Finite Group Databasebeta

← #7689510

Subgroups — #7689510

Order 512.

5520 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59698C212yesmaximal, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59500C212yesmaximal, complemented
5#59321C211yesmaximal, characteristic, complemented
6#59279C212yesmaximal, complemented
7#59218C211yesmaximal, characteristic, complemented
8#59172C214yesmaximal, complemented
9#45398C212yesmaximal, complemented
10#45258C212yesmaximal, complemented
11#44397C214yesmaximal, complemented
12#44347C214yesmaximal, complemented
13#40153C212yesmaximal, complemented
14#40140C212yesmaximal, complemented
15#39341C211yesmaximal, characteristic, complemented
16#38965C211yesmaximal, characteristic, complemented
17#38859C214yesmaximal, complemented
18#37972C212yesmaximal, complemented
19#36495C212yesmaximal, complemented
20#36472C211yesmaximal, characteristic, complemented
21#36410C211yesmaximal, characteristic, complemented
22#36371C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36299C211yesmaximal, characteristic, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36118C212yesmaximal, complemented
27#35763C212yesmaximal, complemented
28#35752C212yesmaximal, complemented
29#34934C212yesmaximal, complemented
30#34715C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34274C212yesmaximal, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#529C2214yes—
43C2×#520C2212yes—
44C2×#520C2212yes—
45C2×C4×#41C2211yescharacteristic
46#2863C2212yes—
47#2861C2212yes—
48#2860C2212yes—
49#2859C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2853C2214yes—
54#2803C2214yes—
55#2803C2214yes—
56#2791C2214yes—
57#2783C2214yes—
58#2768C2214yes—
59#2764C2214yes—
60#2761C2214yes—
61#2757C2214yes—
62#2756C2214yes—
63#2756C2214yes—
64#2752C2214yes—
65#2749C2214yes—
66#2749C2214yes—
67#2714C2214yes—
68#2704C2214yes—
69#2703C2214yes—
70#2702C2214yes—
71#2691C2214yes—
72#2676C2214yes—
73#2676C2214yes—
74#2675C2214yes—
75#2635C2214yes—
76#2630C2214yes—
77#2629C2212yes—
78#2615C2212yes—
79#2603C2214yes—
80#2603C2214yes—
81#2601C2214yes—
82#2600C2214yes—
83#2592C2212yes—
84#2584C2212yes—
85#2582C2211yescharacteristic
86#2579C2214yes—
87#2578C2214yes—
88#2577C2214yes—
89#2566C2212yes—
90#2565C2212yes—
91#2559C2214yes—
92#2558C2214yes—
93#2555C2214yes—
94#2554C2214yes—
95#2554C2214yes—
96#2552C2211yescharacteristic
97#2552C2211yescharacteristic
98#2552C2212yes—
99#2548C2211yescharacteristic
100#2548C2212yes—
101#2544C2212yes—
102#2541C2212yes—
103#2541C2211yescharacteristic
104#2538C2212yes—
105#2538C2211yescharacteristic
106#2538C2212yes—
107#2532C2214yes—
108#2531C2214yes—
109#2531C2214yes—
110#2525C2214yes—
111#2518C2214yes—
112#2516C2214yes—
113#2515C2214yes—
114#2513C2212yes—
115#2512C2212yes—
116#2512C2212yes—
117#2512C2212yes—
118#2511C2212yes—
119#2509C2212yes—
120#2507C2212yes—
121#2506C2212yes—
122#2504C2212yes—
123#2502C2212yes—
124#2500C2212yes—
125#2500C2212yes—
126#2500C2212yes—
127#2497C2212yes—
128#2496C2212yes—
129#2495C2212yes—
130#2491C2212yes—
131#2490C2214yes—
132#2490C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2485C2212yes—
136#2478C2214yes—
137#2476C2214yes—
138#2476C2214yes—
139#2476C2212yes—
140#2476C2214yes—
141#2475C2214yes—
142#2475C2214yes—
143#2474C2214yes—
144#2474C2212yes—
145#2473C2214yes—
146#2469C2214yes—
147#2469C2214yes—
148#2468C2214yes—
149#2467C2214yes—
150#2466C2214yes—
151#2465C2214yes—
152#2464C2214yes—
153#2464C2214yes—
154#2459C2214yes—
155#2459C2212yes—
156#2458C2214yes—
157#2457C2214yes—
158#2456C2212yes—
159#2456C2214yes—
160#2456C2214yes—
161#2454C2212yes—
162#2452C2212yes—
163#2451C2211yescharacteristic
164#2450C2214yes—
165#2447C2212yes—
166#2445C2212yes—
167#2445C2211yescharacteristic
168#2444C2214yes—
169#2442C2212yes—
170#2441C2212yes—
171#2440C2212yes—
172#2439C2211yescharacteristic
173#2431C2212yes—
174#2431C2211yescharacteristic
175#2428C2212yes—
176#2428C2212yes—
177#2428C2212yes—
178#2427C2212yes—
179#2426C2211yescharacteristic
180#2426C2214yes—
181#2422C2212yes—
182#2422C2212yes—
183#2422C2212yes—
184#2421C2212yes—
185#2420C2212yes—
186#2420C2211yescharacteristic
187#2416C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2414C2214yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2211yescharacteristic
194#2413C2214yes—
195#2407C2212yes—
196#2407C2212yes—
197#2407C2211yescharacteristic
198#2392C2214yes—
199#2392C2212yes—
200#2392C2214yes—
201#2388C2212yes—
202#2373C2214yes—
203#2373C2212yes—
204#2373C2212yes—
205#2370C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2366C2212yes—
210#2365C2211yescharacteristic
211#2363C2212yes—
212#2363C2214yes—
213#2363C2212yes—
214#2363C2212yes—
215#2362C2214yes—
216#2362C2212yes—
217#2362C2211yescharacteristic
218#2362C2211yescharacteristic
219#2361C2212yes—
220#2361C2214yes—
221#2361C2212yes—
222#2361C2214yes—
223#2361C2214yes—
224#2361C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2361C2212yes—
228#2360C2214yes—
229#2360C2212yes—
230#2360C2212yes—
231#2357C2212yes—
232#2356C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2354C2212yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2211yescharacteristic
241#2352C2212yes—
242#2352C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2347C2211yescharacteristic
251#2347C2211yescharacteristic
252#2345C2212yes—
253#2344C2212yes—
254#2343C2214yes—
255#2341C2212yes—
256#2339C2212yes—
257#2326C2214yes—
258#2325C2214yes—
259#2325C2214yes—
260#2324C2214yes—
261#2324C2212yes—
262#2316C2212yes—
263#2311C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#127C2212yes—
269C4×#127C2212yes—
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×#123C2212yes—
278C4×#121C2214yes—
279C4×#121C2211yescharacteristic
280C4×#121C2214yes—
281#2297C2212yes—
282#2297C2212yes—
283#2295C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2290C2214yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#556—28no—
303#553—48no—
304#553—48no—
305#550—28no—
306#537—216no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—416no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359#520—48no—
360#520—48no—
361C4×#41—28no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2314yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#395C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2312yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#383C2312yes—
716#383C2312yes—
717#383C2314yes—
718#383C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
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⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812#376C2312yes—
813#376C2312yes—
814#376C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C2×#41—28no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—42no—
828C2×#41—42no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870#127—24no—
871#127—28no—
872#127—24no—
873#127—44no—
874#126—28no—
875#126—216no—
876#126—28no—
877#126—48no—
878#126—48no—
879#125—44no—
880#125—44no—
881#125—44no—
882#125—48no—
883#124—28no—
884#124—28no—
885#124—42no—
886#124—44no—
887#124—48no—
888#123—28no—
889#123—48no—
890#123—48no—
891#123—48no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—216no—
895C22⋊Q8—48no—
896C22⋊Q8—42no—
897C22⋊Q8#4118yescomplemented
898#121—24no—
899#121—28no—
900#121—28no—
901#121—24no—
902#121—28no—
903#121—216no—
904#121—28no—
905#121—216no—
906#121—216no—
907#121—216no—
908#121—48no—
909#121—44no—
910#121—44no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—42no—
916#121—44no—
917#121—44no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—28no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—44no—
926C4×Q8—48no—
927C4×Q8—44no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—42no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4#4118yes—
957#117—24no—
958#117—24no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—28no—
963#117—44no—
964#117—44no—
965#117—48no—
966#117—48no—
967#117—48no—
968#117—44no—
969#117—44no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—48no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—28no—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—48no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2511yescharacteristic
1206C24C2512yes—
1207C24C2514yes—
1208C24C2511yescharacteristic
1209C24C2512yes—
1210#41—432no—
1211#41—432no—
1212#41—416no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8C2×#4114yes—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—41no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4C2×#4114yes—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4C2×#4118yes—
1329C22×C4C2×#4114yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—41no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4C2×#4114yes—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4C2×#4118yes—
1420C4⋊C4H(5,𝔽2)14yes—
1421C4⋊C4H(5,𝔽2)14yes—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—22no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4C2×#4118yes—
1484C22⋊C4C2×#4118yes—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—28no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—24no—
1508C42—22no—
1509C42—24no—
1510C42—22no—
1511C42—22no—
1512C42—24no—
1513C42—24no—
1514C42—44no—
1515C42—44no—
1516C42—42no—
1517C42—42no—
1518C42—41no—
1519C42—42no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42C2×#4114yes—
1524C23—21no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—22no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—22no—
1544C23—21no—
1545C23—21no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—24no—
1550C23—24no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—24no—
1556C23—22no—
1557C23C22×#4112yes—
1558C23C22×#4114yes—
1559C23C2611yescharacteristic
1560Q8—28no—
1561Q8—48no—
1562Q8—48no—
1563Q8—44no—
1564D4—28no—
1565D4—48no—
1566D4—44no—
1567D4—48no—
1568D4—48no—
1569D4—416no—
1570D4—48no—
1571D4—48no—
1572D4—48no—
1573D4—44no—
1574D4—48no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—84no—
1580D4—88no—
1581D4—164no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—216no—
1601C2×C4—28no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—416no—
1662C2×C4—48no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—88no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—164no—
1673C2×C4—164no—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4114yes—
1677C2×C4C22×#4114yes—
1678C2×C4C22×#4114yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)14yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C22—24no—
1690C22—22no—
1691C22—24no—
1692C22—22no—
1693C22—24no—
1694C22—22no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—42no—
1705C22—44no—
1706C22—41no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—44no—
1715C22—41no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—41no—
1720C22—44no—
1721C22—44no—
1722C22—42no—
1723C22—41no—
1724C22C23×#4111yescharacteristic
1725C22C23×#4111yescharacteristic
1726C22C22×H(5,𝔽2)11yescharacteristic
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22C2×#58511yescharacteristic
1730C222−1+611yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—24no—
1735C4—24no—
1736C4—22no—
1737C4—24no—
1738C4—22no—
1739C4—24no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—44no—
1746C4—44no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—42no—
1751C4—44no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4#348114yes—
1760C4#349314yes—
1761C2—44no—
1762C2—42no—
1763C2—81no—
1764C2—82no—
1765C2—84no—
1766C2C2×#348111yescharacteristic
1767C2C2×#349311yescharacteristic
1768C2#6280011yescharacteristic
1769C2#6292211yescharacteristic
1770C2#6298511yescharacteristic
1771C2#6300711yescharacteristic
1772C2#6301411yescharacteristic
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. #59750C2semidirect
2. #59698C2semidirect
3. #59640C2semidirect
4. #59500C2semidirect
5. #59321C2semidirect
6. #59279C2semidirect
7. #59218C2semidirect
8. #59172C2semidirect
9. #45398C2semidirect
10. #45258C2semidirect
11. #44397C2semidirect
12. #44347C2semidirect
13. #40153C2semidirect
14. #40140C2semidirect
15. #39341C2semidirect
16. #38965C2semidirect
17. #38859C2semidirect
18. #37972C2semidirect
19. #36495C2semidirect
20. #36472C2semidirect
21. #36410C2semidirect
22. #36371C2semidirect
23. #36302C2semidirect
24. #36299C2semidirect
25. #36182C2semidirect
26. #36118C2semidirect
27. #35763C2semidirect
28. #35752C2semidirect
29. #34934C2semidirect
30. #34715C2semidirect
31. #34313C2semidirect
32. #34274C2semidirect
33. #34207C2semidirect
34. C4×#556C2semidirect
35. #34127C2semidirect
897. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597502
#596982
#596402
#595002
#593212
#592792
#592182
#591722
#453982
#452582
#443972
#443472
#401532
#401402
#393412
#389652
#388592
#379722
#364952
#364722
#364102
#363712
#363022
#362992
#361822
#361182
#357632
#357522
#349342
#347152
#343132
#342742
#342072
C4×#5562
#341272