Finite Group Databasebeta

← #7650117

Subgroups — #7650117

Order 512.

6169 conjugacy classes of subgroups.

The subgroup lattice has 1982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42982C212yesmaximal, complemented
2#42974C212yesmaximal, complemented
3#42855C212yesmaximal, complemented
4#42839C212yesmaximal, complemented
5#42606C212yesmaximal, complemented
6#42539C212yesmaximal, complemented
7#42504C212yesmaximal, complemented
8#42503C212yesmaximal, complemented
9#40888C214yesmaximal, complemented
10#40808C214yesmaximal, complemented
11#40221C212yesmaximal, complemented
12#40044C212yesmaximal, complemented
13#40008C212yesmaximal, complemented
14#40006C212yesmaximal, complemented
15#39408C212yesmaximal, complemented
16#39375C212yesmaximal, complemented
17#39222C212yesmaximal, complemented
18#39189C212yesmaximal, complemented
19#38532C214yesmaximal, complemented
20#37720C214yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35558C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35512C211yesmaximal, characteristic, complemented
26#35512C211yesmaximal, characteristic, complemented
27#35262C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34737C211yesmaximal, characteristic, complemented
32C2×#2416C211yesmaximal, characteristic, complemented
33#34258C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#538C2214yescomplemented
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2212yescomplemented
46C2×#520C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic, complemented
49C22×#117C2211yescharacteristic, complemented
50C23×C4⋊C4C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2851C2212yescomplemented
55#2849C2214yescomplemented
56#2830C2214yescomplemented
57#2829C2214yescomplemented
58#2827C2214yescomplemented
59#2824C2214yescomplemented
60#2803C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2788C2214yescomplemented
64#2781C2214yescomplemented
65#2780C2214yescomplemented
66#2779C2214yescomplemented
67#2778C2214yescomplemented
68#2778C2214yescomplemented
69#2768C2214yescomplemented
70#2756C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yescomplemented
73#2735C2214yescomplemented
74#2735C2214yescomplemented
75#2727C2214yescomplemented
76#2714C2214yescomplemented
77#2710C2214yescomplemented
78#2710C2214yescomplemented
79#2708C2214yescomplemented
80#2702C2214yescomplemented
81#2697C2214yescomplemented
82#2695C2214yescomplemented
83#2688C2214yescomplemented
84#2686C2214yescomplemented
85#2685C2214yescomplemented
86#2684C2214yescomplemented
87#2684C2214yescomplemented
88#2682C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2668C2214yescomplemented
92#2661C2214yescomplemented
93#2653C2214yescomplemented
94#2652C2214yescomplemented
95#2651C2214yescomplemented
96#2649C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2636C2214yescomplemented
100#2635C2214yescomplemented
101#2630C2214yescomplemented
102#2629C2212yescomplemented
103#2628C2212yescomplemented
104#2626C2214yescomplemented
105#2624C2212yescomplemented
106#2624C2212yescomplemented
107#2623C2214yescomplemented
108#2622C2214yescomplemented
109#2587C2214yescomplemented
110#2578C2214yescomplemented
111#2576C2214yescomplemented
112#2563C2212yescomplemented
113#2562C2212yescomplemented
114#2562C2212yescomplemented
115#2561C2214yescomplemented
116#2559C2214yescomplemented
117#2555C2214yescomplemented
118#2554C2214yescomplemented
119#2547C2212yescomplemented
120#2538C2211yescharacteristic, complemented
121#2538C2211yescharacteristic, complemented
122#2537C2211yescharacteristic, complemented
123#2537C2211yescharacteristic, complemented
124#2536C2211yescharacteristic, complemented
125#2536C2211yescharacteristic, complemented
126#2535C2211yescharacteristic, complemented
127#2535C2211yescharacteristic, complemented
128#2534C2212yescomplemented
129#2534C2212yescomplemented
130#2514C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2513C2212yescomplemented
134#2513C2212yescomplemented
135#2513C2212yescomplemented
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2512C2212yescomplemented
140#2512C2212yescomplemented
141#2511C2212yescomplemented
142#2510C2214yescomplemented
143#2504C2212yescomplemented
144#2504C2212yescomplemented
145#2503C2212yescomplemented
146#2502C2212yescomplemented
147#2501C2212yescomplemented
148#2501C2212yescomplemented
149#2500C2212yescomplemented
150#2500C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2212yescomplemented
155#2492C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2490C2212yescomplemented
166#2489C2212yescomplemented
167#2488C2214yescomplemented
168#2487C2212yescomplemented
169#2487C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2486C2212yescomplemented
173#2482C2214yescomplemented
174#2481C2214yescomplemented
175#2480C2214yescomplemented
176#2480C2214yescomplemented
177#2480C2214yescomplemented
178#2472C2214yescomplemented
179#2459C2214yescomplemented
180#2456C2214yescomplemented
181#2454C2212yescomplemented
182#2453C2212yescomplemented
183#2452C2212yescomplemented
184#2451C2212yescomplemented
185#2450C2214yescomplemented
186#2449C2214yescomplemented
187#2435C2214yescomplemented
188#2424C2214yescomplemented
189#2418C2214yescomplemented
190#2418C2214yescomplemented
191#2417C2211yescharacteristic, complemented
192#2417C2211yescharacteristic, complemented
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2212yescomplemented
196#2416C2212yescomplemented
197#2416C2212yescomplemented
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2211yescharacteristic, complemented
202#2416C2211yescharacteristic, complemented
203#2415C2211yescharacteristic, complemented
204#2415C2211yescharacteristic, complemented
205#2414C2211yescharacteristic, complemented
206#2414C2211yescharacteristic, complemented
207#2413C2212yescomplemented
208#2412C2212yescomplemented
209#2411C2212yescomplemented
210#2410C2212yescomplemented
211#2408C2212yescomplemented
212#2408C2212yescomplemented
213#2408C2212yescomplemented
214#2408C2212yescomplemented
215#2408C2212yescomplemented
216#2408C2212yescomplemented
217#2408C2212yescomplemented
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2405C2214yes—
229#2405C2214yes—
230#2405C2214yescomplemented
231#2403C2214yes—
232#2403C2214yes—
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237C2×#396C2212yescomplemented
238C2×#394C2212yescomplemented
239#2361C2212yescomplemented
240#2361C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2359C2214yescomplemented
244#2358C2214yescomplemented
245#2354C2212yescomplemented
246#2352C2212yescomplemented
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2341C2212yescomplemented
254#2341C2212yescomplemented
255D4×C22⋊C4C2214yes—
256D4×C22⋊C4C2214yes—
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259#2337C2214yescomplemented
260#2333C2214yescomplemented
261#2324C2212yescomplemented
262#2323C2212yescomplemented
263#2322C2214yescomplemented
264#2321C2214yescomplemented
265#2317C2211yescharacteristic, complemented
266#2317C2211yescharacteristic, complemented
267#2317C2211yescharacteristic, complemented
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2212yescomplemented
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277#2309C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#120C2214yescomplemented
285#2297C2211yescharacteristic
286#2297C2212yescomplemented
287#2296C2211yescharacteristic, complemented
288C2×#390C2211yescharacteristic
289C2×#390C2212yescomplemented
290C2×#389C2211yescharacteristic, complemented
291C2×#386C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2280C2211yescharacteristic, complemented
294#2280C2211yescharacteristic, complemented
295#2280C2211yescharacteristic, complemented
296C2×#380C2211yescharacteristic, complemented
297#2274C2211yescharacteristic, complemented
298#2274C2211yescharacteristic, complemented
299C2×H(5,𝔽2)—28no—
300C2×H(5,𝔽2)—44no—
301C2×H(5,𝔽2)—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2312yes—
313C24×C4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#544—44no—
317#538—416no—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328#525—28no—
329#525—28no—
330#525—44no—
331#525—44no—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×#121—44no—
351C2×#121—44no—
352C2×#121—48no—
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#120C2312yes—
378C2×#120C2312yes—
379C2×#120C2314yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385#520—44no—
386C4×#41—44no—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×D4—44no—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
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×D4C2311yescharacteristic
415C2×C4×D4C2314yes—
416C2×#117—44no—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C22×C4⋊C4—44no—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456#401C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
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#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2312yes—
514#396C2312yes—
515#396C2312yes—
516#395C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2314yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#383C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#381C2312yes—
745#381C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2312yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794#379C2312yes—
795#379C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C25C2411yescharacteristic
828C25C2411yescharacteristic
829C25C2412yes—
830C25C2414yes—
831H(5,𝔽2)—464no—
832C2×#41—28no—
833C2×#41—28no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41#4118yes—
844C22×Q8C2411yescharacteristic
845C22×Q8C2411yescharacteristic
846C22×Q8C2414yes—
847C22×D4—216no—
848C22×D4—28no—
849C22×D4—24no—
850C22×D4—28no—
851C22×D4—24no—
852C22×D4—24no—
853C22×D4—24no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—42no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—42no—
862C22×D4—48no—
863C22×D4—48no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—82no—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2411yescharacteristic
892C23×C4—24no—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—44no—
899C23×C4—44no—
900C23×C4—82no—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C4⋊Q8—44no—
928C4⋊Q8—44no—
929#126—48no—
930#126—48no—
931#126—84no—
932#125—44no—
933#125—44no—
934#124—48no—
935#124—48no—
936#124—48no—
937#123—28no—
938#123—28no—
939#123—44no—
940#123—44no—
941#123—48no—
942#123—48no—
943#123—84no—
944#123—84no—
945C22⋊Q8—24no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—24no—
949C22⋊Q8—48no—
950C22⋊Q8—48no—
951C22⋊Q8—42no—
952C22⋊Q8—42no—
953C22⋊Q8—42no—
954C22⋊Q8—42no—
955#121—24no—
956#121—24no—
957#121—24no—
958#121—24no—
959#121—216no—
960#121—28no—
961#121—28no—
962#121—48no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—42no—
975#121—42no—
976#121—42no—
977#121—42no—
978#121—48no—
979#120—28no—
980#120—28no—
981#120—44no—
982#120—44no—
983#120—48no—
984#120—48no—
985#120—48no—
986#120—84no—
987C4×Q8—42no—
988C4×Q8—42no—
989C4×Q8—44no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—48no—
1012C4×D4—48no—
1013C4×D4—48no—
1014C4×D4—84no—
1015#117—24no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—44no—
1022#117—44no—
1023#117—44no—
1024#117—42no—
1025#117—42no—
1026#117—44no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—42no—
1035C2×C4⋊C4—42no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—42no—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—48no—
1098C2×C22⋊C4—44no—
1099C2×C22⋊C4—44no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—42no—
1102C2×C22⋊C4—44no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—84no—
1105C2×C22⋊C4—82no—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C42—24no—
1190C2×C42—44no—
1191C2×C42—44no—
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—28no—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—44no—
1278C24—44no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24—42no—
1283C24—44no—
1284C24—44no—
1285C24—44no—
1286C24—44no—
1287C24C2512yes—
1288C24C2514yes—
1289C24C2511yescharacteristic
1290C24C2512yes—
1291C24C2511yescharacteristic
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295#41—232no—
1296#41—432no—
1297#41—432no—
1298#41—416no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—44no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8C2×#4114yes—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—24no—
1330C2×D4—28no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—432no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—464no—
1379C2×D4—432no—
1380C2×D4—416no—
1381C2×D4—416no—
1382C2×D4—816no—
1383C2×D4—816no—
1384C2×D4C2×#4118yes—
1385C2×D4C2×#4114yes—
1386C2×D4H(5,𝔽2)14yescomplemented
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—41no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—41no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—816no—
1464C22×C4C2×#4118yes—
1465C22×C4C2×#4114yes—
1466C22×C4H(5,𝔽2)14yes—
1467C22×C4H(5,𝔽2)14yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2514yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2514yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—28no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—41no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C42—24no—
1635C42—24no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—24no—
1641C42—24no—
1642C42—24no—
1643C42—24no—
1644C42—42no—
1645C42—42no—
1646C42—42no—
1647C42—42no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42—44no—
1652C42—44no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—28no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—22no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—22no—
1684C23—24no—
1685C23—22no—
1686C23—24no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—24no—
1699C23—21no—
1700C23—24no—
1701C23—21no—
1702C23—22no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—416no—
1712C23—44no—
1713C23—44no—
1714C23—48no—
1715C23—82no—
1716C23—82no—
1717C23—82no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23—88no—
1725C23—88no—
1726C23—164no—
1727C23—164no—
1728C23—164no—
1729C23—164no—
1730C23C22×#4114yes—
1731C23C22×#4112yes—
1732C23C2×H(5,𝔽2)12yes—
1733C23C2×H(5,𝔽2)12yes—
1734C23C2×H(5,𝔽2)12yes—
1735C23C2×H(5,𝔽2)12yes—
1736C23#58512yes—
1737C23C2611yescharacteristic
1738Q8—28no—
1739Q8—44no—
1740Q8—164no—
1741D4—216no—
1742D4—28no—
1743D4—44no—
1744D4—44no—
1745D4—416no—
1746D4—48no—
1747D4—48no—
1748D4—48no—
1749D4—44no—
1750D4—44no—
1751D4—416no—
1752D4—48no—
1753D4—48no—
1754D4—44no—
1755D4—48no—
1756D4—84no—
1757D4—84no—
1758D4—84no—
1759D4—84no—
1760D4—88no—
1761D4—88no—
1762D4—88no—
1763D4—84no—
1764D4—88no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—216no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
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—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—44no—
1840C2×C4—416no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—48no—
1853C2×C4—84no—
1854C2×C4—82no—
1855C2×C4—84no—
1856C2×C4—88no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—84no—
1861C2×C4—88no—
1862C2×C4—164no—
1863C2×C4#538116yescomplemented
1864C2×C4C22×#4114yes—
1865C2×C4C22×#4112yes—
1866C2×C4C22×#4112yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4C2×H(5,𝔽2)12yes—
1871C2×C4C2×H(5,𝔽2)12yes—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—24no—
1881C22—22no—
1882C22—24no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—24no—
1889C22—22no—
1890C22—416no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—41no—
1908C22—42no—
1909C22—44no—
1910C22—41no—
1911C22—44no—
1912C22—42no—
1913C22—41no—
1914C22—44no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—44no—
1919C22—41no—
1920C22—44no—
1921C22—42no—
1922C22—41no—
1923C22—44no—
1924C22—42no—
1925C22—42no—
1926C22—41no—
1927C22—44no—
1928C22—88no—
1929C22—168no—
1930C22—1616no—
1931C22C2×#53814yes—
1932C22C23×#4111yescharacteristic
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C22×H(5,𝔽2)11yescharacteristic
1935C22C22×H(5,𝔽2)11yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22H(7,𝔽2)11yescharacteristic
1938C222−1+611yescharacteristic
1939C4—22no—
1940C4—24no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—41no—
1946C4—44no—
1947C4—42no—
1948C4—42no—
1949C4—41no—
1950C4—42no—
1951C4—41no—
1952C4—42no—
1953C4—44no—
1954C4—44no—
1955C4—42no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4C2×#53814yes—
1965C4C2×#53814yes—
1966C2—24no—
1967C2—42no—
1968C2—42no—
1969C2—42no—
1970C2—44no—
1971C2—81no—
1972C2—84no—
1973C2—82no—
1974C2C22×#53811yescharacteristic
1975C2#6281811yescharacteristic
1976C2#6287511yescharacteristic
1977C2#6291211yescharacteristic
1978C2#6295411yescharacteristic
1979C2#6298511yescharacteristic
1980C2#6300811yescharacteristic
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. #42982C2semidirect
2. #42974C2semidirect
3. #42855C2semidirect
4. #42839C2semidirect
5. #42606C2semidirect
6. #42539C2semidirect
7. #42504C2semidirect
8. #42503C2semidirect
9. #40888C2semidirect
10. #40808C2semidirect
11. #40221C2semidirect
12. #40044C2semidirect
13. #40008C2semidirect
14. #40006C2semidirect
15. #39408C2semidirect
16. #39375C2semidirect
17. #39222C2semidirect
18. #39189C2semidirect
19. #38532C2semidirect
20. #37720C2semidirect
21. #35584C2semidirect
22. #35558C2semidirect
23. #35545C2semidirect
24. #35542C2semidirect
25. #35512C2semidirect
26. #35512C2semidirect
27. #35262C2semidirect
28. #35257C2semidirect
29. #35227C2semidirect
30. #34935C2semidirect
31. #34737C2semidirect
32. C2×#2416C2semidirect
33. #34258C2semidirect
34. #34202C2semidirect
35. #34200C2semidirect
37. C2×#544C22semidirect
38. C2×#538C22semidirect
45. C22×#121C22semidirect
48. C22×C4×D4C22semidirect
49. C22×#117C22semidirect
50. C23×C4⋊C4C22semidirect
51. #2857C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2851C22semidirect
55. #2849C22semidirect
56. #2830C22semidirect
57. #2829C22semidirect
58. #2827C22semidirect
59. #2824C22semidirect
60. #2803C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2788C22semidirect
64. #2781C22semidirect
65. #2780C22semidirect
66. #2779C22semidirect
67. #2778C22semidirect
68. #2778C22semidirect
69. #2768C22semidirect
70. #2756C22semidirect
71. #2750C22semidirect
72. #2749C22semidirect
73. #2735C22semidirect
74. #2735C22semidirect
75. #2727C22semidirect
76. #2714C22semidirect
77. #2710C22semidirect
78. #2710C22semidirect
79. #2708C22semidirect
80. #2702C22semidirect
81. #2697C22semidirect
82. #2695C22semidirect
83. #2688C22semidirect
84. #2686C22semidirect
85. #2685C22semidirect
86. #2684C22semidirect
87. #2684C22semidirect
88. #2682C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2668C22semidirect
92. #2661C22semidirect
93. #2653C22semidirect
94. #2652C22semidirect
95. #2651C22semidirect
96. #2649C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
99. #2636C22semidirect
100. #2635C22semidirect
101. #2630C22semidirect
102. #2629C22semidirect
103. #2628C22semidirect
104. #2626C22semidirect
105. #2624C22semidirect
106. #2624C22semidirect
107. #2623C22semidirect
108. #2622C22semidirect
109. #2587C22semidirect
110. #2578C22semidirect
111. #2576C22semidirect
112. #2563C22semidirect
113. #2562C22semidirect
114. #2562C22semidirect
115. #2561C22semidirect
116. #2559C22semidirect
117. #2555C22semidirect
118. #2554C22semidirect
119. #2547C22semidirect
120. #2538C22semidirect
121. #2538C22semidirect
122. #2537C22semidirect
123. #2537C22semidirect
124. #2536C22semidirect
125. #2536C22semidirect
126. #2535C22semidirect
127. #2535C22semidirect
128. #2534C22semidirect
129. #2534C22semidirect
130. #2514C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2513C22semidirect
135. #2513C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2512C22semidirect
140. #2512C22semidirect
141. #2511C22semidirect
142. #2510C22semidirect
143. #2504C22semidirect
144. #2504C22semidirect
145. #2503C22semidirect
146. #2502C22semidirect
147. #2501C22semidirect
148. #2501C22semidirect
149. #2500C22semidirect
150. #2500C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2494C22semidirect
155. #2492C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2489C22semidirect
167. #2488C22semidirect
168. #2487C22semidirect
169. #2487C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2486C22semidirect
173. #2482C22semidirect
174. #2481C22semidirect
175. #2480C22semidirect
176. #2480C22semidirect
177. #2480C22semidirect
178. #2472C22semidirect
179. #2459C22semidirect
180. #2456C22semidirect
181. #2454C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
185. #2450C22semidirect
186. #2449C22semidirect
187. #2435C22semidirect
188. #2424C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2417C22semidirect
192. #2417C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
196. #2416C22semidirect
197. #2416C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2415C22semidirect
204. #2415C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2413C22semidirect
208. #2412C22semidirect
209. #2411C22semidirect
210. #2410C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2408C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
230. #2405C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. C2×#396C22semidirect
238. C2×#394C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2359C22semidirect
244. #2358C22semidirect
245. #2354C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2341C22semidirect
254. #2341C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2337C22semidirect
260. #2333C22semidirect
261. #2324C22semidirect
262. #2323C22semidirect
263. #2322C22semidirect
264. #2321C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
267. #2317C22semidirect
273. #2311C22semidirect
277. #2309C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#120C22semidirect
286. #2297C22semidirect
287. #2296C22semidirect
289. C2×#390C22semidirect
290. C2×#389C22semidirect
291. C2×#386C22semidirect
292. #2285C22semidirect
293. #2280C22semidirect
294. #2280C22semidirect
295. #2280C22semidirect
296. C2×#380C22semidirect
297. #2274C22semidirect
298. #2274C22semidirect
1386. C2×D4H(5,𝔽2)semidirect
1863. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
#429822
#429742
#428552
#428392
#426062
#425392
#425042
#425032
#408882
#408082
#402212
#400442
#400082
#400062
#394082
#393752
#392222
#391892
#385322
#377202
#355842
#355582
#355452
#355422
#355122
#352622
#352572
#352272
#349352
#347372
C2×#24162
#342582
#342022
#342002