Finite Group Databasebeta

← #7681064

Subgroups — #7681064

Order 512.

5683 conjugacy classes of subgroups.

The subgroup lattice has 1847 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59944C212yesmaximal, complemented
2#59933C212yesmaximal, complemented
3#59562C212yesmaximal, complemented
4#59546C212yesmaximal, complemented
5#59473C214yesmaximal, complemented
6#59470C214yesmaximal, complemented
7#45406C212yesmaximal, complemented
8#45377C212yesmaximal, complemented
9#45282C212yesmaximal, complemented
10#45022C212yesmaximal, complemented
11#43647C214yesmaximal, complemented
12#43200C214yesmaximal, complemented
13#39563C212yesmaximal, complemented
14#39560C212yesmaximal, complemented
15#37973C212yesmaximal, complemented
16#37970C212yesmaximal, complemented
17#37856C212yesmaximal, complemented
18#37851C212yesmaximal, complemented
19#36203C212yesmaximal, complemented
20#36190C212yesmaximal, complemented
21#35544C211yesmaximal, characteristic, complemented
22#35530C211yesmaximal, characteristic, complemented
23#35519C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35280C211yesmaximal, characteristic, complemented
26#35255C211yesmaximal, characteristic, complemented
27#35251C211yesmaximal, characteristic
28#34813C211yesmaximal, characteristic, complemented
29C2×#2497C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34175C211yesmaximal, characteristic, complemented
34C22⋊C4×#41C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#533C2211yescharacteristic, complemented
40C2×#525C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic, complemented
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2857C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2212yescomplemented
49#2854C2212yescomplemented
50#2848C2212yes—
51#2847C2212yes—
52#2799C2214yescomplemented
53#2786C2214yescomplemented
54#2778C2214yescomplemented
55#2762C2214yescomplemented
56#2761C2214yescomplemented
57#2759C2214yescomplemented
58#2757C2214yescomplemented
59#2756C2214yescomplemented
60#2754C2214yescomplemented
61#2751C2214yescomplemented
62#2750C2214yescomplemented
63#2750C2214yescomplemented
64#2748C2214yes—
65#2744C2214yescomplemented
66#2743C2214yescomplemented
67#2741C2214yes—
68#2740C2214yescomplemented
69#2738C2214yescomplemented
70#2735C2214yes—
71#2735C2214yes—
72#2730C2214yescomplemented
73#2706C2214yescomplemented
74#2705C2214yescomplemented
75#2693C2214yescomplemented
76#2629C2212yescomplemented
77#2629C2212yescomplemented
78#2625C2212yescomplemented
79#2624C2212yescomplemented
80#2616C2212yes—
81#2615C2212yes—
82#2612C2214yescomplemented
83#2602C2214yescomplemented
84#2601C2214yescomplemented
85#2589C2214yescomplemented
86#2589C2214yescomplemented
87#2588C2214yescomplemented
88#2582C2212yescomplemented
89#2582C2212yescomplemented
90#2582C2212yescomplemented
91#2581C2212yescomplemented
92#2580C2212yescomplemented
93#2577C2214yes—
94#2576C2214yescomplemented
95#2574C2214yes—
96#2573C2214yescomplemented
97#2572C2214yescomplemented
98#2569C2214yescomplemented
99#2560C2214yescomplemented
100#2554C2214yescomplemented
101#2538C2212yescomplemented
102#2538C2212yescomplemented
103#2538C2212yescomplemented
104#2534C2214yes—
105#2534C2214yes—
106#2531C2214yescomplemented
107#2526C2214yescomplemented
108#2526C2214yescomplemented
109#2522C2214yes—
110#2522C2214yes—
111#2518C2214yes—
112#2515C2214yescomplemented
113#2505C2214yescomplemented
114#2502C2212yescomplemented
115#2501C2212yescomplemented
116#2500C2212yescomplemented
117#2499C2212yescomplemented
118#2498C2214yescomplemented
119#2497C2212yes—
120#2497C2212yes—
121#2497C2212yes—
122#2497C2212yes—
123#2497C2212yes—
124#2497C2212yes—
125#2497C2212yescomplemented
126#2497C2212yescomplemented
127#2497C2212yescomplemented
128#2497C2212yescomplemented
129#2496C2212yescomplemented
130#2496C2212yescomplemented
131#2495C2212yes—
132#2495C2212yescomplemented
133#2494C2212yes—
134#2494C2212yescomplemented
135#2493C2214yescomplemented
136#2492C2211yescharacteristic
137#2492C2211yescharacteristic, complemented
138#2491C2211yescharacteristic
139#2491C2211yescharacteristic, complemented
140#2490C2211yescharacteristic
141#2490C2211yescharacteristic, complemented
142#2489C2211yescharacteristic
143#2489C2211yescharacteristic, complemented
144#2488C2212yescomplemented
145#2488C2214yescomplemented
146#2488C2212yescomplemented
147#2487C2212yes—
148#2486C2212yescomplemented
149#2485C2212yes—
150#2485C2212yescomplemented
151#2480C2214yes—
152#2477C2214yescomplemented
153#2472C2212yes—
154#2472C2214yes—
155#2472C2212yes—
156#2471C2214yescomplemented
157#2471C2214yescomplemented
158#2463C2214yescomplemented
159#2461C2214yescomplemented
160#2450C2214yescomplemented
161#2449C2214yescomplemented
162#2444C2214yescomplemented
163#2443C2214yescomplemented
164#2443C2214yescomplemented
165#2443C2214yescomplemented
166#2442C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yescomplemented
170#2438C2214yescomplemented
171#2437C2214yes—
172#2430C2214yes—
173#2423C2212yes—
174#2423C2212yescomplemented
175#2423C2212yescomplemented
176#2423C2212yescomplemented
177#2422C2212yescomplemented
178#2422C2212yescomplemented
179#2422C2212yescomplemented
180#2422C2212yescomplemented
181#2421C2212yescomplemented
182#2421C2212yescomplemented
183#2420C2212yes—
184#2420C2212yescomplemented
185#2419C2214yescomplemented
186#2419C2214yescomplemented
187#2418C2214yes—
188#2417C2214yescomplemented
189#2417C2214yescomplemented
190#2411C2214yes—
191#2410C2214yes—
192#2409C2212yes—
193#2408C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2398C2212yes—
197#2398C2212yescomplemented
198C2×#400C2212yescomplemented
199C2×#396C2212yes—
200#2372C2214yes—
201#2368C2214yescomplemented
202#2364C2214yescomplemented
203#2363C2212yescomplemented
204#2363C2212yescomplemented
205#2363C2212yescomplemented
206#2362C2212yescomplemented
207#2362C2212yescomplemented
208#2362C2212yescomplemented
209#2361C2212yescomplemented
210#2361C2212yescomplemented
211#2361C2214yescomplemented
212#2361C2212yescomplemented
213#2360C2212yescomplemented
214#2360C2212yescomplemented
215#2360C2212yescomplemented
216#2353C2214yescomplemented
217#2353C2214yescomplemented
218#2352C2214yescomplemented
219#2347C2212yescomplemented
220#2346C2212yescomplemented
221#2345C2212yescomplemented
222#2344C2212yescomplemented
223#2342C2214yes—
224#2341C2211yescharacteristic
225#2341C2211yescharacteristic
226#2341C2212yes—
227Q8×C22⋊C4C2211yescharacteristic
228Q8×C22⋊C4C2212yes—
229Q8×C22⋊C4C2211yescharacteristic
230#2339C2212yes—
231#2339C2212yes—
232#2339C2211yescharacteristic
233#2339C2212yes—
234#2339C2211yescharacteristic
235#2339C2214yes—
236D4×C22⋊C4C2211yescharacteristic
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2211yescharacteristic
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2214yes—
242#2325C2214yescomplemented
243#2324C2212yescomplemented
244#2323C2212yescomplemented
245#2320C2212yescomplemented
246#2320C2212yescomplemented
247#2319C2212yescomplemented
248#2319C2212yescomplemented
249#2318C2214yescomplemented
250#2317C2211yescharacteristic, complemented
251#2317C2211yescharacteristic, complemented
252#2317C2211yescharacteristic, complemented
253#2316C2211yescharacteristic, complemented
254#2316C2211yescharacteristic, complemented
255#2314C2212yescomplemented
256#2314C2212yescomplemented
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2212yes—
260#2311C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic, complemented
264C4×#124C2212yes—
265C4×#124C2212yescomplemented
266C4×C22⋊Q8C2212yescomplemented
267C4×#121C2214yescomplemented
268C4×#121C2212yescomplemented
269#2297C2212yes—
270#2297C2212yes—
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic, complemented
274#2297C2211yescharacteristic, complemented
275#2295C2212yescomplemented
276#2295C2212yescomplemented
277#2293C2212yescomplemented
278#2293C2212yescomplemented
279C2×#389C2211yescharacteristic, complemented
280C2×#389C2211yescharacteristic, complemented
281#2290C2214yescomplemented
282C2×#388C2212yes—
283C2×#387C2212yescomplemented
284#2285C2212yescomplemented
285C2×#384C2211yescharacteristic, complemented
286#2283C2212yescomplemented
287#2280C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2211yescharacteristic
291C2×#380C2212yes—
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic, complemented
296C2×C4×C4⋊C4C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—28no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C24×C4C2311yescharacteristic
313C24×C4C2312yes—
314#537—28no—
315#537—28no—
316#533—44no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—44no—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#120C2312yes—
350C2×#120C2314yes—
351#520—28no—
352#520—44no—
353#520—44no—
354C4×#41—28no—
355C4×#41—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2312yes—
490#393C2312yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2312yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
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#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#379C2314yes—
752#379C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2314yes—
756#379C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—28no—
835C2×#41—28no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—42no—
842C2×#41—42no—
843C2×#41—464no—
844C2×#41#4118yes—
845C2×#41#4118yes—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—42no—
849C22×Q8C2411yescharacteristic
850C22×Q8C2412yes—
851C22×Q8C2411yescharacteristic
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×D4—28no—
856C22×D4—28no—
857C22×D4—24no—
858C22×D4—24no—
859C22×D4—42no—
860C22×D4—44no—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C23×C4—28no—
875C23×C4—28no—
876C23×C4—24no—
877C23×C4—24no—
878C23×C4—24no—
879C23×C4—44no—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C4⋊Q8—42no—
908C4⋊Q8—42no—
909#126—84no—
910#125—42no—
911#125—42no—
912#124—28no—
913#124—44no—
914#123—44no—
915#123—84no—
916#123—84no—
917#123—84no—
918#123—84no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—84no—
929C22⋊Q8—84no—
930#121—28no—
931#121—28no—
932#121—216no—
933#121—216no—
934#121—28no—
935#121—28no—
936#121—42no—
937#121—42no—
938#120—44no—
939#120—84no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—28no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—216no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—84no—
967#117—28no—
968#117—24no—
969#117—28no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—84no—
978#117—84no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4—82no—
989C2×C4⋊C4—82no—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C22⋊C4—24no—
1044C2×C22⋊C4—28no—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4—42no—
1047C2×C22⋊C4—84no—
1048C2×C22⋊C4—82no—
1049C2×C22⋊C4—82no—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C42—28no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42—82no—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2414yes—
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—22no—
1218C24—24no—
1219C24—24no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—24no—
1224C24—41no—
1225C24—42no—
1226C24—41no—
1227C24—41no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2511yescharacteristic
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237#41—232no—
1238#41—232no—
1239#41—432no—
1240#41—432no—
1241#41—416no—
1242#41—416no—
1243#41—416no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8—42no—
1260C2×Q8—416no—
1261C2×Q8C2×#4114yes—
1262C2×Q8C2×#4114yes—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—432no—
1299C2×D4—416no—
1300C2×D4C2×#4118yes—
1301C2×D4C2×#4118yes—
1302C2×D4C2×#4114yes—
1303C2×D4C2×#4114yes—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—432no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—416no—
1382C22×C4C2×#4118yes—
1383C22×C4C2×#4118yes—
1384C22×C4C2×#4114yes—
1385C22×C4C2×#4114yes—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2514yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—28no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—22no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—24no—
1494C22⋊C4—41no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C42−1+414yes—
1535C42—22no—
1536C42—22no—
1537C42—24no—
1538C42—24no—
1539C42—22no—
1540C42—24no—
1541C42—22no—
1542C42—28no—
1543C42—24no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—44no—
1562C42—42no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—48no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—48no—
1604C23—48no—
1605C23—44no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23C22×#4114yes—
1614C23C22×#4114yes—
1615C23C22×#4112yes—
1616C23C22×#4112yes—
1617C23C2×H(5,𝔽2)12yes—
1618C23C2×2−1+412yes—
1619C23C2611yescharacteristic
1620Q8—28no—
1621Q8—28no—
1622Q8—48no—
1623Q8—44no—
1624Q8—84no—
1625Q8—84no—
1626D4—216no—
1627D4—216no—
1628D4—28no—
1629D4—28no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—44no—
1635D4—88no—
1636D4—88no—
1637D4—84no—
1638D4—84no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—216no—
1650C2×C4—216no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—48no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—82no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—164no—
1740C2×C4—164no—
1741C2×C4#551116yes—
1742C2×C4C22×#4114yes—
1743C2×C4C22×#4114yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×2−1+412yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4#58512yes—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—22no—
1763C22—24no—
1764C22—24no—
1765C22—22no—
1766C22—24no—
1767C22—24no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—88no—
1795C22—816no—
1796C22C2×#55114yes—
1797C22C23×#4111yescharacteristic
1798C22C23×#4111yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×2−1+411yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C22H(7,𝔽2)11yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—24no—
1808C4—24no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—44no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—44no—
1819C4—41no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—44no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4C2×#55114yes—
1832C4C2×#55114yes—
1833C2—24no—
1834C2—44no—
1835C2—44no—
1836C2—42no—
1837C2—82no—
1838C2—81no—
1839C2C22×#55111yescharacteristic
1840C2#6280511yescharacteristic
1841C2#6285811yescharacteristic
1842C2#6294411yescharacteristic
1843C2#6295711yescharacteristic
1844C2#6299411yescharacteristic
1845C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35251C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59944C2semidirect
2. #59933C2semidirect
3. #59562C2semidirect
4. #59546C2semidirect
5. #59473C2semidirect
6. #59470C2semidirect
7. #45406C2semidirect
8. #45377C2semidirect
9. #45282C2semidirect
10. #45022C2semidirect
11. #43647C2semidirect
12. #43200C2semidirect
13. #39563C2semidirect
14. #39560C2semidirect
15. #37973C2semidirect
16. #37970C2semidirect
17. #37856C2semidirect
18. #37851C2semidirect
19. #36203C2semidirect
20. #36190C2semidirect
21. #35544C2semidirect
22. #35530C2semidirect
23. #35519C2semidirect
24. #35516C2semidirect
25. #35280C2semidirect
26. #35255C2semidirect
28. #34813C2semidirect
29. C2×#2497C2semidirect
30. #34274C2semidirect
31. #34267C2semidirect
32. #34253C2semidirect
33. #34175C2semidirect
34. C22⋊C4×#41C2semidirect
35. #34060C2semidirect
39. C2×#533C22semidirect
43. C2×#520C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2854C22semidirect
52. #2799C22semidirect
53. #2786C22semidirect
54. #2778C22semidirect
55. #2762C22semidirect
56. #2761C22semidirect
57. #2759C22semidirect
58. #2757C22semidirect
59. #2756C22semidirect
60. #2754C22semidirect
61. #2751C22semidirect
62. #2750C22semidirect
63. #2750C22semidirect
65. #2744C22semidirect
66. #2743C22semidirect
68. #2740C22semidirect
69. #2738C22semidirect
72. #2730C22semidirect
73. #2706C22semidirect
74. #2705C22semidirect
75. #2693C22semidirect
76. #2629C22semidirect
77. #2629C22semidirect
78. #2625C22semidirect
79. #2624C22semidirect
82. #2612C22semidirect
83. #2602C22semidirect
84. #2601C22semidirect
85. #2589C22semidirect
86. #2589C22semidirect
87. #2588C22semidirect
88. #2582C22semidirect
89. #2582C22semidirect
90. #2582C22semidirect
91. #2581C22semidirect
92. #2580C22semidirect
94. #2576C22semidirect
96. #2573C22semidirect
97. #2572C22semidirect
98. #2569C22semidirect
99. #2560C22semidirect
100. #2554C22semidirect
101. #2538C22semidirect
102. #2538C22semidirect
103. #2538C22semidirect
106. #2531C22semidirect
107. #2526C22semidirect
108. #2526C22semidirect
112. #2515C22semidirect
113. #2505C22semidirect
114. #2502C22semidirect
115. #2501C22semidirect
116. #2500C22semidirect
117. #2499C22semidirect
118. #2498C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2497C22semidirect
128. #2497C22semidirect
129. #2496C22semidirect
130. #2496C22semidirect
132. #2495C22semidirect
134. #2494C22semidirect
135. #2493C22semidirect
137. #2492C22semidirect
139. #2491C22semidirect
141. #2490C22semidirect
143. #2489C22semidirect
144. #2488C22semidirect
145. #2488C22semidirect
146. #2488C22semidirect
148. #2486C22semidirect
150. #2485C22semidirect
152. #2477C22semidirect
156. #2471C22semidirect
157. #2471C22semidirect
158. #2463C22semidirect
159. #2461C22semidirect
160. #2450C22semidirect
161. #2449C22semidirect
162. #2444C22semidirect
163. #2443C22semidirect
164. #2443C22semidirect
165. #2443C22semidirect
166. #2442C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
169. #2439C22semidirect
170. #2438C22semidirect
174. #2423C22semidirect
175. #2423C22semidirect
176. #2423C22semidirect
177. #2422C22semidirect
178. #2422C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
181. #2421C22semidirect
182. #2421C22semidirect
184. #2420C22semidirect
185. #2419C22semidirect
186. #2419C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
197. #2398C22semidirect
198. C2×#400C22semidirect
201. #2368C22semidirect
202. #2364C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2362C22semidirect
207. #2362C22semidirect
208. #2362C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2361C22semidirect
213. #2360C22semidirect
214. #2360C22semidirect
215. #2360C22semidirect
216. #2353C22semidirect
217. #2353C22semidirect
218. #2352C22semidirect
219. #2347C22semidirect
220. #2346C22semidirect
221. #2345C22semidirect
222. #2344C22semidirect
242. #2325C22semidirect
243. #2324C22semidirect
244. #2323C22semidirect
245. #2320C22semidirect
246. #2320C22semidirect
247. #2319C22semidirect
248. #2319C22semidirect
249. #2318C22semidirect
250. #2317C22semidirect
251. #2317C22semidirect
252. #2317C22semidirect
253. #2316C22semidirect
254. #2316C22semidirect
255. #2314C22semidirect
256. #2314C22semidirect
263. #2311C22semidirect
265. C4×#124C22semidirect
266. C4×C22⋊Q8C22semidirect
267. C4×#121C22semidirect
268. C4×#121C22semidirect
273. #2297C22semidirect
274. #2297C22semidirect
275. #2295C22semidirect
276. #2295C22semidirect
277. #2293C22semidirect
278. #2293C22semidirect
279. C2×#389C22semidirect
280. C2×#389C22semidirect
281. #2290C22semidirect
283. C2×#387C22semidirect
284. #2285C22semidirect
285. C2×#384C22semidirect
286. #2283C22semidirect
294. #2274C22semidirect
295. C4×#117C22semidirect
296. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#599442
#599332
#595622
#595462
#594732
#594702
#454062
#453772
#452822
#450222
#436472
#432002
#395632
#395602
#379732
#379702
#378562
#378512
#362032
#361902
#355442
#355302
#355192
#355162
#352802
#352552
#352512
#348132
C2×#24972
#342742
#342672
#342532
#341752
C22⋊C4×#412
#340602