Finite Group Databasebeta

← #7682781

Subgroups — #7682781

Order 512.

5927 conjugacy classes of subgroups.

The subgroup lattice has 1871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59698C212yesmaximal, complemented
2#59696C212yesmaximal, complemented
3#59693C212yesmaximal, complemented
4#59691C212yesmaximal, complemented
5#59403C212yesmaximal, complemented
6#59401C212yesmaximal, complemented
7#59394C212yesmaximal, complemented
8#59392C212yesmaximal, complemented
9#59301C214yesmaximal, complemented
10#59013C214yesmaximal, complemented
11#45198C212yesmaximal, complemented
12#45074C212yesmaximal, complemented
13#45063C212yesmaximal, complemented
14#45046C212yesmaximal, complemented
15#45045C212yesmaximal, complemented
16#45038C212yesmaximal, complemented
17#45033C212yesmaximal, complemented
18#45015C212yesmaximal, complemented
19#43080C214yesmaximal, complemented
20#43054C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35563C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35528C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#34814C211yesmaximal, characteristic, complemented
28#34810C211yesmaximal, characteristic, complemented
29C2×#2428C211yesmaximal, characteristic, complemented
30#34265C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34210C211yesmaximal, characteristic, complemented
33#34204C211yesmaximal, characteristic, complemented
34#34204C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36C2×#553C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#127C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2212yes—
44C2×#520C2211yescharacteristic
45C2×#518C2211yescharacteristic
46C2×#518C2211yescharacteristic
47C2×#518C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50#2797C2214yescomplemented
51#2797C2214yescomplemented
52#2786C2214yescomplemented
53#2782C2214yescomplemented
54#2781C2214yescomplemented
55#2779C2214yescomplemented
56#2778C2214yescomplemented
57#2778C2214yescomplemented
58#2757C2214yescomplemented
59#2756C2214yescomplemented
60#2753C2214yescomplemented
61#2750C2214yescomplemented
62#2749C2214yescomplemented
63#2749C2214yescomplemented
64#2714C2214yescomplemented
65#2714C2214yescomplemented
66#2711C2214yescomplemented
67#2708C2214yescomplemented
68#2703C2214yescomplemented
69#2703C2214yescomplemented
70#2691C2214yescomplemented
71#2691C2214yescomplemented
72#2688C2214yescomplemented
73#2688C2214yescomplemented
74#2603C2214yescomplemented
75#2603C2214yescomplemented
76#2602C2214yescomplemented
77#2600C2214yescomplemented
78#2600C2214yescomplemented
79#2598C2214yescomplemented
80#2595C2214yescomplemented
81#2591C2214yescomplemented
82#2579C2214yescomplemented
83#2578C2214yescomplemented
84#2576C2214yescomplemented
85#2569C2214yes—
86#2559C2214yescomplemented
87#2544C2212yescomplemented
88#2544C2212yescomplemented
89#2543C2214yescomplemented
90#2543C2214yescomplemented
91#2541C2212yescomplemented
92#2541C2212yescomplemented
93#2537C2212yescomplemented
94#2537C2212yescomplemented
95#2535C2212yescomplemented
96#2535C2212yescomplemented
97#2535C2214yescomplemented
98#2534C2214yes—
99#2531C2214yescomplemented
100#2513C2212yescomplemented
101#2513C2212yescomplemented
102#2513C2212yescomplemented
103#2513C2212yescomplemented
104#2512C2212yescomplemented
105#2512C2212yescomplemented
106#2512C2212yescomplemented
107#2512C2212yescomplemented
108#2510C2214yescomplemented
109#2509C2212yescomplemented
110#2509C2212yescomplemented
111#2508C2212yescomplemented
112#2508C2212yescomplemented
113#2507C2212yescomplemented
114#2507C2212yescomplemented
115#2506C2212yescomplemented
116#2506C2212yescomplemented
117#2504C2214yescomplemented
118#2504C2211yescharacteristic, complemented
119#2503C2211yescharacteristic, complemented
120#2502C2211yescharacteristic, complemented
121#2501C2211yescharacteristic, complemented
122#2500C2211yescharacteristic, complemented
123#2500C2211yescharacteristic, complemented
124#2499C2211yescharacteristic, complemented
125#2499C2211yescharacteristic, complemented
126#2498C2212yes—
127#2498C2212yes—
128#2497C2211yescharacteristic, complemented
129#2497C2211yescharacteristic, complemented
130#2496C2211yescharacteristic, complemented
131#2496C2211yescharacteristic, complemented
132#2495C2211yescharacteristic, complemented
133#2495C2211yescharacteristic, complemented
134#2494C2211yescharacteristic, complemented
135#2494C2211yescharacteristic, complemented
136#2493C2212yes—
137#2493C2212yes—
138#2490C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yes—
141#2480C2212yes—
142#2480C2212yes—
143#2480C2214yes—
144#2476C2214yescomplemented
145#2468C2214yescomplemented
146#2467C2214yescomplemented
147#2464C2214yescomplemented
148#2464C2214yescomplemented
149#2460C2214yescomplemented
150#2457C2214yescomplemented
151#2456C2214yescomplemented
152#2456C2214yescomplemented
153#2447C2212yescomplemented
154#2447C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2212yescomplemented
157#2444C2214yescomplemented
158#2444C2214yescomplemented
159#2444C2214yescomplemented
160#2443C2214yescomplemented
161#2442C2214yes—
162#2428C2212yes—
163#2428C2212yes—
164#2428C2212yes—
165#2428C2212yes—
166#2428C2212yes—
167#2428C2212yes—
168#2428C2212yes—
169#2428C2212yes—
170#2428C2212yescomplemented
171#2428C2212yescomplemented
172#2428C2212yescomplemented
173#2428C2212yescomplemented
174#2428C2212yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2427C2212yescomplemented
179#2427C2212yescomplemented
180#2426C2212yescomplemented
181#2426C2212yescomplemented
182#2422C2212yescomplemented
183#2422C2212yescomplemented
184#2420C2212yescomplemented
185#2420C2212yescomplemented
186#2420C2214yescomplemented
187#2416C2212yescomplemented
188#2416C2212yescomplemented
189#2416C2214yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2414C2214yescomplemented
193#2412C2214yes—
194#2412C2214yes—
195#2412C2212yes—
196#2412C2212yes—
197#2412C2214yes—
198#2410C2214yes—
199#2410C2214yes—
200#2410C2214yes—
201#2408C2214yes—
202#2401C2212yescomplemented
203#2401C2212yescomplemented
204#2395C2212yescomplemented
205#2395C2212yescomplemented
206C2×#394C2212yes—
207C2×#392C2212yes—
208#2367C2212yescomplemented
209#2367C2212yescomplemented
210#2366C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2366C2212yescomplemented
214#2366C2212yescomplemented
215#2366C2212yescomplemented
216#2364C2214yescomplemented
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2363C2212yescomplemented
222#2363C2212yescomplemented
223#2361C2212yescomplemented
224#2361C2214yescomplemented
225#2361C2212yescomplemented
226#2361C2212yescomplemented
227#2361C2212yescomplemented
228#2361C2212yescomplemented
229#2361C2212yescomplemented
230#2353C2214yes—
231#2353C2214yescomplemented
232#2352C2214yes—
233#2349C2212yescomplemented
234#2349C2212yescomplemented
235#2349C2212yescomplemented
236#2349C2212yescomplemented
237D4×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2347C2212yescomplemented
242#2346C2212yescomplemented
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2342C2214yes—
246#2342C2214yes—
247D4×C22⋊C4C2214yes—
248D4×C22⋊C4C2214yes—
249D4×C22⋊C4C2214yes—
250D4×C22⋊C4C2214yes—
251#2328C2212yescomplemented
252#2328C2212yescomplemented
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255#2324C2212yescomplemented
256#2324C2212yescomplemented
257#2321C2214yes—
258#2320C2212yescomplemented
259#2319C2212yescomplemented
260#2317C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2315C2214yes—
265#2311C2211yescharacteristic
266#2309C2211yescharacteristic
267#2309C2211yescharacteristic
268#2309C2211yescharacteristic
269C4×#127C2212yescomplemented
270C4×#127C2212yescomplemented
271C4×#126C2212yescomplemented
272C4×#126C2212yescomplemented
273C4×#123C2212yescomplemented
274C4×#123C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#120C2214yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2295C2212yescomplemented
285#2293C2212yescomplemented
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#386C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2214yes—
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#553—416no—
309#535—28no—
310#535—44no—
311C2×#127—28no—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325#525—44no—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121—28no—
334C2×#121—28no—
335C2×#121—48no—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#120C2314yes—
363C2×#120C2312yes—
364C2×#120C2314yes—
365#520—28no—
366#518—44no—
367#518—44no—
368#518—44no—
369C2×C4×Q8C2312yes—
370C2×C4×D4—28no—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×#117—44no—
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2314yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2314yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2314yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437#401C2312yes—
438#401C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2314yes—
451#399C2312yes—
452#399C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#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#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#383C2312yes—
717#383C2312yes—
718#383C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#381C2314yes—
734#381C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817#376C2314yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C43C2312yes—
824C25C2411yescharacteristic
825C25C2412yes—
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4—82no—
846C22×D4—82no—
847C22×D4—82no—
848C22×D4#4118yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4—24no—
870C23×C4—24no—
871C23×C4—24no—
872C23×C4—28no—
873C23×C4—44no—
874C23×C4—82no—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899#127—28no—
900#127—28no—
901#127—28no—
902#127—28no—
903#127—28no—
904#127—44no—
905#126—28no—
906#126—44no—
907#126—48no—
908#126—84no—
909#125—48no—
910#124—28no—
911#124—44no—
912#123—28no—
913#123—44no—
914#123—48no—
915#123—44no—
916#123—84no—
917C22⋊Q8—42no—
918C22⋊Q8—42no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—216no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—42no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—84no—
942#121—84no—
943#121—84no—
944#121—84no—
945#120—216no—
946#120—44no—
947#120—48no—
948C4×Q8—28no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—84no—
975C4×D4—84no—
976C4×D4—84no—
977C4×D4—84no—
978C4×D4—84no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—24no—
985#117—24no—
986#117—28no—
987#117—44no—
988#117—48no—
989#117—44no—
990#117—42no—
991#117—42no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—48no—
998C2×C4⋊C4—84no—
999C2×C4⋊C4#4118yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C22⋊C4—28no—
1054C2×C22⋊C4—28no—
1055C2×C22⋊C4—28no—
1056C2×C22⋊C4—24no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—44no—
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4—82no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—24no—
1230C24—24no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—24no—
1236C24—24no—
1237C24—24no—
1238C24—41no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—41no—
1243C24—41no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24C2×#4118yes—
1250C24C2514yes—
1251C24C2511yescharacteristic
1252C24C2512yes—
1253C24C2514yes—
1254C24C2511yescharacteristic
1255C24C2511yescharacteristic
1256#41—416no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—232no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—28no—
1290C2×D4—22no—
1291C2×D4—28no—
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—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—416no—
1320C2×D4—816no—
1321C2×D4—816no—
1322C2×D4—816no—
1323C2×D4—816no—
1324C2×D4C2×#4118yes—
1325C2×D4C2×#4118yes—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—28no—
1356C22×C4—28no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—41no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—416no—
1395C22×C4—816no—
1396C22×C4C2×#4118yes—
1397C22×C4C2×#4114yes—
1398C22×C4C2×#4114yes—
1399C22×C4H(5,𝔽2)14yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2514yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—28no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
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—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4C2×#4118yes—
1481C4⋊C4C2×#4118yes—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—22no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
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—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4H(5,𝔽2)14yes—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—28no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—24no—
1571C42—24no—
1572C42—42no—
1573C42—42no—
1574C42—44no—
1575C42—44no—
1576C42—42no—
1577C42—42no—
1578C42—44no—
1579C42—44no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—24no—
1585C23—21no—
1586C23—21no—
1587C23—24no—
1588C23—21no—
1589C23—24no—
1590C23—21no—
1591C23—24no—
1592C23—21no—
1593C23—21no—
1594C23—24no—
1595C23—24no—
1596C23—216no—
1597C23—22no—
1598C23—24no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—24no—
1603C23—22no—
1604C23—21no—
1605C23—24no—
1606C23—21no—
1607C23—24no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—21no—
1617C23—21no—
1618C23—48no—
1619C23—48no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—48no—
1625C23—84no—
1626C23—82no—
1627C23—84no—
1628C23—82no—
1629C23—84no—
1630C23—82no—
1631C23—84no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23C22×#4118yes—
1639C23C22×#4112yes—
1640C23C22×#4112yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2×H(5,𝔽2)12yes—
1643C23C2611yescharacteristic
1644Q8—44no—
1645D4—216no—
1646D4—216no—
1647D4—416no—
1648D4—416no—
1649D4—416no—
1650D4—416no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—44no—
1655D4—88no—
1656D4—88no—
1657D4—88no—
1658D4—84no—
1659D4—88no—
1660D4—88no—
1661D4—88no—
1662D4—84no—
1663D4—164no—
1664D4—164no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—48no—
1743C2×C4—416no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—88no—
1754C2×C4—88no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—164no—
1760C2×C4—164no—
1761C2×C4—164no—
1762C2×C4—164no—
1763C2×C4—164no—
1764C2×C4—164no—
1765C2×C4#553116yescomplemented
1766C2×C4C22×#4118yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4#58512yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—28no—
1785C22—28no—
1786C22—22no—
1787C22—28no—
1788C22—44no—
1789C22—41no—
1790C22—44no—
1791C22—41no—
1792C22—44no—
1793C22—41no—
1794C22—44no—
1795C22—41no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—44no—
1808C22—44no—
1809C22—42no—
1810C22—41no—
1811C22—44no—
1812C22—41no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—44no—
1817C22—816no—
1818C22—88no—
1819C22—168no—
1820C22C2×#55314yes—
1821C22C23×#4111yescharacteristic
1822C22C23×#4111yescharacteristic
1823C22C22×H(5,𝔽2)11yescharacteristic
1824C22C22×H(5,𝔽2)11yescharacteristic
1825C22C2×#58511yescharacteristic
1826C22H(7,𝔽2)11yescharacteristic
1827C22H(7,𝔽2)11yescharacteristic
1828C4—22no—
1829C4—28no—
1830C4—22no—
1831C4—22no—
1832C4—41no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—41no—
1841C4—41no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—41no—
1853C4—41no—
1854C4—42no—
1855C4C2×#55314yes—
1856C4C2×#55314yes—
1857C2—24no—
1858C2—42no—
1859C2—48no—
1860C2—82no—
1861C2—81no—
1862C2—84no—
1863C2C22×#55311yescharacteristic
1864C2#6283411yescharacteristic
1865C2#6288011yescharacteristic
1866C2#6298311yescharacteristic
1867C2#6298311yescharacteristic
1868C2#6299011yescharacteristic
1869C2#6300611yescharacteristic
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. #59698C2semidirect
2. #59696C2semidirect
3. #59693C2semidirect
4. #59691C2semidirect
5. #59403C2semidirect
6. #59401C2semidirect
7. #59394C2semidirect
8. #59392C2semidirect
9. #59301C2semidirect
10. #59013C2semidirect
11. #45198C2semidirect
12. #45074C2semidirect
13. #45063C2semidirect
14. #45046C2semidirect
15. #45045C2semidirect
16. #45038C2semidirect
17. #45033C2semidirect
18. #45015C2semidirect
19. #43080C2semidirect
20. #43054C2semidirect
21. #35585C2semidirect
22. #35563C2semidirect
23. #35558C2semidirect
24. #35541C2semidirect
25. #35528C2semidirect
26. #35514C2semidirect
27. #34814C2semidirect
28. #34810C2semidirect
29. C2×#2428C2semidirect
30. #34265C2semidirect
31. #34253C2semidirect
32. #34210C2semidirect
33. #34204C2semidirect
34. #34204C2semidirect
35. #34181C2semidirect
36. C2×#553C22semidirect
50. #2797C22semidirect
51. #2797C22semidirect
52. #2786C22semidirect
53. #2782C22semidirect
54. #2781C22semidirect
55. #2779C22semidirect
56. #2778C22semidirect
57. #2778C22semidirect
58. #2757C22semidirect
59. #2756C22semidirect
60. #2753C22semidirect
61. #2750C22semidirect
62. #2749C22semidirect
63. #2749C22semidirect
64. #2714C22semidirect
65. #2714C22semidirect
66. #2711C22semidirect
67. #2708C22semidirect
68. #2703C22semidirect
69. #2703C22semidirect
70. #2691C22semidirect
71. #2691C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2603C22semidirect
75. #2603C22semidirect
76. #2602C22semidirect
77. #2600C22semidirect
78. #2600C22semidirect
79. #2598C22semidirect
80. #2595C22semidirect
81. #2591C22semidirect
82. #2579C22semidirect
83. #2578C22semidirect
84. #2576C22semidirect
86. #2559C22semidirect
87. #2544C22semidirect
88. #2544C22semidirect
89. #2543C22semidirect
90. #2543C22semidirect
91. #2541C22semidirect
92. #2541C22semidirect
93. #2537C22semidirect
94. #2537C22semidirect
95. #2535C22semidirect
96. #2535C22semidirect
97. #2535C22semidirect
99. #2531C22semidirect
100. #2513C22semidirect
101. #2513C22semidirect
102. #2513C22semidirect
103. #2513C22semidirect
104. #2512C22semidirect
105. #2512C22semidirect
106. #2512C22semidirect
107. #2512C22semidirect
108. #2510C22semidirect
109. #2509C22semidirect
110. #2509C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2507C22semidirect
114. #2507C22semidirect
115. #2506C22semidirect
116. #2506C22semidirect
117. #2504C22semidirect
118. #2504C22semidirect
119. #2503C22semidirect
120. #2502C22semidirect
121. #2501C22semidirect
122. #2500C22semidirect
123. #2500C22semidirect
124. #2499C22semidirect
125. #2499C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2495C22semidirect
133. #2495C22semidirect
134. #2494C22semidirect
135. #2494C22semidirect
138. #2490C22semidirect
139. #2481C22semidirect
144. #2476C22semidirect
145. #2468C22semidirect
146. #2467C22semidirect
147. #2464C22semidirect
148. #2464C22semidirect
149. #2460C22semidirect
150. #2457C22semidirect
151. #2456C22semidirect
152. #2456C22semidirect
153. #2447C22semidirect
154. #2447C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2444C22semidirect
158. #2444C22semidirect
159. #2444C22semidirect
160. #2443C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2428C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2427C22semidirect
179. #2427C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2422C22semidirect
183. #2422C22semidirect
184. #2420C22semidirect
185. #2420C22semidirect
186. #2420C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
202. #2401C22semidirect
203. #2401C22semidirect
204. #2395C22semidirect
205. #2395C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2366C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2366C22semidirect
215. #2366C22semidirect
216. #2364C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2363C22semidirect
223. #2361C22semidirect
224. #2361C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
227. #2361C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
231. #2353C22semidirect
233. #2349C22semidirect
234. #2349C22semidirect
235. #2349C22semidirect
236. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2347C22semidirect
242. #2346C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
251. #2328C22semidirect
252. #2328C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. #2324C22semidirect
256. #2324C22semidirect
258. #2320C22semidirect
259. #2319C22semidirect
269. C4×#127C22semidirect
270. C4×#127C22semidirect
271. C4×#126C22semidirect
272. C4×#126C22semidirect
273. C4×#123C22semidirect
274. C4×#123C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
284. #2295C22semidirect
285. #2293C22semidirect
1765. C2×C4#553semidirect

Maximal subgroups

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

subgroupindex
#596982
#596962
#596932
#596912
#594032
#594012
#593942
#593922
#593012
#590132
#451982
#450742
#450632
#450462
#450452
#450382
#450332
#450152
#430802
#430542
#355852
#355632
#355582
#355412
#355282
#355142
#348142
#348102
C2×#24282
#342652
#342532
#342102
#342042
#341812