Finite Group Databasebeta

← #7979686

Subgroups — #7979686

Order 512.

5387 conjugacy classes of subgroups.

The subgroup lattice has 1803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59903C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#59103C212yesmaximal, complemented
5#59078C211yesmaximal, characteristic, complemented
6#49197C214yesmaximal, complemented
7#48933C214yesmaximal, complemented
8#46061C212yesmaximal, complemented
9#46044C212yesmaximal, complemented
10#45023C212yesmaximal, complemented
11#45020C212yesmaximal, complemented
12#44150C214yesmaximal, complemented
13#42974C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#42116C214yesmaximal, complemented
16#40174C212yesmaximal, complemented
17#40025C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39046C212yesmaximal, complemented
21#39034C212yesmaximal, complemented
22#38987C211yesmaximal, characteristic, complemented
23#36583C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36399C212yesmaximal, complemented
26#36315C211yesmaximal, characteristic, complemented
27#36121C211yesmaximal, characteristic, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35285C211yesmaximal, characteristic, complemented
30#35191C212yesmaximal, complemented
31#35186C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34478C212yesmaximal, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#552C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2212yescomplemented
44C22×#127C2211yescharacteristic
45C2×#529C2212yescomplemented
46C2×C4×#41C2211yescharacteristic, complemented
47#2861C2212yescomplemented
48#2861C2212yescomplemented
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2858C2212yescomplemented
54#2857C2211yescharacteristic
55#2856C2211yescharacteristic
56#2854C2212yescomplemented
57#2854C2212yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2800C2214yescomplemented
63#2786C2214yescomplemented
64#2781C2214yescomplemented
65#2780C2214yescomplemented
66#2761C2214yescomplemented
67#2756C2214yescomplemented
68#2741C2214yescomplemented
69#2740C2214yescomplemented
70#2735C2214yes—
71#2735C2214yes—
72#2730C2214yescomplemented
73#2726C2214yescomplemented
74#2711C2214yescomplemented
75#2711C2214yescomplemented
76#2710C2214yescomplemented
77#2708C2214yescomplemented
78#2707C2214yescomplemented
79#2706C2214yescomplemented
80#2705C2214yescomplemented
81#2704C2214yes—
82#2699C2214yescomplemented
83#2697C2214yes—
84#2697C2214yes—
85#2686C2214yescomplemented
86#2685C2214yes—
87#2685C2214yes—
88#2682C2214yescomplemented
89#2678C2214yes—
90#2678C2214yes—
91#2673C2214yes—
92#2672C2214yescomplemented
93#2661C2214yescomplemented
94#2661C2214yescomplemented
95#2651C2214yescomplemented
96#2651C2214yescomplemented
97#2649C2214yescomplemented
98#2644C2212yescomplemented
99#2641C2214yes—
100#2630C2214yescomplemented
101#2629C2212yes—
102#2610C2214yescomplemented
103#2603C2214yescomplemented
104#2603C2214yescomplemented
105#2602C2214yescomplemented
106#2602C2214yescomplemented
107#2584C2212yescomplemented
108#2582C2211yescharacteristic, complemented
109#2582C2212yescomplemented
110#2557C2214yescomplemented
111#2554C2214yescomplemented
112#2553C2214yescomplemented
113#2552C2211yescharacteristic, complemented
114#2548C2211yescharacteristic
115#2548C2211yescharacteristic
116#2548C2212yes—
117#2548C2211yescharacteristic
118#2548C2211yescharacteristic
119#2548C2211yescharacteristic
120#2548C2212yes—
121#2548C2212yescomplemented
122#2548C2212yescomplemented
123#2547C2212yescomplemented
124#2547C2212yescomplemented
125#2547C2211yescharacteristic, complemented
126#2546C2211yescharacteristic, complemented
127#2546C2212yescomplemented
128#2545C2212yescomplemented
129#2545C2212yescomplemented
130#2545C2212yescomplemented
131#2544C2212yes—
132#2544C2212yescomplemented
133#2543C2214yescomplemented
134#2541C2212yes—
135#2541C2211yescharacteristic
136#2534C2214yes—
137#2531C2214yes—
138#2531C2214yescomplemented
139#2531C2214yescomplemented
140#2529C2214yescomplemented
141#2526C2214yescomplemented
142#2521C2214yescomplemented
143#2518C2214yescomplemented
144#2513C2212yescomplemented
145#2513C2212yescomplemented
146#2512C2212yescomplemented
147#2512C2212yescomplemented
148#2501C2212yescomplemented
149#2500C2212yescomplemented
150#2497C2212yescomplemented
151#2490C2214yescomplemented
152#2490C2214yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yes—
158#2485C2212yes—
159#2480C2214yes—
160#2480C2214yes—
161#2479C2214yescomplemented
162#2477C2212yes—
163#2476C2214yescomplemented
164#2475C2212yescomplemented
165#2471C2214yescomplemented
166#2470C2214yescomplemented
167#2468C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2212yes—
170#2460C2212yescomplemented
171#2460C2214yescomplemented
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2452C2211yescharacteristic, complemented
177#2451C2212yescomplemented
178#2448C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2446C2211yescharacteristic, complemented
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2439C2211yescharacteristic, complemented
191#2435C2212yes—
192#2435C2214yes—
193#2435C2212yes—
194#2435C2212yes—
195#2433C2212yes—
196#2432C2211yescharacteristic, complemented
197#2432C2212yescomplemented
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yescomplemented
201#2429C2212yes—
202#2429C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2211yescharacteristic
207#2426C2212yes—
208#2426C2212yescomplemented
209#2425C2214yescomplemented
210#2422C2212yescomplemented
211#2421C2211yescharacteristic
212#2420C2214yescomplemented
213#2418C2214yes—
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2211yescharacteristic
217#2414C2214yescomplemented
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2410C2214yes—
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yescomplemented
226#2398C2212yescomplemented
227#2392C2212yes—
228#2392C2214yescomplemented
229#2377C2214yescomplemented
230#2375C2214yes—
231#2374C2214yescomplemented
232#2373C2212yes—
233#2372C2214yescomplemented
234#2371C2212yescomplemented
235#2370C2211yescharacteristic, complemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2211yescharacteristic
240#2365C2211yescharacteristic, complemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2362C2211yescharacteristic
244#2361C2212yescomplemented
245#2360C2211yescharacteristic, complemented
246#2359C2212yes—
247#2356C2211yescharacteristic, complemented
248#2354C2212yes—
249#2354C2212yescomplemented
250#2354C2211yescharacteristic, complemented
251#2352C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2346C2211yescharacteristic
254#2346C2212yescomplemented
255#2344C2211yescharacteristic, complemented
256#2343C2212yescomplemented
257#2342C2214yes—
258#2341C2212yescomplemented
259#2341C2212yescomplemented
260#2341C2212yescomplemented
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2212yes—
264#2335C2214yescomplemented
265#2326C2212yescomplemented
266#2324C2214yescomplemented
267#2324C2214yescomplemented
268#2323C2212yes—
269#2321C2214yes—
270#2319C2212yescomplemented
271#2319C2212yescomplemented
272#2312C2214yes—
273#2309C2212yes—
274#2309C2212yes—
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic, complemented
277C4×#125C2212yescomplemented
278C4×#126C2212yes—
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#123C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2297C2212yescomplemented
290#2297C2212yescomplemented
291#2295C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2290C2212yes—
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#557—44no—
306#552—28no—
307#550—44no—
308#546—216no—
309#546—48no—
310#533—44no—
311#532—44no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326#529—48no—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2311yescharacteristic
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C4×#41—44no—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2314yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#395C2314yes—
478#394C2314yes—
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#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
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#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#383C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2314yes—
730#382C2311yescharacteristic
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2414yes—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2414yes—
878C23×C4C2412yes—
879C4⋊Q8—24no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#126—28no—
892#126—48no—
893#126—84no—
894#125—28no—
895#125—24no—
896#125—44no—
897#125—44no—
898#125—44no—
899#125—48no—
900#124—28no—
901#124—48no—
902#124—44no—
903#124—44no—
904#124—42no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—84no—
912#123—216no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—84no—
917#123—84no—
918#123—84no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—44no—
926C22⋊Q8#4118yescomplemented
927#121—28no—
928#121—28no—
929#121—216no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—42no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—48no—
940#121—48no—
941#121—82no—
942#120—216no—
943#120—48no—
944#120—84no—
945C4×Q8—24no—
946C4×Q8—24no—
947C4×Q8—24no—
948C4×Q8—24no—
949C4×Q8—44no—
950C4×Q8—42no—
951C4×Q8—44no—
952C4×Q8—42no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—28no—
960C4×D4—24no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—82no—
975#117—24no—
976#117—28no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—48no—
981#117—42no—
982#117—44no—
983#117—42no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C22⋊C4—216no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C42—28no—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42—44no—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2414yes—
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—28no—
1216C24—44no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24C2514yes—
1223C24C2514yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227#41—416no—
1228#41—816no—
1229#41—816no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8C2×#4114yes—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—28no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—42no—
1273C2×D4—41no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—816no—
1303C2×D4—816no—
1304C2×D4—816no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—22no—
1327C22×C4—28no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—41no—
1338C22×C4—44no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4C2×#4114yes—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4C2×#4114yes—
1438C4⋊C4C2×#4118yes—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—22no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—41no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4C2×#4118yes—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—24no—
1515C42—22no—
1516C42—24no—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—24no—
1527C42—24no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—44no—
1536C42—44no—
1537C42—41no—
1538C42—41no—
1539C42—42no—
1540C42—44no—
1541C42—44no—
1542C42—42no—
1543C42—42no—
1544C42H(5,𝔽2)14yes—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23—22no—
1578C23—88no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—164no—
1584C23—164no—
1585C23C22×#4112yes—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2611yescharacteristic
1588Q8—28no—
1589Q8—44no—
1590Q8—44no—
1591Q8—48no—
1592Q8—84no—
1593D4—48no—
1594D4—44no—
1595D4—48no—
1596D4—48no—
1597D4—48no—
1598D4—48no—
1599D4—48no—
1600D4—44no—
1601D4—88no—
1602D4—88no—
1603D4—84no—
1604D4—88no—
1605D4—88no—
1606D4—84no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—164no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
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—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—48no—
1697C2×C4—44no—
1698C2×C4—88no—
1699C2×C4—82no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—164no—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4114yes—
1707C2×C4C22×#4114yes—
1708C2×C4C22×#4112yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4#58512yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—44no—
1733C22—44no—
1734C22—42no—
1735C22—44no—
1736C22—44no—
1737C22—42no—
1738C22—44no—
1739C22—44no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—44no—
1751C22—44no—
1752C22—1616no—
1753C22C23×#4111yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22H(7,𝔽2)11yescharacteristic
1760C4—22no—
1761C4—24no—
1762C4—24no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—41no—
1783C4—44no—
1784C4—42no—
1785C4—41no—
1786C4—44no—
1787C4—42no—
1788C4#351414yes—
1789C4#354214yes—
1790C2—42no—
1791C2—42no—
1792C2—82no—
1793C2—84no—
1794C2—84no—
1795C2C2×#354211yescharacteristic
1796C2C2×#351411yescharacteristic
1797C2#6280011yescharacteristic
1798C2#6292411yescharacteristic
1799C2#6295511yescharacteristic
1800C2#6300611yescharacteristic
1801C2#6303611yescharacteristic
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. #59903C2semidirect
2. #59646C2semidirect
3. #59124C2semidirect
4. #59103C2semidirect
5. #59078C2semidirect
6. #49197C2semidirect
7. #48933C2semidirect
8. #46061C2semidirect
9. #46044C2semidirect
10. #45023C2semidirect
11. #45020C2semidirect
12. #44150C2semidirect
13. #42974C2semidirect
14. #42838C2semidirect
15. #42116C2semidirect
16. #40174C2semidirect
17. #40025C2semidirect
18. #39888C2semidirect
19. #39599C2semidirect
20. #39046C2semidirect
21. #39034C2semidirect
22. #38987C2semidirect
23. #36583C2semidirect
24. #36410C2semidirect
25. #36399C2semidirect
26. #36315C2semidirect
27. #36121C2semidirect
28. #36117C2semidirect
29. #35285C2semidirect
30. #35191C2semidirect
31. #35186C2semidirect
32. #34937C2semidirect
33. #34720C2semidirect
34. #34478C2semidirect
35. C4×#552C2semidirect
36. C2×#557C22semidirect
43. C2×#532C22semidirect
45. C2×#529C22semidirect
46. C2×C4×#41C22semidirect
47. #2861C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
53. #2858C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2800C22semidirect
63. #2786C22semidirect
64. #2781C22semidirect
65. #2780C22semidirect
66. #2761C22semidirect
67. #2756C22semidirect
68. #2741C22semidirect
69. #2740C22semidirect
72. #2730C22semidirect
73. #2726C22semidirect
74. #2711C22semidirect
75. #2711C22semidirect
76. #2710C22semidirect
77. #2708C22semidirect
78. #2707C22semidirect
79. #2706C22semidirect
80. #2705C22semidirect
82. #2699C22semidirect
85. #2686C22semidirect
88. #2682C22semidirect
92. #2672C22semidirect
93. #2661C22semidirect
94. #2661C22semidirect
95. #2651C22semidirect
96. #2651C22semidirect
97. #2649C22semidirect
98. #2644C22semidirect
100. #2630C22semidirect
102. #2610C22semidirect
103. #2603C22semidirect
104. #2603C22semidirect
105. #2602C22semidirect
106. #2602C22semidirect
107. #2584C22semidirect
108. #2582C22semidirect
109. #2582C22semidirect
110. #2557C22semidirect
111. #2554C22semidirect
112. #2553C22semidirect
113. #2552C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2547C22semidirect
124. #2547C22semidirect
125. #2547C22semidirect
126. #2546C22semidirect
127. #2546C22semidirect
128. #2545C22semidirect
129. #2545C22semidirect
130. #2545C22semidirect
132. #2544C22semidirect
133. #2543C22semidirect
138. #2531C22semidirect
139. #2531C22semidirect
140. #2529C22semidirect
141. #2526C22semidirect
142. #2521C22semidirect
143. #2518C22semidirect
144. #2513C22semidirect
145. #2513C22semidirect
146. #2512C22semidirect
147. #2512C22semidirect
148. #2501C22semidirect
149. #2500C22semidirect
150. #2497C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
161. #2479C22semidirect
163. #2476C22semidirect
164. #2475C22semidirect
165. #2471C22semidirect
166. #2470C22semidirect
167. #2468C22semidirect
168. #2464C22semidirect
170. #2460C22semidirect
171. #2460C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2452C22semidirect
177. #2451C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2446C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2439C22semidirect
196. #2432C22semidirect
197. #2432C22semidirect
200. #2431C22semidirect
208. #2426C22semidirect
209. #2425C22semidirect
210. #2422C22semidirect
212. #2420C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
225. #2407C22semidirect
226. #2398C22semidirect
228. #2392C22semidirect
229. #2377C22semidirect
231. #2374C22semidirect
233. #2372C22semidirect
234. #2371C22semidirect
235. #2370C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
240. #2365C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
247. #2356C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
252. Q8×C4⋊C4C22semidirect
254. #2346C22semidirect
255. #2344C22semidirect
256. #2343C22semidirect
258. #2341C22semidirect
259. #2341C22semidirect
260. #2341C22semidirect
264. #2335C22semidirect
265. #2326C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
270. #2319C22semidirect
271. #2319C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2297C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
926. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599032
#596462
#591242
#591032
#590782
#491972
#489332
#460612
#460442
#450232
#450202
#441502
#429742
#428382
#421162
#401742
#400252
#398882
#395992
#390462
#390342
#389872
#365832
#364102
#363992
#363152
#361212
#361172
#352852
#351912
#351862
#349372
#347202
#344782
C4×#5522