Finite Group Databasebeta

← #7968328

Subgroups — #7968328

Order 512.

6239 conjugacy classes of subgroups.

The subgroup lattice has 1953 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59412C211yesmaximal, characteristic, complemented
3#59303C211yesmaximal, characteristic, complemented
4#59219C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#48406C214yesmaximal, complemented
7#48396C214yesmaximal, complemented
8#45642C212yesmaximal, complemented
9#45623C212yesmaximal, complemented
10#45377C212yesmaximal, complemented
11#45367C212yesmaximal, complemented
12#43022C214yesmaximal, complemented
13#42581C212yesmaximal, complemented
14#42556C212yesmaximal, complemented
15#40661C214yesmaximal, complemented
16#40221C212yesmaximal, complemented
17#39885C212yesmaximal, complemented
18#39733C212yesmaximal, complemented
19#39358C212yesmaximal, complemented
20#38975C211yesmaximal, characteristic, complemented
21#38910C211yesmaximal, characteristic, complemented
22#38123C212yesmaximal, complemented
23#36576C211yesmaximal, characteristic, complemented
24#36464C211yesmaximal, characteristic, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#36097C212yesmaximal, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35197C211yesmaximal, characteristic, complemented
31#35000C212yesmaximal, complemented
32C2×#2538C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34471C212yesmaximal, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#548C2212yescomplemented
39C2×#546C2212yescomplemented
40C2×D42C2211yescharacteristic
41C2×D42C2212yes—
42C2×D42C2211yescharacteristic, complemented
43C2×#534C2214yescomplemented
44C2×#529C2211yescharacteristic, complemented
45C2×#525C2212yescomplemented
46C22×C22⋊Q8C2212yescomplemented
47C22×#121C2212yescomplemented
48C22×C4×Q8C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2212yescomplemented
51C22×C4×D4C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2856C2211yescharacteristic, complemented
54#2856C2211yescharacteristic, complemented
55#2856C2212yescomplemented
56#2854C2212yescomplemented
57#2854C2212yescomplemented
58#2850C2212yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2847C2212yescomplemented
63#2827C2214yescomplemented
64#2825C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2800C2214yescomplemented
68#2795C2214yescomplemented
69#2786C2214yescomplemented
70#2780C2214yescomplemented
71#2778C2214yescomplemented
72#2765C2214yescomplemented
73#2761C2214yescomplemented
74#2757C2214yescomplemented
75#2756C2214yescomplemented
76#2750C2214yescomplemented
77#2750C2214yescomplemented
78#2749C2214yescomplemented
79#2735C2214yescomplemented
80#2707C2214yescomplemented
81#2705C2214yescomplemented
82#2701C2214yescomplemented
83#2697C2214yescomplemented
84#2697C2214yescomplemented
85#2695C2214yescomplemented
86#2693C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2682C2214yescomplemented
90#2681C2214yescomplemented
91#2679C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2644C2212yescomplemented
101#2636C2214yescomplemented
102#2630C2214yescomplemented
103#2624C2212yescomplemented
104#2618C2214yescomplemented
105#2617C2214yescomplemented
106#2617C2214yescomplemented
107#2602C2214yescomplemented
108#2591C2214yescomplemented
109#2587C2214yescomplemented
110#2571C2211yescharacteristic, complemented
111#2566C2212yescomplemented
112#2562C2212yescomplemented
113#2558C2214yescomplemented
114#2554C2214yescomplemented
115#2548C2212yescomplemented
116#2548C2211yescharacteristic, complemented
117#2543C2214yescomplemented
118#2543C2214yescomplemented
119#2541C2211yescharacteristic
120#2540C2212yescomplemented
121#2540C2212yescomplemented
122#2538C2211yescharacteristic, complemented
123#2538C2214yescomplemented
124#2538C2211yescharacteristic, complemented
125#2538C2212yescomplemented
126#2538C2212yescomplemented
127#2538C2212yescomplemented
128#2538C2212yescomplemented
129#2538C2212yescomplemented
130#2538C2211yescharacteristic, complemented
131#2538C2211yescharacteristic, complemented
132#2538C2211yescharacteristic, complemented
133#2537C2211yescharacteristic
134#2537C2211yescharacteristic, complemented
135#2536C2212yescomplemented
136#2535C2212yescomplemented
137#2534C2214yescomplemented
138#2534C2214yescomplemented
139#2534C2214yescomplemented
140#2518C2214yescomplemented
141#2513C2212yescomplemented
142#2512C2212yescomplemented
143#2512C2212yescomplemented
144#2510C2214yescomplemented
145#2507C2212yescomplemented
146#2507C2212yescomplemented
147#2504C2212yescomplemented
148#2500C2212yescomplemented
149#2500C2212yescomplemented
150#2500C2212yescomplemented
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2497C2212yescomplemented
154#2495C2212yescomplemented
155#2494C2212yescomplemented
156#2494C2212yescomplemented
157#2490C2212yescomplemented
158#2487C2212yescomplemented
159#2486C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2481C2212yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2470C2214yescomplemented
166#2469C2212yescomplemented
167#2463C2214yescomplemented
168#2461C2214yescomplemented
169#2458C2212yescomplemented
170#2457C2214yescomplemented
171#2456C2214yescomplemented
172#2453C2211yescharacteristic, complemented
173#2449C2214yescomplemented
174#2448C2211yescharacteristic, complemented
175#2445C2212yes—
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2444C2214yescomplemented
179#2443C2214yescomplemented
180#2443C2212yescomplemented
181#2443C2214yescomplemented
182#2442C2211yescharacteristic, complemented
183#2437C2214yescomplemented
184#2436C2211yescharacteristic, complemented
185#2435C2212yescomplemented
186#2433C2212yes—
187#2433C2212yescomplemented
188#2428C2212yes—
189#2428C2212yescomplemented
190#2427C2212yescomplemented
191#2426C2214yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2211yescharacteristic, complemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2422C2212yes—
199#2422C2212yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2421C2211yescharacteristic, complemented
204#2420C2212yescomplemented
205#2417C2212yescomplemented
206#2416C2211yescharacteristic
207#2416C2212yescomplemented
208#2416C2214yescomplemented
209#2416C2214yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2411C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2214yescomplemented
222#2410C2214yescomplemented
223#2409C2211yescharacteristic, complemented
224#2408C2212yes—
225#2408C2212yescomplemented
226#2408C2212yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2398C2212yescomplemented
232#2396C2212yescomplemented
233C2×#396C2214yescomplemented
234#2377C2214yescomplemented
235#2375C2214yescomplemented
236#2366C2211yescharacteristic
237#2366C2212yescomplemented
238#2363C2212yescomplemented
239#2361C2211yescharacteristic
240#2361C2214yescomplemented
241#2361C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2361C2212yescomplemented
245#2361C2211yescharacteristic, complemented
246#2360C2212yescomplemented
247#2358C2214yescomplemented
248#2358C2212yescomplemented
249#2358C2212yescomplemented
250#2357C2212yescomplemented
251#2354C2211yescharacteristic, complemented
252#2354C2211yescharacteristic, complemented
253#2352C2212yescomplemented
254#2352C2212yescomplemented
255Q8×C4⋊C4C2211yescharacteristic, complemented
256D4×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2211yescharacteristic, complemented
258D4×C4⋊C4C2211yescharacteristic, complemented
259#2347C2212yescomplemented
260#2341C2212yescomplemented
261D4×C22⋊C4C2211yescharacteristic
262D4×C22⋊C4C2212yescomplemented
263D4×C22⋊C4C2214yescomplemented
264D4×C22⋊C4C2212yescomplemented
265D4×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2211yescharacteristic, complemented
267#2333C2214yescomplemented
268#2328C2212yescomplemented
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2321C2214yescomplemented
272#2321C2214yescomplemented
273#2319C2212yescomplemented
274#2319C2212yescomplemented
275#2309C2212yescomplemented
276#2308C2214yescomplemented
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yescomplemented
289C4×#120C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291C2×#390C2212yes—
292C2×#389C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296C2×#380C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2314yes—
303C23×D4C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308C24×C4C2312yes—
309#553—48no—
310#550—44no—
311#548—48no—
312#546—48no—
313D42—28no—
314D42—216no—
315D42—44no—
316#534—416no—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330#525—48no—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8—48no—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121—48no—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2312yes—
384C2×#120C2312yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×C4×Q8—44no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×D4—44no—
401C2×C4×D4—44no—
402C2×C4×D4—48no—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2314yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2314yes—
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2312yes—
464C22×C42C2312yes—
465#401C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2312yes—
469#400C2314yes—
470#400C2312yes—
471#400C2312yes—
472#400C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2312yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#395C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#393C2312yes—
547#393C2312yes—
548#393C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#383C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2312yes—
785#379C2314yes—
786#379C2312yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823#376C2312yes—
824C2×#95C2314yes—
825C43C2311yescharacteristic
826C25C2412yes—
827C25C2412yes—
828C25C2414yes—
829C2×#41—28no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—42no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×D4—28no—
839C22×D4—216no—
840C22×D4—24no—
841C22×D4—28no—
842C22×D4—28no—
843C22×D4—42no—
844C22×D4—42no—
845C22×D4—42no—
846C22×D4—42no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4#4118yescomplemented
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C23×C4—28no—
883C23×C4—44no—
884C23×C4—44no—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4—44no—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912#127—24no—
913#127—28no—
914#127—24no—
915#127—44no—
916#126—44no—
917#126—48no—
918#125—42no—
919#125—44no—
920#124—24no—
921#124—42no—
922#124—44no—
923#124—48no—
924#123—48no—
925#123—48no—
926#123—44no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—48no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—42no—
941C22⋊Q8—44no—
942#121—24no—
943#121—28no—
944#121—28no—
945#121—216no—
946#121—28no—
947#121—216no—
948#121—24no—
949#121—28no—
950#121—24no—
951#121—28no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—42no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—44no—
971#121—44no—
972#120—28no—
973#120—216no—
974#120—28no—
975#120—216no—
976#120—48no—
977#120—48no—
978#120—48no—
979#120—48no—
980#120—48no—
981#120—48no—
982#120—48no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—44no—
986C4×Q8—44no—
987C4×Q8—42no—
988C4×Q8—42no—
989C4×Q8—44no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—28no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—44no—
1009C4×D4—42no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—48no—
1021C4×D4—48no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—48no—
1025C4×D4—48no—
1026#117—44no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4—42no—
1032C2×C4⋊C4—42no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—42no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—48no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4—48no—
1100C2×C22⋊C4—48no—
1101C2×C22⋊C4—44no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C42—24no—
1183C2×C42—24no—
1184C2×C42—44no—
1185C2×C42—44no—
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2411yescharacteristic
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259C24—24no—
1260C24—24no—
1261C24—24no—
1262C24—24no—
1263C24—28no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—42no—
1271C24—44no—
1272C24—42no—
1273C24—42no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24—44no—
1279C24C2×#4118yes—
1280C24C2512yes—
1281C24C2512yes—
1282C24C2514yes—
1283C24C2512yes—
1284C24C2512yes—
1285C24C2511yescharacteristic
1286C24C2511yescharacteristic
1287#41—816no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—42no—
1296C2×Q8—416no—
1297C2×Q8H(5,𝔽2)14yes—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—28no—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—416no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—432no—
1374C2×D4—416no—
1375C2×D4—816no—
1376C2×D4—816no—
1377C2×D4—832no—
1378C2×D4C2×#4114yes—
1379C2×D4C2×#4114yes—
1380C2×D4C2×#4118yes—
1381C2×D4H(5,𝔽2)14yes—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—44no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—816no—
1453C22×C4—816no—
1454C22×C4C2×#4114yes—
1455C22×C4H(5,𝔽2)14yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2514yes—
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2514yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—24no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C42—22no—
1619C42—24no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—42no—
1634C42—42no—
1635C42—42no—
1636C42—42no—
1637C42—41no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—44no—
1642C42H(5,𝔽2)14yes—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—21no—
1665C23—216no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—24no—
1673C23—24no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—24no—
1680C23—24no—
1681C23—22no—
1682C23—24no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—48no—
1688C23—48no—
1689C23—48no—
1690C23—48no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23—84no—
1696C23—84no—
1697C23—84no—
1698C23—88no—
1699C23—88no—
1700C23—88no—
1701C23—84no—
1702C23—84no—
1703C23—88no—
1704C23—88no—
1705C23—164no—
1706C23—164no—
1707C23C22×#4114yes—
1708C23C22×#4114yes—
1709C23C22×#4112yes—
1710C23C2×H(5,𝔽2)12yes—
1711C23C2×H(5,𝔽2)12yes—
1712C23C2×H(5,𝔽2)12yes—
1713C23C2611yescharacteristic
1714Q8—28no—
1715Q8—48no—
1716Q8—44no—
1717D4—28no—
1718D4—28no—
1719D4—28no—
1720D4—48no—
1721D4—48no—
1722D4—48no—
1723D4—48no—
1724D4—48no—
1725D4—416no—
1726D4—48no—
1727D4—44no—
1728D4—48no—
1729D4—44no—
1730D4—48no—
1731D4—84no—
1732D4—88no—
1733D4—88no—
1734D4—84no—
1735D4—88no—
1736D4—84no—
1737D4—88no—
1738D4—88no—
1739D4—88no—
1740D4—88no—
1741D4—164no—
1742D4—164no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—28no—
1754C2×C4—28no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—44no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—48no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—84no—
1833C2×C4—84no—
1834C2×C4—88no—
1835C2×C4—84no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—84no—
1839C2×C4—164no—
1840C2×C4C22×#4112yes—
1841C2×C4C22×#4112yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×H(5,𝔽2)12yes—
1845C2×C4C2×H(5,𝔽2)14yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4C2×H(5,𝔽2)12yes—
1848C2×C4C2×H(5,𝔽2)12yes—
1849C2×C4C2×H(5,𝔽2)12yes—
1850C2×C4#58512yes—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—24no—
1858C22—24no—
1859C22—22no—
1860C22—24no—
1861C22—24no—
1862C22—24no—
1863C22—24no—
1864C22—22no—
1865C22—22no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—41no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—41no—
1877C22—42no—
1878C22—42no—
1879C22—44no—
1880C22—42no—
1881C22—42no—
1882C22—44no—
1883C22—42no—
1884C22—44no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—44no—
1890C22—42no—
1891C22—42no—
1892C22—44no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—44no—
1898C22—42no—
1899C22—816no—
1900C22—816no—
1901C22—1616no—
1902C22#351914yes—
1903C22C23×#4111yescharacteristic
1904C22C22×H(5,𝔽2)11yescharacteristic
1905C22C22×H(5,𝔽2)11yescharacteristic
1906C22C22×H(5,𝔽2)11yescharacteristic
1907C22C22×H(5,𝔽2)11yescharacteristic
1908C22C2×#58511yescharacteristic
1909C222−1+611yescharacteristic
1910C4—22no—
1911C4—24no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—41no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4—41no—
1921C4—42no—
1922C4—44no—
1923C4—44no—
1924C4—41no—
1925C4—41no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—44no—
1930C4—41no—
1931C4—41no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—41no—
1936C4#350514yes—
1937C4#353714yes—
1938C2—24no—
1939C2—44no—
1940C2—42no—
1941C2—44no—
1942C2—82no—
1943C2—84no—
1944C2—82no—
1945C2C2×#353711yescharacteristic
1946C2C2×#350511yescharacteristic
1947C2C2×#351911yescharacteristic
1948C2#6291411yescharacteristic
1949C2#6296011yescharacteristic
1950C2#6298411yescharacteristic
1951C2#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. #59676C2semidirect
2. #59412C2semidirect
3. #59303C2semidirect
4. #59219C2semidirect
5. #58996C2semidirect
6. #48406C2semidirect
7. #48396C2semidirect
8. #45642C2semidirect
9. #45623C2semidirect
10. #45377C2semidirect
11. #45367C2semidirect
12. #43022C2semidirect
13. #42581C2semidirect
14. #42556C2semidirect
15. #40661C2semidirect
16. #40221C2semidirect
17. #39885C2semidirect
18. #39733C2semidirect
19. #39358C2semidirect
20. #38975C2semidirect
21. #38910C2semidirect
22. #38123C2semidirect
23. #36576C2semidirect
24. #36464C2semidirect
25. #36182C2semidirect
26. #36101C2semidirect
27. #36097C2semidirect
28. D4×#121C2semidirect
29. #35236C2semidirect
30. #35197C2semidirect
31. #35000C2semidirect
32. C2×#2538C2semidirect
33. #34708C2semidirect
34. #34471C2semidirect
35. C4×D42C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#548C22semidirect
39. C2×#546C22semidirect
42. C2×D42C22semidirect
43. C2×#534C22semidirect
44. C2×#529C22semidirect
45. C2×#525C22semidirect
46. C22×C22⋊Q8C22semidirect
47. C22×#121C22semidirect
48. C22×C4×Q8C22semidirect
50. C22×C4×D4C22semidirect
51. C22×C4×D4C22semidirect
52. #2859C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2850C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2847C22semidirect
63. #2827C22semidirect
64. #2825C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2800C22semidirect
68. #2795C22semidirect
69. #2786C22semidirect
70. #2780C22semidirect
71. #2778C22semidirect
72. #2765C22semidirect
73. #2761C22semidirect
74. #2757C22semidirect
75. #2756C22semidirect
76. #2750C22semidirect
77. #2750C22semidirect
78. #2749C22semidirect
79. #2735C22semidirect
80. #2707C22semidirect
81. #2705C22semidirect
82. #2701C22semidirect
83. #2697C22semidirect
84. #2697C22semidirect
85. #2695C22semidirect
86. #2693C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2682C22semidirect
90. #2681C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2644C22semidirect
101. #2636C22semidirect
102. #2630C22semidirect
103. #2624C22semidirect
104. #2618C22semidirect
105. #2617C22semidirect
106. #2617C22semidirect
107. #2602C22semidirect
108. #2591C22semidirect
109. #2587C22semidirect
110. #2571C22semidirect
111. #2566C22semidirect
112. #2562C22semidirect
113. #2558C22semidirect
114. #2554C22semidirect
115. #2548C22semidirect
116. #2548C22semidirect
117. #2543C22semidirect
118. #2543C22semidirect
120. #2540C22semidirect
121. #2540C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2538C22semidirect
125. #2538C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
129. #2538C22semidirect
130. #2538C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
134. #2537C22semidirect
135. #2536C22semidirect
136. #2535C22semidirect
137. #2534C22semidirect
138. #2534C22semidirect
139. #2534C22semidirect
140. #2518C22semidirect
141. #2513C22semidirect
142. #2512C22semidirect
143. #2512C22semidirect
144. #2510C22semidirect
145. #2507C22semidirect
146. #2507C22semidirect
147. #2504C22semidirect
148. #2500C22semidirect
149. #2500C22semidirect
150. #2500C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2497C22semidirect
154. #2495C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
157. #2490C22semidirect
158. #2487C22semidirect
159. #2486C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2481C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2470C22semidirect
166. #2469C22semidirect
167. #2463C22semidirect
168. #2461C22semidirect
169. #2458C22semidirect
170. #2457C22semidirect
171. #2456C22semidirect
172. #2453C22semidirect
173. #2449C22semidirect
174. #2448C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2444C22semidirect
179. #2443C22semidirect
180. #2443C22semidirect
181. #2443C22semidirect
182. #2442C22semidirect
183. #2437C22semidirect
184. #2436C22semidirect
185. #2435C22semidirect
187. #2433C22semidirect
189. #2428C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2421C22semidirect
204. #2420C22semidirect
205. #2417C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2411C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
222. #2410C22semidirect
223. #2409C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2398C22semidirect
232. #2396C22semidirect
233. C2×#396C22semidirect
234. #2377C22semidirect
235. #2375C22semidirect
237. #2366C22semidirect
238. #2363C22semidirect
240. #2361C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2358C22semidirect
248. #2358C22semidirect
249. #2358C22semidirect
250. #2357C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
255. Q8×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2347C22semidirect
260. #2341C22semidirect
262. D4×C22⋊C4C22semidirect
263. D4×C22⋊C4C22semidirect
264. D4×C22⋊C4C22semidirect
265. D4×C22⋊C4C22semidirect
266. D4×C22⋊C4C22semidirect
267. #2333C22semidirect
268. #2328C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2321C22semidirect
272. #2321C22semidirect
273. #2319C22semidirect
274. #2319C22semidirect
275. #2309C22semidirect
276. #2308C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#120C22semidirect
289. C4×#120C22semidirect
290. #2295C22semidirect
292. C2×#389C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. C2×#380C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
855. C22×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596762
#594122
#593032
#592192
#589962
#484062
#483962
#456422
#456232
#453772
#453672
#430222
#425812
#425562
#406612
#402212
#398852
#397332
#393582
#389752
#389102
#381232
#365762
#364642
#361822
#361012
#360972
D4×#1212
#352362
#351972
#350002
C2×#25382
#347082
#344712
C4×D422