Finite Group Databasebeta

← #7784000

Subgroups — #7784000

Order 512.

5651 conjugacy classes of subgroups.

The subgroup lattice has 1865 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59544C212yesmaximal, complemented
2#59235C211yesmaximal, characteristic, complemented
3#59234C211yesmaximal, characteristic, complemented
4#59080C211yesmaximal, characteristic, complemented
5#59066C211yesmaximal, characteristic, complemented
6#59002C212yesmaximal, complemented
7#49876C214yesmaximal, complemented
8#48462C214yesmaximal, complemented
9#47569C214yesmaximal, complemented
10#46618C214yesmaximal, complemented
11#46043C212yesmaximal, complemented
12#45601C212yesmaximal, complemented
13#44959C212yesmaximal, complemented
14#44946C212yesmaximal, complemented
15#42592C212yesmaximal, complemented
16#42585C212yesmaximal, complemented
17#39950C212yesmaximal, complemented
18#39887C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39596C211yesmaximal, characteristic, complemented
21#38951C212yesmaximal, complemented
22#38905C212yesmaximal, complemented
23#37969C212yesmaximal, complemented
24#37782C212yesmaximal, complemented
25#37289C212yesmaximal, complemented
26#36302C211yesmaximal, characteristic, complemented
27#36288C211yesmaximal, characteristic, complemented
28#36186C211yesmaximal, characteristic, complemented
29#36126C211yesmaximal, characteristic, complemented
30#36101C211yesmaximal, characteristic, complemented
31D4×C22⋊Q8C211yesmaximal, characteristic, complemented
32#35292C211yesmaximal, characteristic, complemented
33#34947C211yesmaximal, characteristic, complemented
34#34368C212yesmaximal, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yescomplemented
40C2×#547C2212yescomplemented
41C2×#547C2212yescomplemented
42C2×#535C2211yescharacteristic
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2212yes—
45C2×#532C2211yescharacteristic, complemented
46C2×#525C2212yes—
47C22×C22⋊Q8C2212yes—
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2862C2212yescomplemented
51#2861C2212yescomplemented
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic, complemented
56#2854C2212yes—
57#2854C2212yescomplemented
58#2848C2212yes—
59#2847C2212yes—
60#2832C2214yescomplemented
61#2824C2214yescomplemented
62#2804C2214yes—
63#2795C2214yescomplemented
64#2785C2214yescomplemented
65#2782C2214yescomplemented
66#2782C2214yescomplemented
67#2775C2214yescomplemented
68#2763C2214yescomplemented
69#2763C2214yescomplemented
70#2753C2214yes—
71#2753C2214yes—
72#2744C2214yescomplemented
73#2737C2214yescomplemented
74#2720C2214yescomplemented
75#2720C2214yescomplemented
76#2718C2214yescomplemented
77#2712C2214yes—
78#2712C2214yescomplemented
79#2711C2214yescomplemented
80#2711C2214yescomplemented
81#2706C2214yes—
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2706C2214yescomplemented
86#2696C2214yes—
87#2696C2214yescomplemented
88#2696C2214yescomplemented
89#2692C2214yes—
90#2692C2214yescomplemented
91#2692C2214yescomplemented
92#2685C2214yes—
93#2684C2214yes—
94#2680C2214yescomplemented
95#2678C2214yes—
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2673C2214yes—
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2670C2214yes—
102#2662C2214yescomplemented
103#2633C2214yescomplemented
104#2628C2212yescomplemented
105#2624C2212yescomplemented
106#2623C2214yescomplemented
107#2620C2214yescomplemented
108#2619C2212yes—
109#2615C2212yes—
110#2612C2214yescomplemented
111#2610C2214yes—
112#2610C2214yescomplemented
113#2609C2214yescomplemented
114#2603C2214yes—
115#2598C2214yes—
116#2592C2212yescomplemented
117#2580C2212yes—
118#2580C2212yescomplemented
119#2580C2212yescomplemented
120#2574C2214yes—
121#2574C2214yescomplemented
122#2568C2211yescharacteristic, complemented
123#2567C2212yescomplemented
124#2567C2211yescharacteristic, complemented
125#2566C2212yes—
126#2566C2214yes—
127#2565C2212yescomplemented
128#2564C2212yes—
129#2564C2212yescomplemented
130#2563C2211yescharacteristic
131#2562C2212yescomplemented
132#2552C2211yescharacteristic, complemented
133#2551C2211yescharacteristic, complemented
134#2548C2212yes—
135#2548C2211yescharacteristic, complemented
136#2547C2212yescomplemented
137#2546C2211yescharacteristic, complemented
138#2542C2211yescharacteristic
139#2542C2211yescharacteristic
140#2542C2212yescomplemented
141#2541C2211yescharacteristic
142#2540C2212yes—
143#2540C2212yescomplemented
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2535C2212yes—
147#2532C2214yescomplemented
148#2531C2214yescomplemented
149#2519C2214yescomplemented
150#2513C2212yes—
151#2513C2212yescomplemented
152#2512C2212yes—
153#2508C2212yescomplemented
154#2508C2212yescomplemented
155#2506C2212yescomplemented
156#2502C2214yescomplemented
157#2500C2212yes—
158#2498C2214yescomplemented
159#2497C2212yescomplemented
160#2495C2212yescomplemented
161#2492C2212yes—
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yes—
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2212yes—
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2476C2214yes—
172#2474C2214yescomplemented
173#2474C2214yescomplemented
174#2463C2214yescomplemented
175#2461C2214yes—
176#2461C2214yescomplemented
177#2459C2214yes—
178#2456C2214yes—
179#2452C2212yes—
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2449C2214yes—
183#2449C2214yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2440C2212yes—
190#2439C2212yes—
191#2437C2214yes—
192#2436C2212yescomplemented
193#2434C2212yescomplemented
194#2433C2212yes—
195#2432C2212yescomplemented
196#2432C2212yescomplemented
197#2431C2214yes—
198#2430C2214yescomplemented
199#2429C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2422C2212yescomplemented
208#2420C2212yes—
209#2418C2214yes—
210#2417C2212yes—
211#2417C2211yescharacteristic
212#2417C2211yescharacteristic
213#2417C2211yescharacteristic, complemented
214#2417C2211yescharacteristic, complemented
215#2417C2212yescomplemented
216#2417C2212yescomplemented
217#2416C2212yescomplemented
218#2415C2212yescomplemented
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yescomplemented
222#2411C2214yes—
223#2409C2212yes—
224#2409C2212yescomplemented
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2404C2214yes—
232#2396C2212yes—
233#2396C2212yescomplemented
234#2379C2214yescomplemented
235#2379C2214yescomplemented
236#2369C2212yescomplemented
237#2369C2212yescomplemented
238#2366C2212yes—
239#2366C2212yes—
240#2366C2211yescharacteristic, complemented
241#2365C2211yescharacteristic, complemented
242#2363C2212yes—
243#2362C2212yescomplemented
244#2361C2212yes—
245#2361C2212yescomplemented
246#2355C2211yescharacteristic, complemented
247#2355C2211yescharacteristic, complemented
248#2354C2211yescharacteristic
249#2354C2212yes—
250#2354C2214yescomplemented
251#2354C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2214yescomplemented
255D4×C4⋊C4C2212yescomplemented
256#2347C2212yescomplemented
257#2346C2212yes—
258#2344C2212yescomplemented
259D4×C22⋊C4C2212yes—
260#2328C2212yes—
261#2326C2212yes—
262#2324C2211yescharacteristic
263#2324C2211yescharacteristic
264#2324C2211yescharacteristic
265#2324C2211yescharacteristic
266#2324C2212yes—
267#2324C2212yes—
268#2324C2214yescomplemented
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2324C2214yescomplemented
272#2321C2212yes—
273#2321C2212yes—
274#2317C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2214yescomplemented
277#2311C2214yescomplemented
278#2309C2211yescharacteristic
279C4×#127C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2297C2212yes—
292#2295C2212yescomplemented
293#2293C2212yescomplemented
294#2285C2212yescomplemented
295#2285C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#552—48no—
307#550—44no—
308D4×Q8—44no—
309#548—48no—
310#547—48no—
311#547—48no—
312#535—28no—
313#533—44no—
314#532—216no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338#525—48no—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8—48no—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#120C2312yes—
385C2×#120C2312yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C4×#41—44no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×D4—44no—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2314yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2314yes—
442C22×C42C2312yes—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#399C2312yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2312yes—
493#395C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
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#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2312yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2314yes—
549#391C2314yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2312yes—
560#391C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2314yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#383C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#382C2312yes—
747#382C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2314yes—
753#381C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#379C2312yes—
782#379C2312yes—
783#379C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820#376C2312yes—
821#376C2314yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2412yes—
825C2×#41—216no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—42no—
829C2×#41—48no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—84no—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8—44no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2414yes—
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×D4—24no—
848C22×D4—24no—
849C22×D4—42no—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C23×C4—44no—
871C23×C4—44no—
872C23×C4—44no—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C4⋊Q8—28no—
895C4⋊Q8—24no—
896C4⋊Q8—42no—
897C4⋊Q8—44no—
898C4⋊Q8—44no—
899C4⋊Q8—42no—
900C4⋊Q8—44no—
901#127—28no—
902#127—28no—
903#127—24no—
904#127—44no—
905#126—48no—
906#125—44no—
907#125—48no—
908#125—44no—
909#124—216no—
910#124—28no—
911#124—48no—
912#124—44no—
913#124—44no—
914#124—84no—
915#124—84no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—48no—
922C22⋊Q8—24no—
923C22⋊Q8—28no—
924C22⋊Q8—24no—
925C22⋊Q8—24no—
926C22⋊Q8—24no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—44no—
932C22⋊Q8—48no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941#121—216no—
942#121—24no—
943#121—28no—
944#121—24no—
945#121—28no—
946#121—24no—
947#121—28no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—82no—
958#121—82no—
959#121#4118yescomplemented
960#120—28no—
961#120—28no—
962#120—48no—
963#120—84no—
964C4×Q8—28no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—44no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—216no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—44no—
977C4×D4—48no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4—48no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997#117—24no—
998#117—24no—
999#117—28no—
1000#117—42no—
1001#117—42no—
1002#117—42no—
1003#117—44no—
1004#117—48no—
1005#117—82no—
1006#117—84no—
1007#117—84no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—42no—
1012C2×C4⋊C4—48no—
1013C2×C4⋊C4—48no—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C22⋊C4—44no—
1079C2×C22⋊C4—48no—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C42—28no—
1150C2×C42—24no—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234C24—24no—
1235C24—24no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24C2512yes—
1242C24C2514yes—
1243C24C2511yescharacteristic
1244C24C2512yes—
1245C24C2511yescharacteristic
1246C24C2511yescharacteristic
1247#41—416no—
1248#41—832no—
1249#41—816no—
1250#41—816no—
1251C2×Q8—22no—
1252C2×Q8—28no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—24no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—41no—
1264C2×Q8—42no—
1265C2×Q8—44no—
1266C2×Q8—44no—
1267C2×Q8—44no—
1268C2×Q8—44no—
1269C2×Q8—42no—
1270C2×Q8—44no—
1271C2×Q8—42no—
1272C2×Q8—816no—
1273C2×D4—28no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—416no—
1302C2×D4—42no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4C2×#4114yes—
1333C2×D4C2×#4118yes—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—28no—
1341C22×C4—28no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—41no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—816no—
1396C22×C4C2×#4114yes—
1397C22×C42−1+414yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C4⋊C4—22no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4C2×#4114yes—
1489C4⋊C4H(5,𝔽2)14yes—
1490C4⋊C4H(5,𝔽2)14yes—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4C2×#4118yes—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—28no—
1575C42—24no—
1576C42—24no—
1577C42—28no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—42no—
1582C42—42no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42H(5,𝔽2)14yes—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—21no—
1592C23—21no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—24no—
1606C23—22no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—24no—
1613C23—24no—
1614C23—22no—
1615C23—24no—
1616C23—21no—
1617C23—24no—
1618C23—21no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—24no—
1623C23—21no—
1624C23—24no—
1625C23—22no—
1626C23—48no—
1627C23—48no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—84no—
1633C23C22×#4114yes—
1634C23C22×#4112yes—
1635C23C2×2−1+412yes—
1636C23C2611yescharacteristic
1637Q8—44no—
1638Q8—44no—
1639Q8—48no—
1640Q8—44no—
1641Q8—88no—
1642Q8—84no—
1643Q8—88no—
1644D4—28no—
1645D4—48no—
1646D4—416no—
1647D4—48no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—48no—
1652D4—44no—
1653D4—48no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—88no—
1659D4—88no—
1660D4—88no—
1661D4—88no—
1662D4—88no—
1663D4—164no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—28no—
1677C2×C4—28no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—416no—
1742C2×C4—48no—
1743C2×C4—416no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—44no—
1752C2×C4—82no—
1753C2×C4—82no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4C22×#4112yes—
1761C2×C4C22×#4114yes—
1762C2×C4C22×#4112yes—
1763C2×C4C2×H(5,𝔽2)14yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)14yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×2−1+412yes—
1771C2×C4C2×2−1+412yes—
1772C22—22no—
1773C22—24no—
1774C22—22no—
1775C22—24no—
1776C22—22no—
1777C22—22no—
1778C22—24no—
1779C22—22no—
1780C22—22no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—41no—
1795C22—42no—
1796C22—44no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—44no—
1802C22—41no—
1803C22—42no—
1804C22—44no—
1805C22—41no—
1806C22—44no—
1807C22—42no—
1808C22—41no—
1809C22—44no—
1810C22—42no—
1811C22—44no—
1812C22—41no—
1813C22—42no—
1814C22—816no—
1815C22C23×#4111yescharacteristic
1816C22C22×H(5,𝔽2)11yescharacteristic
1817C22C22×H(5,𝔽2)11yescharacteristic
1818C22C22×H(5,𝔽2)11yescharacteristic
1819C22C22×2−1+411yescharacteristic
1820C22H(7,𝔽2)11yescharacteristic
1821C222−1+611yescharacteristic
1822C4—24no—
1823C4—24no—
1824C4—24no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—42no—
1829C4—44no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—44no—
1839C4—42no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4#352014yes—
1850C4#354914yes—
1851C2—42no—
1852C2—44no—
1853C2—42no—
1854C2—84no—
1855C2—81no—
1856C2—82no—
1857C2C2×#354911yescharacteristic
1858C2C2×#352011yescharacteristic
1859C2#6287511yescharacteristic
1860C2#6291311yescharacteristic
1861C2#6291711yescharacteristic
1862C2#6298311yescharacteristic
1863C2#6298511yescharacteristic
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. #59544C2semidirect
2. #59235C2semidirect
3. #59234C2semidirect
4. #59080C2semidirect
5. #59066C2semidirect
6. #59002C2semidirect
7. #49876C2semidirect
8. #48462C2semidirect
9. #47569C2semidirect
10. #46618C2semidirect
11. #46043C2semidirect
12. #45601C2semidirect
13. #44959C2semidirect
14. #44946C2semidirect
15. #42592C2semidirect
16. #42585C2semidirect
17. #39950C2semidirect
18. #39887C2semidirect
19. #39725C2semidirect
20. #39596C2semidirect
21. #38951C2semidirect
22. #38905C2semidirect
23. #37969C2semidirect
24. #37782C2semidirect
25. #37289C2semidirect
26. #36302C2semidirect
27. #36288C2semidirect
28. #36186C2semidirect
29. #36126C2semidirect
30. #36101C2semidirect
31. D4×C22⋊Q8C2semidirect
32. #35292C2semidirect
33. #34947C2semidirect
34. #34368C2semidirect
35. C4×#535C2semidirect
36. C2×#552C22semidirect
39. C2×#548C22semidirect
40. C2×#547C22semidirect
41. C2×#547C22semidirect
43. C2×#533C22semidirect
45. C2×#532C22semidirect
50. #2862C22semidirect
51. #2861C22semidirect
53. #2857C22semidirect
55. #2856C22semidirect
57. #2854C22semidirect
60. #2832C22semidirect
61. #2824C22semidirect
63. #2795C22semidirect
64. #2785C22semidirect
65. #2782C22semidirect
66. #2782C22semidirect
67. #2775C22semidirect
68. #2763C22semidirect
69. #2763C22semidirect
72. #2744C22semidirect
73. #2737C22semidirect
74. #2720C22semidirect
75. #2720C22semidirect
76. #2718C22semidirect
78. #2712C22semidirect
79. #2711C22semidirect
80. #2711C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
85. #2706C22semidirect
87. #2696C22semidirect
88. #2696C22semidirect
90. #2692C22semidirect
91. #2692C22semidirect
94. #2680C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
102. #2662C22semidirect
103. #2633C22semidirect
104. #2628C22semidirect
105. #2624C22semidirect
106. #2623C22semidirect
107. #2620C22semidirect
110. #2612C22semidirect
112. #2610C22semidirect
113. #2609C22semidirect
116. #2592C22semidirect
118. #2580C22semidirect
119. #2580C22semidirect
121. #2574C22semidirect
122. #2568C22semidirect
123. #2567C22semidirect
124. #2567C22semidirect
127. #2565C22semidirect
129. #2564C22semidirect
131. #2562C22semidirect
132. #2552C22semidirect
133. #2551C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2546C22semidirect
140. #2542C22semidirect
143. #2540C22semidirect
147. #2532C22semidirect
148. #2531C22semidirect
149. #2519C22semidirect
151. #2513C22semidirect
153. #2508C22semidirect
154. #2508C22semidirect
155. #2506C22semidirect
156. #2502C22semidirect
158. #2498C22semidirect
159. #2497C22semidirect
160. #2495C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
172. #2474C22semidirect
173. #2474C22semidirect
174. #2463C22semidirect
176. #2461C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
192. #2436C22semidirect
193. #2434C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
198. #2430C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
207. #2422C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
216. #2417C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
221. #2414C22semidirect
224. #2409C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
233. #2396C22semidirect
234. #2379C22semidirect
235. #2379C22semidirect
236. #2369C22semidirect
237. #2369C22semidirect
240. #2366C22semidirect
241. #2365C22semidirect
243. #2362C22semidirect
245. #2361C22semidirect
246. #2355C22semidirect
247. #2355C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2347C22semidirect
258. #2344C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
276. #2311C22semidirect
277. #2311C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
292. #2295C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
298. C2×C4×C4⋊C4C22semidirect
959. #121#41semidirect

Maximal subgroups

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

subgroupindex
#595442
#592352
#592342
#590802
#590662
#590022
#498762
#484622
#475692
#466182
#460432
#456012
#449592
#449462
#425922
#425852
#399502
#398872
#397252
#395962
#389512
#389052
#379692
#377822
#372892
#363022
#362882
#361862
#361262
#361012
D4×C22⋊Q82
#352922
#349472
#343682
C4×#5352