Finite Group Databasebeta

← #7979533

Subgroups — #7979533

Order 512.

5659 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59812C212yesmaximal, complemented
3#59277C212yesmaximal, complemented
4#59040C211yesmaximal, characteristic, complemented
5#59035C211yesmaximal, characteristic, complemented
6#49917C214yesmaximal, complemented
7#49595C214yesmaximal, complemented
8#45647C212yesmaximal, complemented
9#45516C212yesmaximal, complemented
10#45023C212yesmaximal, complemented
11#44980C212yesmaximal, complemented
12#44412C214yesmaximal, complemented
13#42620C212yesmaximal, complemented
14#42478C212yesmaximal, complemented
15#42072C214yesmaximal, complemented
16#40175C212yesmaximal, complemented
17#40103C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39771C211yesmaximal, characteristic, complemented
20#39511C212yesmaximal, complemented
21#39273C212yesmaximal, complemented
22#38910C211yesmaximal, characteristic, complemented
23#36596C211yesmaximal, characteristic, complemented
24#36404C211yesmaximal, characteristic, complemented
25#36360C212yesmaximal, complemented
26#36260C211yesmaximal, characteristic, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#35292C212yesmaximal, complemented
30#35241C211yesmaximal, characteristic, complemented
31#35176C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34478C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#533C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C2×#532C2212yescomplemented
47C2×#529C2211yescharacteristic
48C2×C4×#41C2212yescomplemented
49C2×C4×#41C2211yescharacteristic, complemented
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2856C2212yescomplemented
57#2855C2212yescomplemented
58#2855C2212yescomplemented
59#2854C2212yes—
60#2850C2212yes—
61#2829C2214yescomplemented
62#2816C2214yescomplemented
63#2808C2214yescomplemented
64#2808C2214yescomplemented
65#2800C2214yescomplemented
66#2800C2214yescomplemented
67#2796C2214yescomplemented
68#2786C2214yescomplemented
69#2773C2214yescomplemented
70#2752C2214yescomplemented
71#2751C2214yescomplemented
72#2751C2214yescomplemented
73#2740C2214yescomplemented
74#2740C2214yescomplemented
75#2740C2214yescomplemented
76#2727C2214yescomplemented
77#2714C2214yescomplemented
78#2711C2214yescomplemented
79#2708C2214yescomplemented
80#2707C2214yescomplemented
81#2706C2214yescomplemented
82#2706C2214yescomplemented
83#2699C2214yescomplemented
84#2699C2214yescomplemented
85#2694C2214yescomplemented
86#2694C2214yescomplemented
87#2685C2214yes—
88#2685C2214yescomplemented
89#2682C2214yescomplemented
90#2678C2214yes—
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2668C2214yes—
95#2668C2214yescomplemented
96#2667C2214yescomplemented
97#2667C2214yescomplemented
98#2664C2214yescomplemented
99#2640C2212yescomplemented
100#2630C2214yescomplemented
101#2626C2214yescomplemented
102#2624C2212yes—
103#2624C2214yescomplemented
104#2615C2214yescomplemented
105#2602C2214yescomplemented
106#2592C2212yes—
107#2592C2212yescomplemented
108#2592C2212yescomplemented
109#2580C2212yescomplemented
110#2580C2214yescomplemented
111#2568C2211yescharacteristic, complemented
112#2565C2212yescomplemented
113#2563C2212yescomplemented
114#2554C2214yescomplemented
115#2553C2214yescomplemented
116#2552C2211yescharacteristic, complemented
117#2548C2212yes—
118#2548C2211yescharacteristic
119#2547C2211yescharacteristic
120#2547C2211yescharacteristic, complemented
121#2546C2211yescharacteristic, complemented
122#2545C2212yes—
123#2545C2212yescomplemented
124#2544C2212yescomplemented
125#2543C2214yescomplemented
126#2543C2214yescomplemented
127#2542C2211yescharacteristic
128#2542C2211yescharacteristic
129#2541C2211yescharacteristic
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2540C2212yescomplemented
134#2540C2212yescomplemented
135#2539C2214yes—
136#2539C2214yes—
137#2538C2211yescharacteristic
138#2538C2212yescomplemented
139#2537C2212yes—
140#2535C2214yescomplemented
141#2534C2214yescomplemented
142#2522C2214yescomplemented
143#2522C2214yescomplemented
144#2519C2214yescomplemented
145#2517C2214yescomplemented
146#2513C2212yescomplemented
147#2513C2214yescomplemented
148#2512C2212yes—
149#2512C2212yescomplemented
150#2507C2212yescomplemented
151#2506C2212yescomplemented
152#2501C2212yes—
153#2498C2214yescomplemented
154#2498C2214yescomplemented
155#2490C2212yes—
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2480C2214yescomplemented
162#2480C2214yescomplemented
163#2479C2212yescomplemented
164#2479C2214yescomplemented
165#2476C2214yescomplemented
166#2471C2214yescomplemented
167#2471C2212yescomplemented
168#2471C2214yescomplemented
169#2471C2214yescomplemented
170#2470C2214yescomplemented
171#2467C2212yescomplemented
172#2458C2214yescomplemented
173#2457C2214yescomplemented
174#2457C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2212yescomplemented
177#2454C2212yes—
178#2454C2212yescomplemented
179#2454C2214yescomplemented
180#2454C2211yescharacteristic, complemented
181#2448C2211yescharacteristic
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2445C2212yescomplemented
187#2441C2211yescharacteristic, complemented
188#2435C2212yes—
189#2435C2212yes—
190#2433C2212yes—
191#2431C2211yescharacteristic
192#2429C2212yescomplemented
193#2428C2211yescharacteristic
194#2427C2212yes—
195#2427C2212yescomplemented
196#2426C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2423C2212yescomplemented
200#2423C2212yescomplemented
201#2423C2211yescharacteristic, complemented
202#2422C2212yes—
203#2420C2212yescomplemented
204#2418C2214yes—
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2211yescharacteristic
215#2414C2212yes—
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2414C2214yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2211yescharacteristic, complemented
228#2404C2214yescomplemented
229#2397C2212yescomplemented
230#2392C2214yescomplemented
231#2392C2212yescomplemented
232#2377C2214yescomplemented
233#2375C2214yescomplemented
234#2374C2214yescomplemented
235#2367C2212yescomplemented
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic, complemented
238#2365C2211yescharacteristic, complemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2361C2211yescharacteristic
244#2361C2211yescharacteristic
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2359C2212yescomplemented
248#2359C2212yescomplemented
249#2358C2214yescomplemented
250#2355C2212yescomplemented
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2352C2212yescomplemented
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2344C2211yescharacteristic, complemented
258#2344C2211yescharacteristic, complemented
259#2342C2214yescomplemented
260#2341C2212yes—
261#2341C2212yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2212yes—
264#2335C2214yescomplemented
265#2330C2212yescomplemented
266#2326C2212yescomplemented
267#2324C2214yescomplemented
268#2324C2214yescomplemented
269#2323C2212yescomplemented
270#2323C2212yescomplemented
271#2321C2214yescomplemented
272#2319C2212yes—
273#2312C2214yescomplemented
274#2309C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×#123C2212yescomplemented
280C4×#123C2212yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289#2297C2212yes—
290#2297C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292C2×#390C2212yes—
293#2290C2212yescomplemented
294#2285C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305#553—48no—
306#552—48no—
307#547—28no—
308#547—44no—
309#546—216no—
310#546—48no—
311#546—48no—
312D42—44no—
313#533—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C4×#41—48no—
387C4×#41—44no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2314yes—
441C22×C22⋊C4C2314yes—
442C22×C42C2312yes—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2312yes—
446C22×C42C2312yes—
447C22×C42C2312yes—
448#400C2314yes—
449#400C2314yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2312yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2314yes—
623#389C2314yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#382C2314yes—
739#382C2312yes—
740#382C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820#376C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C43C2311yescharacteristic
824C25C2414yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—42no—
832C2×#41—42no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4—28no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—44no—
893#127—24no—
894#127—42no—
895#127—44no—
896#126—44no—
897#126—48no—
898#126—48no—
899#125—28no—
900#125—42no—
901#125—44no—
902#125—48no—
903#124—28no—
904#124—42no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#123—216no—
911#123—28no—
912#123—28no—
913#123—48no—
914#123—48no—
915#123—44no—
916#123—48no—
917#123—48no—
918#123—48no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—42no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—24no—
931#121—24no—
932#121—216no—
933#121—24no—
934#121—28no—
935#121—28no—
936#121—44no—
937#121—48no—
938#121—44no—
939#121—42no—
940#121—42no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—44no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—48no—
953#120—216no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958C4×Q8—24no—
959C4×Q8—44no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—42no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—28no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—42no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4#4118yescomplemented
994#117—44no—
995#117—44no—
996#117—44no—
997#117—44no—
998#117—44no—
999#117—42no—
1000#117—44no—
1001#117—44no—
1002#117—48no—
1003#117—44no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—24no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C22⋊C4—216no—
1070C2×C22⋊C4—48no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C42—28no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—44no—
1149C2×C42—44no—
1150C2×C42—44no—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2414yes—
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234C24—28no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24C2512yes—
1242C24C2514yes—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2511yescharacteristic
1246C24C2511yescharacteristic
1247#41—416no—
1248#41—432no—
1249#41—816no—
1250#41—816no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—22no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—24no—
1260C2×Q8—22no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C2×D4C2×#4114yes—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
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—22no—
1362C22×C4—24no—
1363C22×C4—28no—
1364C22×C4—24no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4C2×#4118yes—
1390C22×C4H(5,𝔽2)14yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—41no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4C2×#4114yes—
1479C4⋊C4H(5,𝔽2)14yes—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—41no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4C2×#4118yes—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—22no—
1560C42—24no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—24no—
1565C42—24no—
1566C42—22no—
1567C42—24no—
1568C42—22no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C42—42no—
1573C42—42no—
1574C42—42no—
1575C42—41no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C42—44no—
1580C42—41no—
1581C42—44no—
1582C42C2×#4114yes—
1583C42H(5,𝔽2)14yes—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—24no—
1613C23—24no—
1614C23—24no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—22no—
1623C23—88no—
1624C23—88no—
1625C23—88no—
1626C23—88no—
1627C23—88no—
1628C23—164no—
1629C23—164no—
1630C23C22×#4114yes—
1631C23C2×H(5,𝔽2)12yes—
1632C23#58512yes—
1633C23C2611yescharacteristic
1634Q8—48no—
1635Q8—48no—
1636Q8—44no—
1637Q8—48no—
1638D4—28no—
1639D4—28no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—48no—
1644D4—44no—
1645D4—48no—
1646D4—44no—
1647D4—84no—
1648D4—88no—
1649D4—88no—
1650D4—84no—
1651D4—84no—
1652D4—88no—
1653D4—84no—
1654D4—84no—
1655D4—88no—
1656D4—88no—
1657D4—88no—
1658D4—84no—
1659D4—88no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—28no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—48no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—82no—
1751C2×C4—88no—
1752C2×C4—88no—
1753C2×C4—84no—
1754C2×C4—164no—
1755C2×C4C22×#4112yes—
1756C2×C4C22×#4112yes—
1757C2×C4C22×#4114yes—
1758C2×C4C22×#4112yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)14yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4#58512yes—
1767C22—24no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—24no—
1772C22—24no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—44no—
1808C22—42no—
1809C22—1616no—
1810C22C23×#4111yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C22×H(5,𝔽2)11yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C2×#58511yescharacteristic
1815C22C2×#58511yescharacteristic
1816C222−1+611yescharacteristic
1817C4—22no—
1818C4—24no—
1819C4—22no—
1820C4—24no—
1821C4—22no—
1822C4—22no—
1823C4—42no—
1824C4—44no—
1825C4—41no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4—44no—
1844C4#350814yes—
1845C4#354214yes—
1846C2—42no—
1847C2—42no—
1848C2—44no—
1849C2—82no—
1850C2—84no—
1851C2—82no—
1852C2C2×#354211yescharacteristic
1853C2#6277311yescharacteristic
1854C2C2×#350811yescharacteristic
1855C2#6291411yescharacteristic
1856C2#6295411yescharacteristic
1857C2#6300911yescharacteristic
1858C2#6301911yescharacteristic
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. #59863C2semidirect
2. #59812C2semidirect
3. #59277C2semidirect
4. #59040C2semidirect
5. #59035C2semidirect
6. #49917C2semidirect
7. #49595C2semidirect
8. #45647C2semidirect
9. #45516C2semidirect
10. #45023C2semidirect
11. #44980C2semidirect
12. #44412C2semidirect
13. #42620C2semidirect
14. #42478C2semidirect
15. #42072C2semidirect
16. #40175C2semidirect
17. #40103C2semidirect
18. #39888C2semidirect
19. #39771C2semidirect
20. #39511C2semidirect
21. #39273C2semidirect
22. #38910C2semidirect
23. #36596C2semidirect
24. #36404C2semidirect
25. #36360C2semidirect
26. #36260C2semidirect
27. #36186C2semidirect
28. #36150C2semidirect
29. #35292C2semidirect
30. #35241C2semidirect
31. #35176C2semidirect
32. #34937C2semidirect
33. #34727C2semidirect
34. #34478C2semidirect
35. C4×#547C2semidirect
36. C2×#553C22semidirect
37. C2×#552C22semidirect
44. C2×#533C22semidirect
46. C2×#532C22semidirect
48. C2×C4×#41C22semidirect
49. C2×C4×#41C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
56. #2856C22semidirect
57. #2855C22semidirect
58. #2855C22semidirect
61. #2829C22semidirect
62. #2816C22semidirect
63. #2808C22semidirect
64. #2808C22semidirect
65. #2800C22semidirect
66. #2800C22semidirect
67. #2796C22semidirect
68. #2786C22semidirect
69. #2773C22semidirect
70. #2752C22semidirect
71. #2751C22semidirect
72. #2751C22semidirect
73. #2740C22semidirect
74. #2740C22semidirect
75. #2740C22semidirect
76. #2727C22semidirect
77. #2714C22semidirect
78. #2711C22semidirect
79. #2708C22semidirect
80. #2707C22semidirect
81. #2706C22semidirect
82. #2706C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2694C22semidirect
86. #2694C22semidirect
88. #2685C22semidirect
89. #2682C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
95. #2668C22semidirect
96. #2667C22semidirect
97. #2667C22semidirect
98. #2664C22semidirect
99. #2640C22semidirect
100. #2630C22semidirect
101. #2626C22semidirect
103. #2624C22semidirect
104. #2615C22semidirect
105. #2602C22semidirect
107. #2592C22semidirect
108. #2592C22semidirect
109. #2580C22semidirect
110. #2580C22semidirect
111. #2568C22semidirect
112. #2565C22semidirect
113. #2563C22semidirect
114. #2554C22semidirect
115. #2553C22semidirect
116. #2552C22semidirect
120. #2547C22semidirect
121. #2546C22semidirect
123. #2545C22semidirect
124. #2544C22semidirect
125. #2543C22semidirect
126. #2543C22semidirect
133. #2540C22semidirect
134. #2540C22semidirect
138. #2538C22semidirect
140. #2535C22semidirect
141. #2534C22semidirect
142. #2522C22semidirect
143. #2522C22semidirect
144. #2519C22semidirect
145. #2517C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
149. #2512C22semidirect
150. #2507C22semidirect
151. #2506C22semidirect
153. #2498C22semidirect
154. #2498C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2480C22semidirect
162. #2480C22semidirect
163. #2479C22semidirect
164. #2479C22semidirect
165. #2476C22semidirect
166. #2471C22semidirect
167. #2471C22semidirect
168. #2471C22semidirect
169. #2471C22semidirect
170. #2470C22semidirect
171. #2467C22semidirect
172. #2458C22semidirect
173. #2457C22semidirect
174. #2457C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2445C22semidirect
187. #2441C22semidirect
192. #2429C22semidirect
195. #2427C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
203. #2420C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2404C22semidirect
229. #2397C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2377C22semidirect
233. #2375C22semidirect
234. #2374C22semidirect
235. #2367C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2359C22semidirect
248. #2359C22semidirect
249. #2358C22semidirect
250. #2355C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
255. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. #2344C22semidirect
258. #2344C22semidirect
259. #2342C22semidirect
261. #2341C22semidirect
262. #2339C22semidirect
264. #2335C22semidirect
265. #2330C22semidirect
266. #2326C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2321C22semidirect
273. #2312C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
296. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
993. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598632
#598122
#592772
#590402
#590352
#499172
#495952
#456472
#455162
#450232
#449802
#444122
#426202
#424782
#420722
#401752
#401032
#398882
#397712
#395112
#392732
#389102
#365962
#364042
#363602
#362602
#361862
#361502
#352922
#352412
#351762
#349372
#347272
#344782
C4×#5472