Finite Group Databasebeta

← #8095126

Subgroups — #8095126

Order 512.

5650 conjugacy classes of subgroups.

The subgroup lattice has 1975 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53136C212yesmaximal, complemented
2#53095C212yesmaximal, complemented
3#53053C212yesmaximal, complemented
4#53045C212yesmaximal, complemented
5#53044C212yesmaximal, complemented
6#53007C212yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52375C214yesmaximal, complemented
10#52347C214yesmaximal, complemented
11#45751C214yesmaximal, complemented
12#45732C214yesmaximal, complemented
13#45721C212yesmaximal, complemented
14#45646C212yesmaximal, complemented
15#45642C212yesmaximal, complemented
16#45632C212yesmaximal, complemented
17#45624C212yesmaximal, complemented
18#45623C212yesmaximal, complemented
19#45497C212yesmaximal, complemented
20#45493C212yesmaximal, complemented
21#35634C211yesmaximal, characteristic, complemented
22#35633C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35530C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic, complemented
27#35306C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35263C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#35153C211yesmaximal, characteristic, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34737C211yesmaximal, characteristic, complemented
35#34736C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic, complemented
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic, complemented
46C22×C22⋊Q8C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic, complemented
48C2×#520C2211yescharacteristic, complemented
49C22×C4×Q8C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2214yescomplemented
56#2853C2214yescomplemented
57#2850C2212yescomplemented
58#2848C2212yescomplemented
59#2848C2212yescomplemented
60#2848C2212yescomplemented
61#2847C2212yescomplemented
62#2842C2214yescomplemented
63#2841C2214yescomplemented
64#2838C2214yescomplemented
65#2838C2214yescomplemented
66#2837C2214yescomplemented
67#2837C2214yescomplemented
68#2837C2214yescomplemented
69#2830C2214yescomplemented
70#2829C2214yescomplemented
71#2829C2214yescomplemented
72#2829C2214yescomplemented
73#2829C2214yescomplemented
74#2828C2214yescomplemented
75#2827C2214yescomplemented
76#2827C2214yescomplemented
77#2826C2214yescomplemented
78#2826C2214yescomplemented
79#2825C2214yescomplemented
80#2823C2214yescomplemented
81#2813C2214yescomplemented
82#2807C2214yescomplemented
83#2807C2214yescomplemented
84#2803C2214yescomplemented
85#2803C2214yescomplemented
86#2801C2214yescomplemented
87#2797C2214yes—
88#2796C2214yes—
89#2796C2214yescomplemented
90#2795C2214yescomplemented
91#2792C2214yescomplemented
92#2792C2214yescomplemented
93#2790C2214yescomplemented
94#2790C2214yescomplemented
95#2790C2214yescomplemented
96#2784C2214yescomplemented
97#2780C2214yes—
98#2780C2214yescomplemented
99#2780C2214yescomplemented
100#2780C2214yescomplemented
101#2757C2214yescomplemented
102#2757C2214yescomplemented
103#2752C2214yescomplemented
104#2749C2214yescomplemented
105#2748C2214yescomplemented
106#2742C2214yescomplemented
107#2735C2214yescomplemented
108#2714C2214yescomplemented
109#2714C2214yescomplemented
110#2705C2214yescomplemented
111#2705C2214yescomplemented
112#2705C2214yescomplemented
113#2705C2214yescomplemented
114#2703C2214yescomplemented
115#2697C2214yescomplemented
116#2693C2214yescomplemented
117#2691C2214yescomplemented
118#2685C2214yes—
119#2685C2214yescomplemented
120#2678C2214yes—
121#2678C2214yes—
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2623C2214yescomplemented
125#2621C2212yescomplemented
126#2620C2212yescomplemented
127#2618C2214yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2616C2212yescomplemented
131#2615C2212yescomplemented
132#2542C2212yescomplemented
133#2542C2212yescomplemented
134#2542C2212yescomplemented
135#2542C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2539C2214yescomplemented
141#2538C2212yes—
142#2538C2212yes—
143#2538C2212yes—
144#2538C2212yes—
145#2538C2212yescomplemented
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2537C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yescomplemented
153#2534C2214yes—
154#2512C2212yescomplemented
155#2512C2212yescomplemented
156#2511C2212yescomplemented
157#2511C2212yescomplemented
158#2502C2212yescomplemented
159#2501C2214yescomplemented
160#2501C2212yescomplemented
161#2500C2212yescomplemented
162#2499C2212yescomplemented
163#2498C2214yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2496C2212yescomplemented
171#2496C2212yescomplemented
172#2495C2212yescomplemented
173#2495C2212yescomplemented
174#2494C2212yescomplemented
175#2494C2212yescomplemented
176#2493C2214yescomplemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2486C2214yescomplemented
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2481C2214yescomplemented
183#2481C2214yescomplemented
184#2480C2214yes—
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2446C2212yescomplemented
188#2446C2212yescomplemented
189#2443C2214yescomplemented
190#2443C2214yescomplemented
191#2435C2212yescomplemented
192#2434C2212yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2430C2214yes—
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2427C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2425C2214yescomplemented
209#2424C2214yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2423C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2421C2212yescomplemented
217#2421C2212yescomplemented
218#2417C2211yescharacteristic
219#2417C2211yescharacteristic, complemented
220#2417C2212yescomplemented
221#2417C2212yescomplemented
222#2417C2212yescomplemented
223#2417C2212yescomplemented
224#2417C2212yescomplemented
225#2416C2211yescharacteristic
226#2416C2212yescomplemented
227#2416C2211yescharacteristic, complemented
228#2415C2211yescharacteristic
229#2415C2212yescomplemented
230#2415C2212yescomplemented
231#2415C2212yescomplemented
232#2415C2211yescharacteristic, complemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2414C2211yescharacteristic
236#2414C2211yescharacteristic, complemented
237#2414C2212yescomplemented
238#2413C2214yescomplemented
239#2413C2212yescomplemented
240#2412C2212yescomplemented
241#2412C2214yescomplemented
242#2412C2214yescomplemented
243#2411C2212yes—
244#2410C2214yes—
245#2410C2212yes—
246#2409C2211yescharacteristic
247#2409C2211yescharacteristic
248#2409C2212yescomplemented
249#2408C2211yescharacteristic
250#2408C2211yescharacteristic
251#2408C2212yescomplemented
252#2407C2211yescharacteristic
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2211yescharacteristic
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2406C2214yes—
259#2406C2212yes—
260#2405C2212yes—
261#2405C2214yes—
262#2404C2212yes—
263#2403C2212yes—
264#2392C2212yes—
265#2392C2212yescomplemented
266C2×#396C2212yes—
267C2×#396C2212yescomplemented
268#2388C2212yes—
269#2388C2212yes—
270#2383C2214yescomplemented
271#2377C2214yes—
272#2376C2214yescomplemented
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2316C2211yescharacteristic, complemented
277#2316C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2310C2211yescharacteristic, complemented
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285C4×#120C2212yes—
286C4×#120C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#390C2212yes—
292C2×#389C2212yescomplemented
293C2×#384C2211yescharacteristic, complemented
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic, complemented
298#2274C2211yescharacteristic, complemented
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317#537—44no—
318#537—44no—
319#536—44no—
320#536—44no—
321#536—44no—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331#525—44no—
332#525—44no—
333#525—44no—
334#525—44no—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8—44no—
346C2×C22⋊Q8—44no—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2311yescharacteristic
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2314yes—
397#520—44no—
398C2×C4×Q8—44no—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×D4—44no—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×#117—44no—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C22⋊C4C2311yescharacteristic
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
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#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2312yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2312yes—
529#396C2314yes—
530#396C2312yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2312yes—
536#395C2314yes—
537#395C2314yes—
538#395C2312yes—
539#395C2314yes—
540#395C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#393C2312yes—
576#393C2314yes—
577#393C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#384C2314yes—
755#384C2312yes—
756#384C2312yes—
757#384C2314yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#383C2314yes—
763#382C2312yes—
764#382C2312yes—
765#381C2314yes—
766#381C2314yes—
767#381C2312yes—
768#381C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#379C2312yes—
803#379C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808#379C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C2×#95C2312yes—
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
830C25C2412yes—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—464no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×D4—24no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—44no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8—44no—
935#126—48no—
936#126—84no—
937#126—84no—
938#124—44no—
939#124—44no—
940#124—44no—
941#123—48no—
942#123—44no—
943#123—44no—
944#123—44no—
945#123—44no—
946#123—48no—
947#123—48no—
948#123—48no—
949#123—84no—
950#123—84no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977#121—28no—
978#121—44no—
979#121—42no—
980#121—42no—
981#121—42no—
982#121—42no—
983#121—42no—
984#121—42no—
985#121—42no—
986#121—42no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—48no—
992#121—48no—
993#121—84no—
994#120—28no—
995#120—44no—
996#120—44no—
997#120—44no—
998#120—44no—
999#120—44no—
1000#120—84no—
1001C4×Q8—44no—
1002C4×Q8—44no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×Q8—44no—
1006C4×D4—44no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—48no—
1024#117—24no—
1025#117—24no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—44no—
1030#117—44no—
1031#117—42no—
1032#117—42no—
1033#117—44no—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—24no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—42no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—42no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4—44no—
1045C2×C4⋊C4—82no—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—42no—
1109C2×C22⋊C4—42no—
1110C2×C22⋊C4—44no—
1111C2×C22⋊C4—44no—
1112C2×C22⋊C4—82no—
1113C2×C22⋊C4—82no—
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⋊C4C2412yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C42—24no—
1193C2×C42—44no—
1194C2×C42—44no—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—24no—
1270C24—41no—
1271C24—41no—
1272C24—42no—
1273C24—42no—
1274C24—42no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24C2511yescharacteristic
1283C24C2511yescharacteristic
1284C24C2512yes—
1285C24C2512yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289C24C2511yescharacteristic
1290#41—432no—
1291#41—416no—
1292#41—416no—
1293#41—432no—
1294#41—416no—
1295#41—416no—
1296#41—416no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—416no—
1316C2×Q8—416no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—416no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—432no—
1387C2×D4—416no—
1388C2×D42−1+414yes—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—432no—
1465C22×C4—416no—
1466C22×C4—416no—
1467C22×C4H(5,𝔽2)14yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4H(5,𝔽2)14yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2514yes—
1488C22×C4C2514yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2514yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—41no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
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—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
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—42no—
1572C22⋊C4—42no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
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—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—24no—
1641C42—24no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—42no—
1646C42—42no—
1647C42—44no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42—44no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—21no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—48no—
1710C23—44no—
1711C23—44no—
1712C23—82no—
1713C23—82no—
1714C23—82no—
1715C23—82no—
1716C23—82no—
1717C23—82no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2×H(5,𝔽2)12yes—
1726C23C2×H(5,𝔽2)12yes—
1727C23C2×2−1+412yes—
1728C23C2×2−1+412yes—
1729C23C2611yescharacteristic
1730Q8—48no—
1731Q8—48no—
1732Q8—48no—
1733Q8—44no—
1734Q8—44no—
1735Q8—44no—
1736D4—44no—
1737D4—44no—
1738D4—44no—
1739D4—44no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—84no—
1757D4—164no—
1758D4—164no—
1759C2×C4—28no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—44no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—84no—
1854C2×C4—84no—
1855C2×C4—84no—
1856C2×C4—164no—
1857C2×C4#560116yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×2−1+412yes—
1865C2×C4#58512yes—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—41no—
1896C22—42no—
1897C22—42no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—88no—
1922C22—88no—
1923C22—816no—
1924C22C2×#56014yes—
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×H(5,𝔽2)11yescharacteristic
1928C22C22×2−1+411yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22H(7,𝔽2)11yescharacteristic
1931C222−1+611yescharacteristic
1932C4—22no—
1933C4—22no—
1934C4—42no—
1935C4—41no—
1936C4—41no—
1937C4—44no—
1938C4—42no—
1939C4—42no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—44no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—44no—
1952C4—44no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4C2×#56014yes—
1958C4C2×#56014yes—
1959C2—24no—
1960C2—42no—
1961C2—42no—
1962C2—82no—
1963C2—81no—
1964C2—81no—
1965C2—82no—
1966C2—82no—
1967C2C22×#56011yescharacteristic
1968C2#6281911yescharacteristic
1969C2#6287511yescharacteristic
1970C2#6294211yescharacteristic
1971C2#6294411yescharacteristic
1972C2#6295511yescharacteristic
1973C2#6296011yescharacteristic
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. #53136C2semidirect
2. #53095C2semidirect
3. #53053C2semidirect
4. #53045C2semidirect
5. #53044C2semidirect
6. #53007C2semidirect
7. #52981C2semidirect
8. #52956C2semidirect
9. #52375C2semidirect
10. #52347C2semidirect
11. #45751C2semidirect
12. #45732C2semidirect
13. #45721C2semidirect
14. #45646C2semidirect
15. #45642C2semidirect
16. #45632C2semidirect
17. #45624C2semidirect
18. #45623C2semidirect
19. #45497C2semidirect
20. #45493C2semidirect
21. #35634C2semidirect
22. #35633C2semidirect
23. #35557C2semidirect
24. #35544C2semidirect
25. #35530C2semidirect
26. #35518C2semidirect
27. #35306C2semidirect
28. #35305C2semidirect
29. #35263C2semidirect
30. #35251C2semidirect
31. #35182C2semidirect
32. #35153C2semidirect
33. C2×#2538C2semidirect
34. #34737C2semidirect
35. #34736C2semidirect
41. C2×#536C22semidirect
45. C2×#525C22semidirect
47. C22×C22⋊Q8C22semidirect
48. C2×#520C22semidirect
49. C22×C4×Q8C22semidirect
51. C22×#117C22semidirect
52. #2857C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2853C22semidirect
57. #2850C22semidirect
58. #2848C22semidirect
59. #2848C22semidirect
60. #2848C22semidirect
61. #2847C22semidirect
62. #2842C22semidirect
63. #2841C22semidirect
64. #2838C22semidirect
65. #2838C22semidirect
66. #2837C22semidirect
67. #2837C22semidirect
68. #2837C22semidirect
69. #2830C22semidirect
70. #2829C22semidirect
71. #2829C22semidirect
72. #2829C22semidirect
73. #2829C22semidirect
74. #2828C22semidirect
75. #2827C22semidirect
76. #2827C22semidirect
77. #2826C22semidirect
78. #2826C22semidirect
79. #2825C22semidirect
80. #2823C22semidirect
81. #2813C22semidirect
82. #2807C22semidirect
83. #2807C22semidirect
84. #2803C22semidirect
85. #2803C22semidirect
86. #2801C22semidirect
89. #2796C22semidirect
90. #2795C22semidirect
91. #2792C22semidirect
92. #2792C22semidirect
93. #2790C22semidirect
94. #2790C22semidirect
95. #2790C22semidirect
96. #2784C22semidirect
98. #2780C22semidirect
99. #2780C22semidirect
100. #2780C22semidirect
101. #2757C22semidirect
102. #2757C22semidirect
103. #2752C22semidirect
104. #2749C22semidirect
105. #2748C22semidirect
106. #2742C22semidirect
107. #2735C22semidirect
108. #2714C22semidirect
109. #2714C22semidirect
110. #2705C22semidirect
111. #2705C22semidirect
112. #2705C22semidirect
113. #2705C22semidirect
114. #2703C22semidirect
115. #2697C22semidirect
116. #2693C22semidirect
117. #2691C22semidirect
119. #2685C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2623C22semidirect
125. #2621C22semidirect
126. #2620C22semidirect
127. #2618C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
130. #2616C22semidirect
131. #2615C22semidirect
132. #2542C22semidirect
133. #2542C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2539C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2536C22semidirect
152. #2535C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2511C22semidirect
157. #2511C22semidirect
158. #2502C22semidirect
159. #2501C22semidirect
160. #2501C22semidirect
161. #2500C22semidirect
162. #2499C22semidirect
163. #2498C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2496C22semidirect
171. #2496C22semidirect
172. #2495C22semidirect
173. #2495C22semidirect
174. #2494C22semidirect
175. #2494C22semidirect
176. #2493C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2486C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2481C22semidirect
183. #2481C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2446C22semidirect
188. #2446C22semidirect
189. #2443C22semidirect
190. #2443C22semidirect
191. #2435C22semidirect
192. #2434C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2425C22semidirect
209. #2424C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
213. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2421C22semidirect
217. #2421C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
224. #2417C22semidirect
226. #2416C22semidirect
227. #2416C22semidirect
229. #2415C22semidirect
230. #2415C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2413C22semidirect
239. #2413C22semidirect
240. #2412C22semidirect
241. #2412C22semidirect
242. #2412C22semidirect
248. #2409C22semidirect
251. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
265. #2392C22semidirect
267. C2×#396C22semidirect
270. #2383C22semidirect
272. #2376C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
277. #2316C22semidirect
282. #2310C22semidirect
284. C4×#121C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
292. C2×#389C22semidirect
293. C2×#384C22semidirect
297. C2×#380C22semidirect
298. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#531362
#530952
#530532
#530452
#530442
#530072
#529812
#529562
#523752
#523472
#457512
#457322
#457212
#456462
#456422
#456322
#456242
#456232
#454972
#454932
#356342
#356332
#355572
#355442
#355302
#355182
#353062
#353052
#352632
#352512
#351822
#351532
C2×#25382
#347372
#347362