Finite Group Databasebeta

← #7685844

Subgroups — #7685844

Order 512.

6121 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59548C212yesmaximal, complemented
3#59407C214yesmaximal, complemented
4#59305C211yesmaximal, characteristic, complemented
5#59234C211yesmaximal, characteristic, complemented
6#59095C212yesmaximal, complemented
7#59023C212yesmaximal, complemented
8#59021C212yesmaximal, complemented
9#45031C212yesmaximal, complemented
10#44991C212yesmaximal, complemented
11#44129C214yesmaximal, complemented
12#43277C214yesmaximal, complemented
13#40006C212yesmaximal, complemented
14#39934C212yesmaximal, complemented
15#38975C211yesmaximal, characteristic, complemented
16#38942C211yesmaximal, characteristic, complemented
17#38132C214yesmaximal, complemented
18#38056C212yesmaximal, complemented
19#36488C212yesmaximal, complemented
20#36438C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36182C211yesmaximal, characteristic, complemented
23#36153C212yesmaximal, complemented
24#36126C211yesmaximal, characteristic, complemented
25#36101C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35916C212yesmaximal, complemented
28#35865C212yesmaximal, complemented
29#34780C211yesmaximal, characteristic, complemented
30#34737C212yesmaximal, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34236C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#547C2212yescomplemented
40C2×#546C2214yes—
41C2×D42C2211yescharacteristic
42C2×#532C2212yes—
43C2×#525C2212yescomplemented
44C2×#525C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2212yes—
48C22×#117C2212yescomplemented
49#2859C2211yescharacteristic, complemented
50#2857C2212yescomplemented
51#2856C2211yescharacteristic, complemented
52#2856C2211yescharacteristic, complemented
53#2854C2212yescomplemented
54#2852C2214yescomplemented
55#2847C2212yescomplemented
56#2847C2212yescomplemented
57#2790C2214yescomplemented
58#2778C2214yescomplemented
59#2775C2214yescomplemented
60#2761C2214yescomplemented
61#2756C2214yescomplemented
62#2756C2214yescomplemented
63#2753C2214yescomplemented
64#2751C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2714C2214yescomplemented
68#2707C2214yescomplemented
69#2706C2214yescomplemented
70#2702C2214yescomplemented
71#2699C2214yescomplemented
72#2697C2214yescomplemented
73#2695C2214yescomplemented
74#2693C2214yescomplemented
75#2687C2214yescomplemented
76#2676C2214yes—
77#2670C2214yes—
78#2653C2214yescomplemented
79#2648C2214yescomplemented
80#2644C2212yescomplemented
81#2641C2212yescomplemented
82#2601C2214yescomplemented
83#2598C2214yescomplemented
84#2595C2214yescomplemented
85#2595C2214yescomplemented
86#2587C2214yescomplemented
87#2579C2214yescomplemented
88#2574C2214yescomplemented
89#2566C2212yescomplemented
90#2566C2212yescomplemented
91#2559C2214yescomplemented
92#2557C2214yescomplemented
93#2556C2214yescomplemented
94#2554C2214yescomplemented
95#2552C2211yescharacteristic, complemented
96#2551C2211yescharacteristic, complemented
97#2547C2212yescomplemented
98#2541C2212yes—
99#2541C2211yescharacteristic, complemented
100#2541C2211yescharacteristic, complemented
101#2538C2211yescharacteristic, complemented
102#2538C2211yescharacteristic, complemented
103#2537C2212yescomplemented
104#2535C2212yescomplemented
105#2534C2214yescomplemented
106#2525C2214yescomplemented
107#2524C2212yescomplemented
108#2515C2212yescomplemented
109#2514C2211yescharacteristic, complemented
110#2513C2212yescomplemented
111#2512C2212yescomplemented
112#2512C2212yescomplemented
113#2512C2212yescomplemented
114#2508C2211yescharacteristic, complemented
115#2507C2212yescomplemented
116#2507C2212yescomplemented
117#2504C2212yescomplemented
118#2503C2211yescharacteristic, complemented
119#2502C2212yescomplemented
120#2500C2212yescomplemented
121#2500C2212yescomplemented
122#2497C2212yescomplemented
123#2495C2212yescomplemented
124#2495C2211yescharacteristic, complemented
125#2493C2212yescomplemented
126#2492C2212yescomplemented
127#2491C2212yes—
128#2491C2212yescomplemented
129#2490C2212yescomplemented
130#2489C2211yescharacteristic, complemented
131#2486C2211yescharacteristic
132#2486C2212yescomplemented
133#2485C2212yescomplemented
134#2476C2214yescomplemented
135#2474C2214yescomplemented
136#2470C2214yescomplemented
137#2468C2214yescomplemented
138#2468C2214yescomplemented
139#2461C2214yescomplemented
140#2457C2214yescomplemented
141#2456C2214yes—
142#2456C2214yescomplemented
143#2456C2214yescomplemented
144#2456C2214yescomplemented
145#2454C2212yes—
146#2452C2212yes—
147#2452C2212yescomplemented
148#2450C2214yescomplemented
149#2445C2212yes—
150#2445C2212yes—
151#2445C2212yes—
152#2445C2212yescomplemented
153#2445C2212yescomplemented
154#2444C2214yescomplemented
155#2442C2211yescharacteristic, complemented
156#2442C2212yescomplemented
157#2441C2212yescomplemented
158#2439C2212yescomplemented
159#2433C2212yes—
160#2433C2212yes—
161#2430C2214yescomplemented
162#2428C2212yes—
163#2427C2214yescomplemented
164#2425C2214yes—
165#2425C2214yescomplemented
166#2425C2214yescomplemented
167#2424C2214yes—
168#2424C2214yes—
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2422C2212yescomplemented
172#2422C2212yescomplemented
173#2420C2212yescomplemented
174#2419C2212yes—
175#2419C2214yescomplemented
176#2418C2214yescomplemented
177#2418C2214yescomplemented
178#2417C2211yescharacteristic
179#2417C2214yescomplemented
180#2417C2212yescomplemented
181#2417C2212yescomplemented
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yescomplemented
185#2416C2212yescomplemented
186#2415C2212yescomplemented
187#2415C2212yescomplemented
188#2414C2212yescomplemented
189#2414C2212yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2413C2214yescomplemented
193#2412C2214yescomplemented
194#2412C2214yescomplemented
195#2412C2214yescomplemented
196#2411C2214yescomplemented
197#2410C2214yes—
198#2407C2212yescomplemented
199#2407C2212yescomplemented
200#2404C2214yes—
201#2402C2212yescomplemented
202#2401C2212yescomplemented
203#2392C2214yescomplemented
204#2392C2214yescomplemented
205#2370C2212yescomplemented
206#2369C2212yescomplemented
207#2369C2212yescomplemented
208#2366C2211yescharacteristic
209#2366C2212yes—
210#2366C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2211yescharacteristic, complemented
213#2366C2212yescomplemented
214#2364C2214yescomplemented
215#2363C2212yescomplemented
216#2361C2212yes—
217#2361C2211yescharacteristic
218#2361C2211yescharacteristic
219#2361C2212yes—
220#2361C2212yescomplemented
221#2361C2212yescomplemented
222#2361C2212yescomplemented
223#2361C2212yescomplemented
224#2361C2212yescomplemented
225#2358C2212yes—
226#2358C2212yes—
227#2357C2212yescomplemented
228#2357C2214yescomplemented
229#2355C2211yescharacteristic, complemented
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2214yescomplemented
235#2354C2212yescomplemented
236#2354C2211yescharacteristic, complemented
237#2354C2211yescharacteristic, complemented
238#2354C2212yescomplemented
239#2354C2212yescomplemented
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242#2349C2214yescomplemented
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic, complemented
246D4×C4⋊C4C2211yescharacteristic, complemented
247D4×C4⋊C4C2212yescomplemented
248#2347C2212yescomplemented
249#2345C2212yescomplemented
250#2342C2214yescomplemented
251#2339C2214yescomplemented
252#2339C2212yescomplemented
253#2339C2214yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2211yescharacteristic
257D4×C22⋊C4C2212yes—
258#2337C2214yescomplemented
259#2337C2214yescomplemented
260#2333C2214yescomplemented
261#2328C2212yes—
262#2319C2212yes—
263#2319C2212yescomplemented
264#2319C2212yescomplemented
265#2318C2214yescomplemented
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic, complemented
268C4×#125C2211yescharacteristic, complemented
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×#123C2212yes—
272C4×#121C2214yes—
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2214yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2214yescomplemented
279C4×#120C2212yes—
280C4×#120C2212yes—
281#2297C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284C2×#390C2212yes—
285C2×#388C2214yescomplemented
286#2285C2211yescharacteristic, complemented
287C2×#384C2211yescharacteristic, complemented
288#2283C2211yescharacteristic, complemented
289#2283C2212yescomplemented
290#2280C2212yescomplemented
291C2×#380C2212yescomplemented
292C2×#380C2212yescomplemented
293#2275C2212yescomplemented
294#2275C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2314yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305C24×C4C2312yes—
306#553—48no—
307#553—48no—
308#550—28no—
309#547—48no—
310#546—416no—
311D42—28no—
312#532—216no—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327#525—48no—
328#525—48no—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#120C2312yes—
364C2×#120C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4—28no—
371C2×C4×D4—28no—
372C2×C4×D4—48no—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×#117—48no—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2314yes—
440C22×C42C2312yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2314yes—
444C22×C42C2312yes—
445#401C2312yes—
446#400C2314yes—
447#400C2312yes—
448#400C2314yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#399C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2312yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
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#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2312yes—
711#383C2312yes—
712#383C2312yes—
713#383C2312yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#379C2312yes—
760#379C2312yes—
761#379C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817#376C2312yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C2×#95C2312yes—
822C43C2311yescharacteristic
823C25C2412yes—
824C25C2412yes—
825C2×#41—216no—
826C2×#41—28no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—28no—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—24no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4—44no—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4—28no—
864C23×C4—28no—
865C23×C4—28no—
866C23×C4—44no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C4⋊Q8—28no—
895C4⋊Q8—44no—
896#127—28no—
897#127—24no—
898#127—28no—
899#127—24no—
900#127—44no—
901#126—48no—
902#126—48no—
903#125—24no—
904#125—44no—
905#125—44no—
906#124—216no—
907#124—48no—
908#123—28no—
909#123—48no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922#121—216no—
923#121—216no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—24no—
928#121—28no—
929#121—28no—
930#121—216no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121#4118yescomplemented
942#120—28no—
943#120—28no—
944#120—48no—
945#120—48no—
946#120—48no—
947#120—48no—
948C4×Q8—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—216no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—48no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—48no—
987C4×D4—48no—
988C4×D4—48no—
989C4×D4#4118yescomplemented
990#117—28no—
991#117—28no—
992#117—48no—
993#117—48no—
994#117—44no—
995#117—44no—
996#117—44no—
997#117—44no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4—28no—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—48no—
1068C2×C22⋊C4—44no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—48no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C42—28no—
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42—48no—
1143C2×C42—44no—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2412yes—
1200#95C2412yes—
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233C24—24no—
1234C24—24no—
1235C24—24no—
1236C24—24no—
1237C24—24no—
1238C24—24no—
1239C24—24no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24C2512yes—
1248C24C2514yes—
1249C24C2512yes—
1250C24C2512yes—
1251C24C2511yescharacteristic
1252C24C2511yescharacteristic
1253#41—816no—
1254#41—832no—
1255C2×Q8—22no—
1256C2×Q8—28no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—28no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—416no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—432no—
1322C2×D4—416no—
1323C2×D4C2×#4114yes—
1324C2×D4C2×#4114yes—
1325C2×D4C2×#4118yes—
1326C2×D4H(5,𝔽2)14yes—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—432no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—816no—
1401C22×C4C2×#4114yes—
1402C22×C4C2×#4118yes—
1403C22×C4H(5,𝔽2)14yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4C2×#4114yes—
1488C4⋊C4C2×#4114yes—
1489C4⋊C4H(5,𝔽2)14yes—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—22no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4C2×#4118yes—
1556C22⋊C4C2×#4118yes—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—22no—
1561C42—22no—
1562C42—24no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—24no—
1567C42—22no—
1568C42—24no—
1569C42—22no—
1570C42—28no—
1571C42—28no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—24no—
1577C42—44no—
1578C42—44no—
1579C42—42no—
1580C42—42no—
1581C42—41no—
1582C42—44no—
1583C42—44no—
1584C42—44no—
1585C42C2×#4114yes—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—24no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—24no—
1621C23—22no—
1622C23—48no—
1623C23—48no—
1624C23—48no—
1625C23—48no—
1626C23—48no—
1627C23—48no—
1628C23—48no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23C22×#4114yes—
1637C23C22×#4114yes—
1638C23C22×#4112yes—
1639C23C2×H(5,𝔽2)12yes—
1640C23C2×H(5,𝔽2)12yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2611yescharacteristic
1643Q8—44no—
1644Q8—88no—
1645D4—28no—
1646D4—216no—
1647D4—28no—
1648D4—28no—
1649D4—416no—
1650D4—48no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—416no—
1655D4—48no—
1656D4—44no—
1657D4—48no—
1658D4—84no—
1659D4—84no—
1660D4—88no—
1661D4—88no—
1662D4—88no—
1663D4—88no—
1664D4—88no—
1665D4—164no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—28no—
1681C2×C4—28no—
1682C2×C4—216no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—48no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—44no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4—84no—
1761C2×C4—88no—
1762C2×C4—84no—
1763C2×C4—164no—
1764C2×C4—164no—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4C22×#4114yes—
1768C2×C4C22×#4114yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4112yes—
1772C2×C4C2×H(5,𝔽2)14yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4#58512yes—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—24no—
1786C22—24no—
1787C22—22no—
1788C22—24no—
1789C22—24no—
1790C22—22no—
1791C22—24no—
1792C22—24no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—42no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—44no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—44no—
1819C22—816no—
1820C22—816no—
1821C22#351914yes—
1822C22C23×#4111yescharacteristic
1823C22C23×#4111yescharacteristic
1824C22C22×H(5,𝔽2)11yescharacteristic
1825C22C22×H(5,𝔽2)11yescharacteristic
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C2×#58511yescharacteristic
1828C222−1+611yescharacteristic
1829C4—22no—
1830C4—24no—
1831C4—22no—
1832C4—24no—
1833C4—22no—
1834C4—24no—
1835C4—22no—
1836C4—42no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—44no—
1842C4—44no—
1843C4—41no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—44no—
1852C4—42no—
1853C4—41no—
1854C4—42no—
1855C4—41no—
1856C4#347514yes—
1857C4#351914yes—
1858C2—24no—
1859C2—44no—
1860C2—42no—
1861C2—44no—
1862C2—84no—
1863C2—82no—
1864C2C2×#347511yescharacteristic
1865C2C2×#351911yescharacteristic
1866C2C2×#351911yescharacteristic
1867C2#6296011yescharacteristic
1868C2#6298511yescharacteristic
1869C2#6298511yescharacteristic
1870C2#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. #59680C2semidirect
2. #59548C2semidirect
3. #59407C2semidirect
4. #59305C2semidirect
5. #59234C2semidirect
6. #59095C2semidirect
7. #59023C2semidirect
8. #59021C2semidirect
9. #45031C2semidirect
10. #44991C2semidirect
11. #44129C2semidirect
12. #43277C2semidirect
13. #40006C2semidirect
14. #39934C2semidirect
15. #38975C2semidirect
16. #38942C2semidirect
17. #38132C2semidirect
18. #38056C2semidirect
19. #36488C2semidirect
20. #36438C2semidirect
21. #36407C2semidirect
22. #36182C2semidirect
23. #36153C2semidirect
24. #36126C2semidirect
25. #36101C2semidirect
26. #36101C2semidirect
27. #35916C2semidirect
28. #35865C2semidirect
29. #34780C2semidirect
30. #34737C2semidirect
31. #34330C2semidirect
32. #34236C2semidirect
33. #34194C2semidirect
34. C4×D42C2semidirect
35. C2×#2354C2semidirect
37. C2×#553C22semidirect
39. C2×#547C22semidirect
43. C2×#525C22semidirect
44. C2×#525C22semidirect
48. C22×#117C22semidirect
49. #2859C22semidirect
50. #2857C22semidirect
51. #2856C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
54. #2852C22semidirect
55. #2847C22semidirect
56. #2847C22semidirect
57. #2790C22semidirect
58. #2778C22semidirect
59. #2775C22semidirect
60. #2761C22semidirect
61. #2756C22semidirect
62. #2756C22semidirect
63. #2753C22semidirect
64. #2751C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2714C22semidirect
68. #2707C22semidirect
69. #2706C22semidirect
70. #2702C22semidirect
71. #2699C22semidirect
72. #2697C22semidirect
73. #2695C22semidirect
74. #2693C22semidirect
75. #2687C22semidirect
78. #2653C22semidirect
79. #2648C22semidirect
80. #2644C22semidirect
81. #2641C22semidirect
82. #2601C22semidirect
83. #2598C22semidirect
84. #2595C22semidirect
85. #2595C22semidirect
86. #2587C22semidirect
87. #2579C22semidirect
88. #2574C22semidirect
89. #2566C22semidirect
90. #2566C22semidirect
91. #2559C22semidirect
92. #2557C22semidirect
93. #2556C22semidirect
94. #2554C22semidirect
95. #2552C22semidirect
96. #2551C22semidirect
97. #2547C22semidirect
99. #2541C22semidirect
100. #2541C22semidirect
101. #2538C22semidirect
102. #2538C22semidirect
103. #2537C22semidirect
104. #2535C22semidirect
105. #2534C22semidirect
106. #2525C22semidirect
107. #2524C22semidirect
108. #2515C22semidirect
109. #2514C22semidirect
110. #2513C22semidirect
111. #2512C22semidirect
112. #2512C22semidirect
113. #2512C22semidirect
114. #2508C22semidirect
115. #2507C22semidirect
116. #2507C22semidirect
117. #2504C22semidirect
118. #2503C22semidirect
119. #2502C22semidirect
120. #2500C22semidirect
121. #2500C22semidirect
122. #2497C22semidirect
123. #2495C22semidirect
124. #2495C22semidirect
125. #2493C22semidirect
126. #2492C22semidirect
128. #2491C22semidirect
129. #2490C22semidirect
130. #2489C22semidirect
132. #2486C22semidirect
133. #2485C22semidirect
134. #2476C22semidirect
135. #2474C22semidirect
136. #2470C22semidirect
137. #2468C22semidirect
138. #2468C22semidirect
139. #2461C22semidirect
140. #2457C22semidirect
142. #2456C22semidirect
143. #2456C22semidirect
144. #2456C22semidirect
147. #2452C22semidirect
148. #2450C22semidirect
152. #2445C22semidirect
153. #2445C22semidirect
154. #2444C22semidirect
155. #2442C22semidirect
156. #2442C22semidirect
157. #2441C22semidirect
158. #2439C22semidirect
161. #2430C22semidirect
163. #2427C22semidirect
165. #2425C22semidirect
166. #2425C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2422C22semidirect
172. #2422C22semidirect
173. #2420C22semidirect
175. #2419C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
179. #2417C22semidirect
180. #2417C22semidirect
181. #2417C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2415C22semidirect
187. #2415C22semidirect
188. #2414C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2413C22semidirect
193. #2412C22semidirect
194. #2412C22semidirect
195. #2412C22semidirect
196. #2411C22semidirect
198. #2407C22semidirect
199. #2407C22semidirect
201. #2402C22semidirect
202. #2401C22semidirect
203. #2392C22semidirect
204. #2392C22semidirect
205. #2370C22semidirect
206. #2369C22semidirect
207. #2369C22semidirect
210. #2366C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2364C22semidirect
215. #2363C22semidirect
220. #2361C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
223. #2361C22semidirect
224. #2361C22semidirect
227. #2357C22semidirect
228. #2357C22semidirect
229. #2355C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2354C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2347C22semidirect
249. #2345C22semidirect
250. #2342C22semidirect
251. #2339C22semidirect
252. #2339C22semidirect
253. #2339C22semidirect
258. #2337C22semidirect
259. #2337C22semidirect
260. #2333C22semidirect
263. #2319C22semidirect
264. #2319C22semidirect
265. #2318C22semidirect
267. C4×#127C22semidirect
268. C4×#125C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
281. #2297C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
285. C2×#388C22semidirect
286. #2285C22semidirect
287. C2×#384C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect
290. #2280C22semidirect
291. C2×#380C22semidirect
292. C2×#380C22semidirect
293. #2275C22semidirect
294. #2275C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
941. #121#41semidirect
989. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596802
#595482
#594072
#593052
#592342
#590952
#590232
#590212
#450312
#449912
#441292
#432772
#400062
#399342
#389752
#389422
#381322
#380562
#364882
#364382
#364072
#361822
#361532
#361262
#361012
#359162
#358652
#347802
#347372
#343302
#342362
#341942
C4×D422
C2×#23542