect
31. #34937C2semidirect
32. #34323C2semidirect
33. #34232C2semidirect
34. C4×#552C2semidirect
35. C4×#550C2semidirect
831. C2×#41#41semidirect
886. #125#41semidirect

Maximal subgroups

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

subgroupindex
#598602
#598542
#598242
#596802
#596472
#595812
#592792
#590572
#590492
#442622
#440972
#439502
#401052
#400922
#399962
#398652
#395392
#392272
#365562
#365362
#365342
#364492
#364052
#363662
#362752
#361762
#361492
#357662
#349772
#349542
#349372
#343232
#342322
C4×#5522
C4×#5502