Finite Group Databasebeta

← #7690093

Subgroups — #7690093

Order 512.

5534 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59837C214yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59488C212yesmaximal, complemented
4#59273C212yesmaximal, complemented
5#59235C211yesmaximal, characteristic, complemented
6#59219C211yesmaximal, characteristic, complemented
7#59094C212yesmaximal, complemented
8#59044C212yesmaximal, complemented
9#44974C212yesmaximal, complemented
10#44903C212yesmaximal, complemented
11#44059C214yesmaximal, complemented
12#43946C214yesmaximal, complemented
13#39530C212yesmaximal, complemented
14#39497C211yesmaximal, characteristic, complemented
15#39006C212yesmaximal, complemented
16#38910C211yesmaximal, characteristic, complemented
17#38741C214yesmaximal, complemented
18#37983C212yesmaximal, complemented
19#36494C212yesmaximal, complemented
20#36460C211yesmaximal, characteristic, complemented
21#36298C212yesmaximal, complemented
22#36262C212yesmaximal, complemented
23#36258C211yesmaximal, characteristic, complemented
24#36187C211yesmaximal, characteristic, complemented
25#36134C211yesmaximal, characteristic, complemented
26#36117C211yesmaximal, characteristic, complemented
27#36000C212yesmaximal, complemented
28#35823C212yesmaximal, complemented
29#34919C212yesmaximal, complemented
30#34724C211yesmaximal, characteristic, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34255C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#553C2211yescharacteristic
38C2×#551C2214yescomplemented
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#533C2212yescomplemented
42C2×#529C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#518C2212yes—
45C2×C4×#41C2211yescharacteristic
46#2868C2211yescharacteristic, complemented
47#2865C2214yescomplemented
48#2860C2212yescomplemented
49#2857C2212yescomplemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2854C2212yescomplemented
54#2801C2214yescomplemented
55#2800C2214yescomplemented
56#2790C2214yescomplemented
57#2772C2214yescomplemented
58#2768C2214yescomplemented
59#2765C2214yescomplemented
60#2752C2214yescomplemented
61#2746C2214yescomplemented
62#2744C2214yescomplemented
63#2735C2214yescomplemented
64#2730C2214yescomplemented
65#2729C2214yescomplemented
66#2723C2214yescomplemented
67#2711C2214yescomplemented
68#2707C2214yescomplemented
69#2706C2214yescomplemented
70#2701C2214yescomplemented
71#2695C2214yescomplemented
72#2685C2214yes—
73#2685C2214yescomplemented
74#2678C2214yes—
75#2651C2214yescomplemented
76#2630C2214yescomplemented
77#2629C2212yescomplemented
78#2624C2212yes—
79#2609C2214yescomplemented
80#2609C2214yescomplemented
81#2602C2214yescomplemented
82#2601C2214yescomplemented
83#2578C2214yescomplemented
84#2576C2214yescomplemented
85#2571C2211yescharacteristic, complemented
86#2566C2212yes—
87#2566C2212yescomplemented
88#2563C2212yescomplemented
89#2562C2212yescomplemented
90#2561C2214yescomplemented
91#2560C2214yescomplemented
92#2560C2214yescomplemented
93#2559C2214yescomplemented
94#2558C2214yescomplemented
95#2557C2214yescomplemented
96#2552C2211yescharacteristic, complemented
97#2552C2212yescomplemented
98#2550C2212yescomplemented
99#2548C2211yescharacteristic
100#2548C2211yescharacteristic
101#2545C2212yescomplemented
102#2542C2212yes—
103#2540C2212yes—
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2537C2212yescomplemented
107#2537C2212yescomplemented
108#2536C2212yescomplemented
109#2534C2214yescomplemented
110#2531C2214yescomplemented
111#2527C2214yescomplemented
112#2526C2214yescomplemented
113#2525C2214yescomplemented
114#2522C2214yescomplemented
115#2521C2214yescomplemented
116#2519C2214yescomplemented
117#2516C2214yescomplemented
118#2513C2212yescomplemented
119#2512C2212yescomplemented
120#2512C2212yescomplemented
121#2512C2212yescomplemented
122#2512C2212yescomplemented
123#2508C2212yescomplemented
124#2507C2212yescomplemented
125#2507C2212yescomplemented
126#2501C2212yescomplemented
127#2500C2212yescomplemented
128#2500C2212yescomplemented
129#2500C2212yescomplemented
130#2497C2212yescomplemented
131#2494C2212yescomplemented
132#2494C2212yescomplemented
133#2491C2212yescomplemented
134#2491C2212yescomplemented
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2490C2212yes—
138#2489C2212yescomplemented
139#2486C2212yescomplemented
140#2482C2214yescomplemented
141#2480C2214yescomplemented
142#2479C2214yescomplemented
143#2479C2214yescomplemented
144#2478C2212yescomplemented
145#2478C2214yescomplemented
146#2476C2214yescomplemented
147#2472C2214yescomplemented
148#2470C2214yescomplemented
149#2470C2212yescomplemented
150#2468C2214yescomplemented
151#2466C2214yescomplemented
152#2466C2212yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2461C2214yescomplemented
156#2458C2214yescomplemented
157#2457C2214yescomplemented
158#2455C2212yescomplemented
159#2454C2212yescomplemented
160#2453C2211yescharacteristic, complemented
161#2452C2212yes—
162#2448C2212yescomplemented
163#2447C2211yescharacteristic
164#2447C2212yescomplemented
165#2441C2214yescomplemented
166#2441C2211yescharacteristic, complemented
167#2440C2212yescomplemented
168#2439C2212yescomplemented
169#2437C2214yescomplemented
170#2435C2212yes—
171#2432C2211yescharacteristic
172#2429C2214yescomplemented
173#2429C2211yescharacteristic, complemented
174#2426C2212yes—
175#2426C2212yescomplemented
176#2426C2214yescomplemented
177#2425C2214yescomplemented
178#2424C2214yes—
179#2424C2214yescomplemented
180#2423C2212yescomplemented
181#2423C2212yescomplemented
182#2422C2212yes—
183#2422C2211yescharacteristic
184#2420C2212yes—
185#2420C2212yescomplemented
186#2418C2214yescomplemented
187#2417C2212yescomplemented
188#2416C2212yes—
189#2415C2211yescharacteristic, complemented
190#2414C2212yes—
191#2414C2212yes—
192#2411C2214yes—
193#2411C2214yescomplemented
194#2408C2212yes—
195#2408C2212yes—
196#2408C2212yes—
197#2407C2211yescharacteristic
198#2396C2214yescomplemented
199#2395C2212yescomplemented
200#2392C2214yescomplemented
201#2392C2212yescomplemented
202#2374C2212yescomplemented
203#2373C2212yescomplemented
204#2370C2211yescharacteristic, complemented
205#2370C2212yescomplemented
206#2367C2212yes—
207#2367C2212yescomplemented
208#2366C2211yescharacteristic
209#2365C2212yescomplemented
210#2364C2212yescomplemented
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2363C2212yescomplemented
214#2361C2212yes—
215#2361C2211yescharacteristic
216#2361C2212yescomplemented
217#2360C2212yescomplemented
218#2359C2214yescomplemented
219#2358C2214yes—
220#2357C2212yes—
221#2357C2211yescharacteristic
222#2357C2212yescomplemented
223#2357C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2354C2211yescharacteristic
226#2354C2212yes—
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yescomplemented
230#2354C2212yescomplemented
231#2354C2212yescomplemented
232#2354C2212yescomplemented
233#2354C2212yescomplemented
234#2353C2212yescomplemented
235#2352C2211yescharacteristic, complemented
236#2352C2212yescomplemented
237Q8×C4⋊C4C2211yescharacteristic, complemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239Q8×C4⋊C4C2211yescharacteristic, complemented
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yescomplemented
243#2347C2211yescharacteristic, complemented
244#2346C2214yescomplemented
245#2346C2212yescomplemented
246#2345C2211yescharacteristic, complemented
247#2344C2212yescomplemented
248#2342C2214yescomplemented
249#2342C2214yescomplemented
250#2342C2214yescomplemented
251#2342C2214yescomplemented
252#2341C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2334C2214yescomplemented
257#2324C2212yes—
258#2321C2214yes—
259#2319C2214yescomplemented
260#2319C2214yescomplemented
261#2317C2212yescomplemented
262#2314C2212yescomplemented
263#2309C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2211yescharacteristic
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×#124C2214yescomplemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yescomplemented
274C4×#123C2212yescomplemented
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2214yescomplemented
284#2293C2214yescomplemented
285#2293C2214yescomplemented
286C2×#390C2212yes—
287C2×#390C2212yes—
288#2285C2211yescharacteristic, complemented
289#2285C2212yescomplemented
290#2285C2211yescharacteristic, complemented
291#2274C2212yescomplemented
292C42×Q8C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302#555—48no—
303#553—28no—
304#551—416no—
305#546—48no—
306D42—28no—
307#533—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313#529—28no—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#518—216no—
362C4×#41—28no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C42C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2312yes—
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2314yes—
815#376C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2314yes—
820C25C2414yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—42no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869#127—24no—
870#126—28no—
871#126—28no—
872#126—48no—
873#126—48no—
874#126—48no—
875#125—24no—
876#125—24no—
877#125—44no—
878#125—48no—
879#124—28no—
880#124—24no—
881#124—216no—
882#124—44no—
883#124—48no—
884#123—28no—
885#123—28no—
886#123—28no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899#121—24no—
900#121—24no—
901#121—24no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—44no—
906#121—48no—
907#121—48no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#120—216no—
914#120—48no—
915#120—48no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—48no—
947C4×D4#4118yes—
948C4×D4#4118yescomplemented
949#117—28no—
950#117—24no—
951#117—28no—
952#117—24no—
953#117—28no—
954#117—28no—
955#117—48no—
956#117—44no—
957#117—48no—
958#117—48no—
959#117—48no—
960#117—48no—
961#117—44no—
962#117—42no—
963#117—44no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4—216no—
1034C2×C22⋊C4—216no—
1035C2×C22⋊C4—48no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C42—28no—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42—44no—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—28no—
1206C24—28no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24C2514yes—
1213C24C2511yescharacteristic
1214C24C2512yes—
1215C24C2512yes—
1216C24C2511yescharacteristic
1217#41—416no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—28no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8H(5,𝔽2)14yes—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—432no—
1252C2×D4—41no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—816no—
1269C2×D4C2×#4114yes—
1270C2×D4C2×#4114yes—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4C2×#4118yes—
1324C22×C4C2×#4118yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—41no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4C2×#4114yes—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4C2×#4118yes—
1485C22⋊C4C2×#4118yes—
1486C22⋊C4H(5,𝔽2)14yes—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—28no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—22no—
1502C42—24no—
1503C42—28no—
1504C42—24no—
1505C42—28no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—22no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—41no—
1516C42—44no—
1517C42—42no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42C2×#4114yes—
1523C42C2×#4114yes—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—24no—
1552C23—21no—
1553C23—24no—
1554C23—21no—
1555C23—24no—
1556C23—416no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—88no—
1561C23—164no—
1562C23—164no—
1563C23C22×#4114yes—
1564C23C22×#4114yes—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2611yescharacteristic
1567Q8—28no—
1568Q8—44no—
1569Q8—88no—
1570D4—28no—
1571D4—28no—
1572D4—44no—
1573D4—416no—
1574D4—48no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—48no—
1579D4—84no—
1580D4—84no—
1581D4—88no—
1582D4—88no—
1583D4—164no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—216no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—48no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—48no—
1670C2×C4—44no—
1671C2×C4—88no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—88no—
1677C2×C4—164no—
1678C2×C4C22×#4114yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4114yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)14yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4#58512yes—
1691C2×C4#58512yes—
1692C22—24no—
1693C22—22no—
1694C22—24no—
1695C22—22no—
1696C22—24no—
1697C22—24no—
1698C22—22no—
1699C22—24no—
1700C22—24no—
1701C22—41no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
1713C22—44no—
1714C22—41no—
1715C22—41no—
1716C22—44no—
1717C22—44no—
1718C22—41no—
1719C22—41no—
1720C22—44no—
1721C22—44no—
1722C22—41no—
1723C22—41no—
1724C22—44no—
1725C22—41no—
1726C22—44no—
1727C22—1616no—
1728C22C23×#4111yescharacteristic
1729C22C23×#4111yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22C2×#58511yescharacteristic
1734C222−1+611yescharacteristic
1735C4—22no—
1736C4—24no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—24no—
1741C4—22no—
1742C4—24no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4—44no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—41no—
1763C4#347514yes—
1764C4#349414yes—
1765C2—42no—
1766C2—44no—
1767C2—44no—
1768C2—81no—
1769C2—84no—
1770C2C2×#347511yescharacteristic
1771C2C2×#349411yescharacteristic
1772C2#6280011yescharacteristic
1773C2#6296811yescharacteristic
1774C2#6298411yescharacteristic
1775C2#6298511yescharacteristic
1776C2#6301411yescharacteristic
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. #59837C2semidirect
2. #59679C2semidirect
3. #59488C2semidirect
4. #59273C2semidirect
5. #59235C2semidirect
6. #59219C2semidirect
7. #59094C2semidirect
8. #59044C2semidirect
9. #44974C2semidirect
10. #44903C2semidirect
11. #44059C2semidirect
12. #43946C2semidirect
13. #39530C2semidirect
14. #39497C2semidirect
15. #39006C2semidirect
16. #38910C2semidirect
17. #38741C2semidirect
18. #37983C2semidirect
19. #36494C2semidirect
20. #36460C2semidirect
21. #36298C2semidirect
22. #36262C2semidirect
23. #36258C2semidirect
24. #36187C2semidirect
25. #36134C2semidirect
26. #36117C2semidirect
27. #36000C2semidirect
28. #35823C2semidirect
29. #34919C2semidirect
30. #34724C2semidirect
31. #34310C2semidirect
32. #34255C2semidirect
33. #34243C2semidirect
34. C4×#553C2semidirect
35. #34129C2semidirect
36. C2×#555C22semidirect
38. C2×#551C22semidirect
41. C2×#533C22semidirect
43. C2×#529C22semidirect
46. #2868C22semidirect
47. #2865C22semidirect
48. #2860C22semidirect
49. #2857C22semidirect
53. #2854C22semidirect
54. #2801C22semidirect
55. #2800C22semidirect
56. #2790C22semidirect
57. #2772C22semidirect
58. #2768C22semidirect
59. #2765C22semidirect
60. #2752C22semidirect
61. #2746C22semidirect
62. #2744C22semidirect
63. #2735C22semidirect
64. #2730C22semidirect
65. #2729C22semidirect
66. #2723C22semidirect
67. #2711C22semidirect
68. #2707C22semidirect
69. #2706C22semidirect
70. #2701C22semidirect
71. #2695C22semidirect
73. #2685C22semidirect
75. #2651C22semidirect
76. #2630C22semidirect
77. #2629C22semidirect
79. #2609C22semidirect
80. #2609C22semidirect
81. #2602C22semidirect
82. #2601C22semidirect
83. #2578C22semidirect
84. #2576C22semidirect
85. #2571C22semidirect
87. #2566C22semidirect
88. #2563C22semidirect
89. #2562C22semidirect
90. #2561C22semidirect
91. #2560C22semidirect
92. #2560C22semidirect
93. #2559C22semidirect
94. #2558C22semidirect
95. #2557C22semidirect
96. #2552C22semidirect
97. #2552C22semidirect
98. #2550C22semidirect
101. #2545C22semidirect
106. #2537C22semidirect
107. #2537C22semidirect
108. #2536C22semidirect
109. #2534C22semidirect
110. #2531C22semidirect
111. #2527C22semidirect
112. #2526C22semidirect
113. #2525C22semidirect
114. #2522C22semidirect
115. #2521C22semidirect
116. #2519C22semidirect
117. #2516C22semidirect
118. #2513C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2512C22semidirect
123. #2508C22semidirect
124. #2507C22semidirect
125. #2507C22semidirect
126. #2501C22semidirect
127. #2500C22semidirect
128. #2500C22semidirect
129. #2500C22semidirect
130. #2497C22semidirect
131. #2494C22semidirect
132. #2494C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
138. #2489C22semidirect
139. #2486C22semidirect
140. #2482C22semidirect
141. #2480C22semidirect
142. #2479C22semidirect
143. #2479C22semidirect
144. #2478C22semidirect
145. #2478C22semidirect
146. #2476C22semidirect
147. #2472C22semidirect
148. #2470C22semidirect
149. #2470C22semidirect
150. #2468C22semidirect
151. #2466C22semidirect
152. #2466C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2461C22semidirect
156. #2458C22semidirect
157. #2457C22semidirect
158. #2455C22semidirect
159. #2454C22semidirect
160. #2453C22semidirect
162. #2448C22semidirect
164. #2447C22semidirect
165. #2441C22semidirect
166. #2441C22semidirect
167. #2440C22semidirect
168. #2439C22semidirect
169. #2437C22semidirect
172. #2429C22semidirect
173. #2429C22semidirect
175. #2426C22semidirect
176. #2426C22semidirect
177. #2425C22semidirect
179. #2424C22semidirect
180. #2423C22semidirect
181. #2423C22semidirect
185. #2420C22semidirect
186. #2418C22semidirect
187. #2417C22semidirect
189. #2415C22semidirect
193. #2411C22semidirect
198. #2396C22semidirect
199. #2395C22semidirect
200. #2392C22semidirect
201. #2392C22semidirect
202. #2374C22semidirect
203. #2373C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
207. #2367C22semidirect
209. #2365C22semidirect
210. #2364C22semidirect
213. #2363C22semidirect
216. #2361C22semidirect
217. #2360C22semidirect
218. #2359C22semidirect
222. #2357C22semidirect
223. #2357C22semidirect
224. #2355C22semidirect
229. #2354C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
234. #2353C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. Q8×C4⋊C4C22semidirect
238. Q8×C4⋊C4C22semidirect
239. Q8×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. #2347C22semidirect
244. #2346C22semidirect
245. #2346C22semidirect
246. #2345C22semidirect
247. #2344C22semidirect
248. #2342C22semidirect
249. #2342C22semidirect
250. #2342C22semidirect
251. #2342C22semidirect
256. #2334C22semidirect
259. #2319C22semidirect
260. #2319C22semidirect
261. #2317C22semidirect
262. #2314C22semidirect
264. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
267. C4×#126C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#123C22semidirect
274. C4×#123C22semidirect
279. C4×#121C22semidirect
280. #2296C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
288. #2285C22semidirect
289. #2285C22semidirect
290. #2285C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
948. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598372
#596792
#594882
#592732
#592352
#592192
#590942
#590442
#449742
#449032
#440592
#439462
#395302
#394972
#390062
#389102
#387412
#379832
#364942
#364602
#362982
#362622
#362582
#361872
#361342
#361172
#360002
#358232
#349192
#347242
#343102
#342552
#342432
C4×#5532
#341292