Finite Group Databasebeta

← #7688632

Subgroups — #7688632

Order 512.

5667 conjugacy classes of subgroups.

The subgroup lattice has 1817 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59652C211yesmaximal, characteristic, complemented
2#59645C212yesmaximal, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59414C212yesmaximal, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59277C212yesmaximal, complemented
7#59272C212yesmaximal, complemented
8#59103C212yesmaximal, complemented
9#59046C212yesmaximal, complemented
10#44128C214yesmaximal, complemented
11#43875C214yesmaximal, complemented
12#43584C214yesmaximal, complemented
13#40193C212yesmaximal, complemented
14#40053C212yesmaximal, complemented
15#40003C212yesmaximal, complemented
16#39953C212yesmaximal, complemented
17#39786C212yesmaximal, complemented
18#39212C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36583C211yesmaximal, characteristic, complemented
21#36562C211yesmaximal, characteristic, complemented
22#36415C211yesmaximal, characteristic, complemented
23#36412C211yesmaximal, characteristic, complemented
24#36289C211yesmaximal, characteristic, complemented
25#36260C211yesmaximal, characteristic, complemented
26#36211C212yesmaximal, complemented
27#36136C212yesmaximal, complemented
28#35863C214yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34320C212yesmaximal, complemented
33#34320C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#557C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×#546C2212yes—
46C2×D42C2211yescharacteristic
47C2×#529C2212yescomplemented
48C2×#529C2212yescomplemented
49#2862C2211yescharacteristic, complemented
50#2859C2212yescomplemented
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2212yescomplemented
54#2856C2212yes—
55#2856C2212yescomplemented
56#2850C2212yes—
57#2850C2212yescomplemented
58#2798C2214yescomplemented
59#2797C2214yescomplemented
60#2797C2214yescomplemented
61#2786C2214yescomplemented
62#2773C2214yescomplemented
63#2761C2214yescomplemented
64#2753C2214yescomplemented
65#2740C2214yescomplemented
66#2730C2214yescomplemented
67#2714C2214yescomplemented
68#2710C2214yescomplemented
69#2708C2214yescomplemented
70#2707C2214yescomplemented
71#2706C2214yescomplemented
72#2706C2214yescomplemented
73#2705C2214yescomplemented
74#2697C2214yescomplemented
75#2688C2214yescomplemented
76#2678C2214yes—
77#2678C2214yescomplemented
78#2670C2214yescomplemented
79#2661C2214yescomplemented
80#2649C2214yescomplemented
81#2648C2214yescomplemented
82#2597C2214yescomplemented
83#2595C2214yescomplemented
84#2592C2212yescomplemented
85#2592C2212yescomplemented
86#2580C2212yescomplemented
87#2574C2214yescomplemented
88#2567C2211yescharacteristic, complemented
89#2566C2212yes—
90#2565C2212yescomplemented
91#2563C2211yescharacteristic
92#2558C2214yescomplemented
93#2557C2214yescomplemented
94#2557C2214yescomplemented
95#2557C2214yescomplemented
96#2556C2214yescomplemented
97#2556C2214yescomplemented
98#2555C2214yescomplemented
99#2555C2214yescomplemented
100#2554C2214yescomplemented
101#2554C2214yescomplemented
102#2554C2214yescomplemented
103#2553C2214yescomplemented
104#2553C2214yescomplemented
105#2552C2211yescharacteristic, complemented
106#2548C2211yescharacteristic
107#2548C2212yescomplemented
108#2547C2212yescomplemented
109#2547C2211yescharacteristic, complemented
110#2542C2211yescharacteristic
111#2541C2211yescharacteristic
112#2540C2212yes—
113#2540C2212yes—
114#2540C2212yescomplemented
115#2539C2214yes—
116#2539C2214yes—
117#2539C2214yescomplemented
118#2538C2211yescharacteristic
119#2538C2211yescharacteristic, complemented
120#2537C2211yescharacteristic
121#2535C2212yes—
122#2535C2212yescomplemented
123#2535C2212yescomplemented
124#2522C2214yescomplemented
125#2517C2214yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2513C2214yescomplemented
129#2513C2214yescomplemented
130#2512C2212yescomplemented
131#2508C2212yescomplemented
132#2504C2212yes—
133#2501C2212yes—
134#2500C2212yescomplemented
135#2499C2212yescomplemented
136#2497C2212yescomplemented
137#2496C2212yescomplemented
138#2490C2212yes—
139#2490C2212yes—
140#2490C2212yescomplemented
141#2490C2214yescomplemented
142#2490C2212yescomplemented
143#2490C2212yescomplemented
144#2490C2214yescomplemented
145#2490C2212yescomplemented
146#2490C2212yescomplemented
147#2489C2212yescomplemented
148#2480C2214yescomplemented
149#2479C2214yescomplemented
150#2479C2214yescomplemented
151#2472C2214yes—
152#2472C2214yes—
153#2471C2214yescomplemented
154#2470C2214yescomplemented
155#2464C2214yescomplemented
156#2456C2214yescomplemented
157#2456C2214yescomplemented
158#2454C2212yes—
159#2448C2212yescomplemented
160#2448C2212yescomplemented
161#2447C2212yescomplemented
162#2447C2212yescomplemented
163#2445C2212yescomplemented
164#2442C2212yescomplemented
165#2441C2212yescomplemented
166#2435C2212yes—
167#2433C2212yes—
168#2433C2212yes—
169#2432C2212yes—
170#2431C2212yes—
171#2431C2212yescomplemented
172#2429C2212yescomplemented
173#2429C2212yescomplemented
174#2429C2212yescomplemented
175#2428C2212yes—
176#2428C2212yes—
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2427C2212yescomplemented
180#2426C2212yescomplemented
181#2426C2214yescomplemented
182#2426C2212yescomplemented
183#2424C2214yes—
184#2424C2214yescomplemented
185#2423C2212yescomplemented
186#2422C2212yes—
187#2422C2212yes—
188#2421C2212yescomplemented
189#2420C2214yescomplemented
190#2420C2214yescomplemented
191#2418C2214yescomplemented
192#2416C2212yescomplemented
193#2415C2212yescomplemented
194#2414C2214yescomplemented
195#2414C2214yescomplemented
196#2412C2214yescomplemented
197#2411C2214yescomplemented
198#2408C2212yes—
199#2407C2212yes—
200#2396C2214yescomplemented
201#2395C2214yescomplemented
202#2392C2214yescomplemented
203#2374C2214yescomplemented
204#2374C2214yescomplemented
205#2374C2212yescomplemented
206#2374C2212yescomplemented
207#2374C2212yescomplemented
208#2374C2212yescomplemented
209#2367C2211yescharacteristic
210#2367C2211yescharacteristic
211#2367C2212yescomplemented
212#2367C2212yescomplemented
213#2367C2211yescharacteristic, complemented
214#2367C2212yescomplemented
215#2367C2212yescomplemented
216#2367C2211yescharacteristic, complemented
217#2366C2211yescharacteristic
218#2366C2211yescharacteristic
219#2363C2212yes—
220#2363C2212yescomplemented
221#2363C2214yescomplemented
222#2363C2214yescomplemented
223#2363C2214yescomplemented
224#2363C2212yescomplemented
225#2360C2212yescomplemented
226#2360C2212yescomplemented
227#2360C2212yescomplemented
228#2358C2214yescomplemented
229#2358C2214yescomplemented
230#2357C2211yescharacteristic
231#2357C2211yescharacteristic
232#2357C2212yescomplemented
233#2357C2211yescharacteristic, complemented
234#2357C2212yescomplemented
235#2357C2212yescomplemented
236#2357C2211yescharacteristic, complemented
237#2355C2211yescharacteristic, complemented
238#2355C2211yescharacteristic, complemented
239#2355C2211yescharacteristic, complemented
240#2355C2211yescharacteristic, complemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2342C2214yescomplemented
245#2342C2214yescomplemented
246#2341C2212yes—
247#2341C2212yescomplemented
248#2341C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252#2335C2214yescomplemented
253#2335C2214yescomplemented
254#2333C2214yescomplemented
255#2333C2214yescomplemented
256#2321C2214yescomplemented
257#2321C2214yescomplemented
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×#127C2211yescharacteristic
261C4×#127C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#124C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic, complemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#124C2212yescomplemented
272C4×#124C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#123C2212yescomplemented
279C4×#121C2212yes—
280C4×#121C2212yescomplemented
281#2297C2212yes—
282#2297C2212yescomplemented
283#2293C2212yes—
284#2293C2212yescomplemented
285C2×#390C2212yes—
286C2×#390C2212yes—
287#2285C2212yescomplemented
288#2285C2212yescomplemented
289#2273C2214yescomplemented
290C42×Q8C2211yescharacteristic, complemented
291C42×Q8C2211yescharacteristic, complemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yescomplemented
296C42×D4C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—28no—
304#559—28no—
305#557—44no—
306#555—44no—
307#554—44no—
308#550—44no—
309#547—44no—
310#546—216no—
311#546—216no—
312#546—48no—
313D42—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322#529—48no—
323#529—48no—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×#117C2314yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2314yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2312yes—
438C22×C42C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C43C2311yescharacteristic
823C25C2414yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880#127—24no—
881#127—24no—
882#127—24no—
883#127—44no—
884#127—44no—
885#126—48no—
886#126—48no—
887#125—28no—
888#125—44no—
889#125—44no—
890#125—48no—
891#124—24no—
892#124—24no—
893#124—28no—
894#124—28no—
895#124—28no—
896#124—24no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—82no—
903#124#4118yescomplemented
904#123—28no—
905#123—216no—
906#123—216no—
907#123—28no—
908#123—28no—
909#123—28no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—48no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921#121—28no—
922#121—216no—
923#121—28no—
924#121—28no—
925#121—216no—
926#121—48no—
927#121—48no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—84no—
937#121—84no—
938#120—216no—
939#120—216no—
940#120—48no—
941#120—48no—
942#120—84no—
943C4×Q8—24no—
944C4×Q8—24no—
945C4×Q8—24no—
946C4×Q8—24no—
947C4×Q8—24no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—42no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—82no—
956C4×D4—24no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—84no—
982C4×D4—82no—
983C4×D4#4118yescomplemented
984#117—48no—
985#117—48no—
986#117—44no—
987#117—44no—
988#117—84no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C22⋊C4—216no—
1045C2×C22⋊C4—216no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—84no—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—44no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2412yes—
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221C24—28no—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24C2514yes—
1229C24C2512yes—
1230C24C2512yes—
1231C24C2512yes—
1232C24C2512yes—
1233#41—816no—
1234#41—816no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—41no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8C2×#4114yes—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—816no—
1309C2×D4—816no—
1310C2×D4C2×#4114yes—
1311C2×D4C2×#4114yes—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4C2×#4118yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2514yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—41no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4C2×#4114yes—
1442C4⋊C4H(5,𝔽2)14yes—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4C2×#4118yes—
1512C22⋊C4C2×#4118yes—
1513C22⋊C4C2×#4118yes—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—44no—
1542C42—42no—
1543C42—44no—
1544C42—42no—
1545C42—42no—
1546C42—41no—
1547C42—42no—
1548C42—42no—
1549C42—41no—
1550C42—41no—
1551C42—44no—
1552C42—41no—
1553C42—41no—
1554C42C2×#4114yes—
1555C42C2×#4114yes—
1556C42H(5,𝔽2)14yes—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—24no—
1588C23—22no—
1589C23—22no—
1590C23—416no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—88no—
1595C23—164no—
1596C23—164no—
1597C23C22×#4114yes—
1598C23C22×#4114yes—
1599C23C2611yescharacteristic
1600Q8—28no—
1601Q8—44no—
1602Q8—44no—
1603Q8—48no—
1604Q8—84no—
1605D4—28no—
1606D4—28no—
1607D4—48no—
1608D4—48no—
1609D4—44no—
1610D4—48no—
1611D4—44no—
1612D4—48no—
1613D4—88no—
1614D4—88no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618D4—84no—
1619D4—84no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623D4—164no—
1624D4—164no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—48no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—88no—
1712C2×C4—84no—
1713C2×C4—88no—
1714C2×C4—84no—
1715C2×C4—164no—
1716C2×C4C22×#4114yes—
1717C2×C4C22×#4114yes—
1718C2×C4C22×#4112yes—
1719C2×C4C22×#4112yes—
1720C2×C4C22×#4112yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4112yes—
1724C2×C4C2×H(5,𝔽2)14yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—24no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—44no—
1756C22—42no—
1757C22—42no—
1758C22—44no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—1616no—
1767C22C23×#4111yescharacteristic
1768C22C23×#4111yescharacteristic
1769C22C22×H(5,𝔽2)11yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C2×#58511yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22H(7,𝔽2)11yescharacteristic
1774C4—22no—
1775C4—22no—
1776C4—24no—
1777C4—22no—
1778C4—24no—
1779C4—24no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—41no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—42no—
1799C4—44no—
1800C4—42no—
1801C4—41no—
1802C4#350814yes—
1803C4#351414yes—
1804C2—44no—
1805C2—44no—
1806C2—82no—
1807C2—82no—
1808C2—84no—
1809C2#41211yescharacteristic
1810C2C2×#351411yescharacteristic
1811C2C2×#350811yescharacteristic
1812C2#6296111yescharacteristic
1813C2#6298611yescharacteristic
1814C2#6299211yescharacteristic
1815C2#6301811yescharacteristic
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. #59652C2semidirect
2. #59645C2semidirect
3. #59418C2semidirect
4. #59414C2semidirect
5. #59412C2semidirect
6. #59277C2semidirect
7. #59272C2semidirect
8. #59103C2semidirect
9. #59046C2semidirect
10. #44128C2semidirect
11. #43875C2semidirect
12. #43584C2semidirect
13. #40193C2semidirect
14. #40053C2semidirect
15. #40003C2semidirect
16. #39953C2semidirect
17. #39786C2semidirect
18. #39212C2semidirect
19. #36609C2semidirect
20. #36583C2semidirect
21. #36562C2semidirect
22. #36415C2semidirect
23. #36412C2semidirect
24. #36289C2semidirect
25. #36260C2semidirect
26. #36211C2semidirect
27. #36136C2semidirect
28. #35863C2semidirect
29. #34941C2semidirect
30. #34934C2semidirect
31. #34932C2semidirect
32. #34320C2semidirect
33. #34320C2semidirect
34. C4×#559C2semidirect
35. C4×#559C2semidirect
38. C2×#557C22semidirect
39. C2×#555C22semidirect
47. C2×#529C22semidirect
48. C2×#529C22semidirect
49. #2862C22semidirect
50. #2859C22semidirect
53. #2858C22semidirect
55. #2856C22semidirect
57. #2850C22semidirect
58. #2798C22semidirect
59. #2797C22semidirect
60. #2797C22semidirect
61. #2786C22semidirect
62. #2773C22semidirect
63. #2761C22semidirect
64. #2753C22semidirect
65. #2740C22semidirect
66. #2730C22semidirect
67. #2714C22semidirect
68. #2710C22semidirect
69. #2708C22semidirect
70. #2707C22semidirect
71. #2706C22semidirect
72. #2706C22semidirect
73. #2705C22semidirect
74. #2697C22semidirect
75. #2688C22semidirect
77. #2678C22semidirect
78. #2670C22semidirect
79. #2661C22semidirect
80. #2649C22semidirect
81. #2648C22semidirect
82. #2597C22semidirect
83. #2595C22semidirect
84. #2592C22semidirect
85. #2592C22semidirect
86. #2580C22semidirect
87. #2574C22semidirect
88. #2567C22semidirect
90. #2565C22semidirect
92. #2558C22semidirect
93. #2557C22semidirect
94. #2557C22semidirect
95. #2557C22semidirect
96. #2556C22semidirect
97. #2556C22semidirect
98. #2555C22semidirect
99. #2555C22semidirect
100. #2554C22semidirect
101. #2554C22semidirect
102. #2554C22semidirect
103. #2553C22semidirect
104. #2553C22semidirect
105. #2552C22semidirect
107. #2548C22semidirect
108. #2547C22semidirect
109. #2547C22semidirect
114. #2540C22semidirect
117. #2539C22semidirect
119. #2538C22semidirect
122. #2535C22semidirect
123. #2535C22semidirect
124. #2522C22semidirect
125. #2517C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2512C22semidirect
131. #2508C22semidirect
134. #2500C22semidirect
135. #2499C22semidirect
136. #2497C22semidirect
137. #2496C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
147. #2489C22semidirect
148. #2480C22semidirect
149. #2479C22semidirect
150. #2479C22semidirect
153. #2471C22semidirect
154. #2470C22semidirect
155. #2464C22semidirect
156. #2456C22semidirect
157. #2456C22semidirect
159. #2448C22semidirect
160. #2448C22semidirect
161. #2447C22semidirect
162. #2447C22semidirect
163. #2445C22semidirect
164. #2442C22semidirect
165. #2441C22semidirect
171. #2431C22semidirect
172. #2429C22semidirect
173. #2429C22semidirect
174. #2429C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
184. #2424C22semidirect
185. #2423C22semidirect
188. #2421C22semidirect
189. #2420C22semidirect
190. #2420C22semidirect
191. #2418C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2414C22semidirect
195. #2414C22semidirect
196. #2412C22semidirect
197. #2411C22semidirect
200. #2396C22semidirect
201. #2395C22semidirect
202. #2392C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2374C22semidirect
206. #2374C22semidirect
207. #2374C22semidirect
208. #2374C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
214. #2367C22semidirect
215. #2367C22semidirect
216. #2367C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
224. #2363C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
227. #2360C22semidirect
228. #2358C22semidirect
229. #2358C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2357C22semidirect
235. #2357C22semidirect
236. #2357C22semidirect
237. #2355C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2342C22semidirect
245. #2342C22semidirect
247. #2341C22semidirect
248. #2341C22semidirect
252. #2335C22semidirect
253. #2335C22semidirect
254. #2333C22semidirect
255. #2333C22semidirect
256. #2321C22semidirect
257. #2321C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×C4⋊Q8C22semidirect
263. C4×#127C22semidirect
264. C4×#125C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
278. C4×#123C22semidirect
280. C4×#121C22semidirect
282. #2297C22semidirect
284. #2293C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
289. #2273C22semidirect
290. C42×Q8C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
903. #124#41semidirect
983. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596522
#596452
#594182
#594142
#594122
#592772
#592722
#591032
#590462
#441282
#438752
#435842
#401932
#400532
#400032
#399532
#397862
#392122
#366092
#365832
#365622
#364152
#364122
#362892
#362602
#362112
#361362
#358632
#349412
#349342
#349322
#343202
C4×#5592