Finite Group Databasebeta

← #8174452

Subgroups — #8174452

Order 512.

5890 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59124C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#57191C214yesmaximal, complemented
6#55165C214yesmaximal, complemented
7#53608C214yesmaximal, complemented
8#53503C214yesmaximal, complemented
9#53088C212yesmaximal, complemented
10#53000C212yesmaximal, complemented
11#52986C212yesmaximal, complemented
12#52973C212yesmaximal, complemented
13#45057C212yesmaximal, complemented
14#44957C212yesmaximal, complemented
15#42966C212yesmaximal, complemented
16#42966C212yesmaximal, complemented
17#42895C212yesmaximal, complemented
18#42616C212yesmaximal, complemented
19#42589C212yesmaximal, complemented
20#42435C212yesmaximal, complemented
21#39770C211yesmaximal, characteristic, complemented
22#39419C212yesmaximal, complemented
23#39387C211yesmaximal, characteristic, complemented
24#39361C211yesmaximal, characteristic, complemented
25#39361C211yesmaximal, characteristic, complemented
26#39355C212yesmaximal, complemented
27#39202C211yesmaximal, characteristic, complemented
28#39174C211yesmaximal, characteristic, complemented
29#37587C212yesmaximal, complemented
30#37305C212yesmaximal, complemented
31#36595C211yesmaximal, characteristic, complemented
32#36583C211yesmaximal, characteristic, complemented
33#35274C211yesmaximal, characteristic, complemented
34#34915C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yescomplemented
42C2×#546C2212yescomplemented
43C2×D42C2211yescharacteristic, complemented
44C2×#542C2212yescomplemented
45C2×#535C2212yescomplemented
46C2×#535C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#532C2211yescharacteristic
50C22×#127C2211yescharacteristic, complemented
51#2867C2211yescharacteristic
52#2867C2211yescharacteristic
53#2858C2211yescharacteristic, complemented
54#2858C2212yescomplemented
55#2858C2212yescomplemented
56#2858C2211yescharacteristic, complemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2826C2214yescomplemented
62#2825C2214yescomplemented
63#2825C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yescomplemented
68#2812C2214yescomplemented
69#2797C2214yescomplemented
70#2778C2214yescomplemented
71#2778C2214yescomplemented
72#2752C2214yescomplemented
73#2730C2214yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2711C2214yescomplemented
77#2711C2214yescomplemented
78#2711C2214yescomplemented
79#2709C2214yescomplemented
80#2709C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2705C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2693C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yescomplemented
90#2682C2214yescomplemented
91#2682C2214yescomplemented
92#2679C2214yescomplemented
93#2679C2214yescomplemented
94#2679C2214yescomplemented
95#2679C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2668C2214yes—
116#2668C2214yescomplemented
117#2661C2214yescomplemented
118#2661C2214yescomplemented
119#2657C2212yescomplemented
120#2657C2212yescomplemented
121#2654C2212yescomplemented
122#2653C2212yescomplemented
123#2650C2212yescomplemented
124#2649C2212yescomplemented
125#2648C2214yescomplemented
126#2647C2211yescharacteristic, complemented
127#2645C2211yescharacteristic, complemented
128#2644C2211yescharacteristic, complemented
129#2641C2212yescomplemented
130#2641C2212yescomplemented
131#2640C2211yescharacteristic, complemented
132#2635C2214yescomplemented
133#2630C2214yescomplemented
134#2628C2211yescharacteristic, complemented
135#2625C2211yescharacteristic, complemented
136#2624C2211yescharacteristic
137#2624C2212yescomplemented
138#2622C2214yescomplemented
139#2620C2211yescharacteristic
140#2620C2212yescomplemented
141#2619C2212yescomplemented
142#2619C2212yescomplemented
143#2617C2214yescomplemented
144#2617C2214yescomplemented
145#2597C2212yescomplemented
146#2596C2212yescomplemented
147#2595C2212yescomplemented
148#2594C2212yescomplemented
149#2566C2212yescomplemented
150#2559C2214yescomplemented
151#2555C2214yescomplemented
152#2548C2212yescomplemented
153#2548C2211yescharacteristic, complemented
154#2548C2212yescomplemented
155#2548C2212yescomplemented
156#2548C2211yescharacteristic, complemented
157#2548C2211yescharacteristic, complemented
158#2548C2212yescomplemented
159#2548C2212yescomplemented
160#2548C2211yescharacteristic, complemented
161#2548C2212yescomplemented
162#2547C2211yescharacteristic, complemented
163#2547C2212yescomplemented
164#2545C2212yescomplemented
165#2544C2212yescomplemented
166#2544C2212yescomplemented
167#2544C2212yescomplemented
168#2544C2214yescomplemented
169#2542C2211yescharacteristic, complemented
170#2541C2212yes—
171#2541C2211yescharacteristic
172#2541C2212yes—
173#2541C2211yescharacteristic
174#2541C2212yescomplemented
175#2541C2212yescomplemented
176#2541C2212yescomplemented
177#2541C2212yescomplemented
178#2539C2214yescomplemented
179#2539C2214yescomplemented
180#2538C2212yescomplemented
181#2537C2212yes—
182#2513C2211yescharacteristic, complemented
183#2512C2212yescomplemented
184#2509C2211yescharacteristic, complemented
185#2494C2211yescharacteristic, complemented
186#2490C2211yescharacteristic
187#2490C2212yescomplemented
188#2490C2212yescomplemented
189#2490C2214yescomplemented
190#2490C2214yescomplemented
191#2490C2212yescomplemented
192#2490C2212yescomplemented
193#2472C2214yescomplemented
194#2464C2214yescomplemented
195#2460C2214yescomplemented
196#2457C2214yescomplemented
197#2454C2212yescomplemented
198#2453C2211yescharacteristic, complemented
199#2448C2212yescomplemented
200#2448C2212yescomplemented
201#2448C2211yescharacteristic, complemented
202#2447C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2445C2212yescomplemented
209#2445C2212yescomplemented
210#2445C2212yescomplemented
211#2445C2214yescomplemented
212#2445C2212yescomplemented
213#2435C2212yescomplemented
214#2433C2212yes—
215#2433C2212yes—
216#2433C2212yescomplemented
217#2433C2212yescomplemented
218#2433C2212yescomplemented
219#2433C2212yescomplemented
220#2433C2212yescomplemented
221#2433C2212yescomplemented
222#2433C2212yescomplemented
223#2433C2212yescomplemented
224#2433C2212yescomplemented
225#2433C2212yescomplemented
226#2432C2212yescomplemented
227#2432C2212yescomplemented
228#2432C2212yescomplemented
229#2431C2212yescomplemented
230#2431C2212yescomplemented
231#2431C2212yescomplemented
232#2431C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2428C2212yescomplemented
238#2428C2212yescomplemented
239#2427C2212yescomplemented
240#2427C2212yescomplemented
241#2426C2211yescharacteristic
242#2426C2212yescomplemented
243#2426C2212yescomplemented
244#2426C2212yescomplemented
245#2426C2212yescomplemented
246#2424C2214yescomplemented
247#2424C2214yescomplemented
248#2424C2214yescomplemented
249#2424C2214yescomplemented
250#2422C2212yescomplemented
251#2421C2211yescharacteristic, complemented
252#2420C2212yescomplemented
253#2418C2214yescomplemented
254#2412C2214yescomplemented
255#2410C2214yescomplemented
256#2410C2214yescomplemented
257#2408C2212yes—
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2212yes—
261#2401C2212yescomplemented
262#2401C2212yescomplemented
263#2398C2212yescomplemented
264#2396C2212yescomplemented
265#2395C2212yescomplemented
266#2395C2212yescomplemented
267#2367C2212yescomplemented
268#2366C2211yescharacteristic, complemented
269#2366C2211yescharacteristic, complemented
270#2366C2211yescharacteristic, complemented
271#2366C2212yescomplemented
272#2365C2211yescharacteristic, complemented
273#2341C2212yescomplemented
274#2341C2212yescomplemented
275#2341C2212yescomplemented
276D4×C22⋊C4C2212yescomplemented
277D4×C22⋊C4C2212yescomplemented
278D4×C22⋊C4C2212yescomplemented
279#2328C2212yescomplemented
280#2326C2212yescomplemented
281#2324C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2212yescomplemented
284C4×#125C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic, complemented
287C4×#124C2212yescomplemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2298C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic, complemented
295#2293C2212yescomplemented
296#2293C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#559—48no—
308#557—44no—
309#550—44no—
310#550—44no—
311#546—48no—
312#546—48no—
313#546—48no—
314D42—44no—
315#542—48no—
316#535—48no—
317#535—48no—
318#535—48no—
319#535—48no—
320#532—44no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2312yes—
324C2×#127—44no—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#126C2314yes—
348C2×#125C2311yescharacteristic
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2311yescharacteristic
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×#117C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#399C2314yes—
470#399C2314yes—
471#399C2312yes—
472#399C2312yes—
473#399C2312yes—
474#399C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#397C2312yes—
497#397C2312yes—
498#397C2312yes—
499#397C2312yes—
500#397C2312yes—
501#397C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2312yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#395C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#393C2312yes—
567#393C2312yes—
568#393C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2311yescharacteristic
658#390C2311yescharacteristic
659#390C2314yes—
660#390C2314yes—
661#390C2312yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#384C2311yescharacteristic
762#384C2312yes—
763#382C2311yescharacteristic
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#381C2314yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820#376C2311yescharacteristic
821#376C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—82no—
854C22×D4—82no—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—44no—
904#127—24no—
905#127—24no—
906#127—24no—
907#127—28no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—44no—
922#127—82no—
923#127—82no—
924#127—82no—
925#127—82no—
926#126—48no—
927#125—42no—
928#125—44no—
929#125—48no—
930#124—24no—
931#124—28no—
932#124—28no—
933#124—24no—
934#124—28no—
935#124—48no—
936#124—44no—
937#124—44no—
938#124—44no—
939#124—44no—
940#124—44no—
941#124—44no—
942#124—44no—
943#124—48no—
944#124—84no—
945#123—48no—
946#123—48no—
947#123—48no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—84no—
952#123—84no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—48no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958#121—24no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—42no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—84no—
984#121—84no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—48no—
993#120—48no—
994#120—48no—
995#120—48no—
996#120—48no—
997#120—84no—
998#120—84no—
999#120—84no—
1000#120—84no—
1001#120—84no—
1002#120—84no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—44no—
1007C4×Q8—42no—
1008C4×Q8—44no—
1009C4×Q8—44no—
1010C4×Q8—44no—
1011C4×D4—28no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—48no—
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—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—84no—
1027#117—24no—
1028#117—24no—
1029#117—28no—
1030#117—44no—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C22⋊C4—48no—
1081C2×C22⋊C4—48no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C42—24no—
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
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#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246C24—28no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24C2512yes—
1261C24C2512yes—
1262C24C2514yes—
1263C24C2514yes—
1264C24C2514yes—
1265C24C2511yescharacteristic
1266#41—816no—
1267#41—816no—
1268#41—816no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×Q8—42no—
1279C2×Q8—42no—
1280C2×Q8H(5,𝔽2)14yes—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—816no—
1387C2×D4—816no—
1388C2×D4—816no—
1389C2×D4—816no—
1390C2×D4—816no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4H(5,𝔽2)14yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—24no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—42no—
1600C42—42no—
1601C42—44no—
1602C42—44no—
1603C42—42no—
1604C42—41no—
1605C42—41no—
1606C42—41no—
1607C42—41no—
1608C42H(5,𝔽2)14yes—
1609C42H(5,𝔽2)14yes—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—24no—
1618C23—24no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—24no—
1629C23—24no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—22no—
1638C23—22no—
1639C23—24no—
1640C23—24no—
1641C23—24no—
1642C23—22no—
1643C23—22no—
1644C23—24no—
1645C23—24no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—164no—
1660C23—164no—
1661C23—164no—
1662C23—164no—
1663C23—164no—
1664C23—164no—
1665C23C2×H(5,𝔽2)12yes—
1666C23C2611yescharacteristic
1667Q8—28no—
1668Q8—48no—
1669Q8—44no—
1670Q8—84no—
1671D4—48no—
1672D4—44no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—44no—
1678D4—48no—
1679D4—84no—
1680D4—88no—
1681D4—88no—
1682D4—88no—
1683D4—84no—
1684D4—84no—
1685D4—88no—
1686D4—84no—
1687D4—84no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699D4—164no—
1700D4—164no—
1701D4—164no—
1702D4—164no—
1703D4—164no—
1704D4—164no—
1705D4—164no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—28no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—44no—
1784C2×C4—48no—
1785C2×C4—44no—
1786C2×C4—48no—
1787C2×C4—88no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—164no—
1791C2×C4—164no—
1792C2×C4—164no—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)14yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4#58512yes—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—44no—
1815C22—44no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—44no—
1827C22—44no—
1828C22—44no—
1829C22—44no—
1830C22—44no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—44no—
1838C22—44no—
1839C22—44no—
1840C22—42no—
1841C22—44no—
1842C22—44no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—1616no—
1847C22—1616no—
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C22×H(5,𝔽2)11yescharacteristic
1850C22C22×H(5,𝔽2)11yescharacteristic
1851C22C22×H(5,𝔽2)11yescharacteristic
1852C22C2×#58511yescharacteristic
1853C22H(7,𝔽2)11yescharacteristic
1854C22H(7,𝔽2)11yescharacteristic
1855C4—24no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—44no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—41no—
1882C4#354314yes—
1883C4#355814yes—
1884C2—42no—
1885C2—84no—
1886C2—84no—
1887C2—84no—
1888C2—82no—
1889C2—82no—
1890C2C2×#355811yescharacteristic
1891C2C2×#354311yescharacteristic
1892C2#6287611yescharacteristic
1893C2#6291611yescharacteristic
1894C2#6291611yescharacteristic
1895C2#6295511yescharacteristic
1896C2#6296111yescharacteristic
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. #59124C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #59035C2semidirect
5. #57191C2semidirect
6. #55165C2semidirect
7. #53608C2semidirect
8. #53503C2semidirect
9. #53088C2semidirect
10. #53000C2semidirect
11. #52986C2semidirect
12. #52973C2semidirect
13. #45057C2semidirect
14. #44957C2semidirect
15. #42966C2semidirect
16. #42966C2semidirect
17. #42895C2semidirect
18. #42616C2semidirect
19. #42589C2semidirect
20. #42435C2semidirect
21. #39770C2semidirect
22. #39419C2semidirect
23. #39387C2semidirect
24. #39361C2semidirect
25. #39361C2semidirect
26. #39355C2semidirect
27. #39202C2semidirect
28. #39174C2semidirect
29. #37587C2semidirect
30. #37305C2semidirect
31. #36595C2semidirect
32. #36583C2semidirect
33. #35274C2semidirect
34. #34915C2semidirect
35. #34619C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×D42C22semidirect
44. C2×#542C22semidirect
45. C2×#535C22semidirect
46. C2×#535C22semidirect
47. C2×#535C22semidirect
48. C2×#535C22semidirect
50. C22×#127C22semidirect
53. #2858C22semidirect
54. #2858C22semidirect
55. #2858C22semidirect
56. #2858C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2826C22semidirect
62. #2825C22semidirect
63. #2825C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2812C22semidirect
68. #2812C22semidirect
69. #2797C22semidirect
70. #2778C22semidirect
71. #2778C22semidirect
72. #2752C22semidirect
73. #2730C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2711C22semidirect
77. #2711C22semidirect
78. #2711C22semidirect
79. #2709C22semidirect
80. #2709C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2693C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
90. #2682C22semidirect
91. #2682C22semidirect
92. #2679C22semidirect
93. #2679C22semidirect
94. #2679C22semidirect
95. #2679C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
116. #2668C22semidirect
117. #2661C22semidirect
118. #2661C22semidirect
119. #2657C22semidirect
120. #2657C22semidirect
121. #2654C22semidirect
122. #2653C22semidirect
123. #2650C22semidirect
124. #2649C22semidirect
125. #2648C22semidirect
126. #2647C22semidirect
127. #2645C22semidirect
128. #2644C22semidirect
129. #2641C22semidirect
130. #2641C22semidirect
131. #2640C22semidirect
132. #2635C22semidirect
133. #2630C22semidirect
134. #2628C22semidirect
135. #2625C22semidirect
137. #2624C22semidirect
138. #2622C22semidirect
140. #2620C22semidirect
141. #2619C22semidirect
142. #2619C22semidirect
143. #2617C22semidirect
144. #2617C22semidirect
145. #2597C22semidirect
146. #2596C22semidirect
147. #2595C22semidirect
148. #2594C22semidirect
149. #2566C22semidirect
150. #2559C22semidirect
151. #2555C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2548C22semidirect
155. #2548C22semidirect
156. #2548C22semidirect
157. #2548C22semidirect
158. #2548C22semidirect
159. #2548C22semidirect
160. #2548C22semidirect
161. #2548C22semidirect
162. #2547C22semidirect
163. #2547C22semidirect
164. #2545C22semidirect
165. #2544C22semidirect
166. #2544C22semidirect
167. #2544C22semidirect
168. #2544C22semidirect
169. #2542C22semidirect
174. #2541C22semidirect
175. #2541C22semidirect
176. #2541C22semidirect
177. #2541C22semidirect
178. #2539C22semidirect
179. #2539C22semidirect
180. #2538C22semidirect
182. #2513C22semidirect
183. #2512C22semidirect
184. #2509C22semidirect
185. #2494C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2490C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2472C22semidirect
194. #2464C22semidirect
195. #2460C22semidirect
196. #2457C22semidirect
197. #2454C22semidirect
198. #2453C22semidirect
199. #2448C22semidirect
200. #2448C22semidirect
201. #2448C22semidirect
202. #2447C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
213. #2435C22semidirect
216. #2433C22semidirect
217. #2433C22semidirect
218. #2433C22semidirect
219. #2433C22semidirect
220. #2433C22semidirect
221. #2433C22semidirect
222. #2433C22semidirect
223. #2433C22semidirect
224. #2433C22semidirect
225. #2433C22semidirect
226. #2432C22semidirect
227. #2432C22semidirect
228. #2432C22semidirect
229. #2431C22semidirect
230. #2431C22semidirect
231. #2431C22semidirect
232. #2431C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2428C22semidirect
238. #2428C22semidirect
239. #2427C22semidirect
240. #2427C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
244. #2426C22semidirect
245. #2426C22semidirect
246. #2424C22semidirect
247. #2424C22semidirect
248. #2424C22semidirect
249. #2424C22semidirect
250. #2422C22semidirect
251. #2421C22semidirect
252. #2420C22semidirect
253. #2418C22semidirect
254. #2412C22semidirect
255. #2410C22semidirect
256. #2410C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
261. #2401C22semidirect
262. #2401C22semidirect
263. #2398C22semidirect
264. #2396C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. #2367C22semidirect
268. #2366C22semidirect
269. #2366C22semidirect
270. #2366C22semidirect
271. #2366C22semidirect
272. #2365C22semidirect
273. #2341C22semidirect
274. #2341C22semidirect
275. #2341C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. D4×C22⋊C4C22semidirect
279. #2328C22semidirect
280. #2326C22semidirect
281. #2324C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#125C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
287. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
292. #2298C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2293C22semidirect
297. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#591242
#590782
#590352
#571912
#551652
#536082
#535032
#530882
#530002
#529862
#529732
#450572
#449572
#429662
#428952
#426162
#425892
#424352
#397702
#394192
#393872
#393612
#393552
#392022
#391742
#375872
#373052
#365952
#365832
#352742
#349152
#346192