Finite Group Databasebeta

← #8459267

Subgroups — #8459267

Order 512.

5917 conjugacy classes of subgroups.

The subgroup lattice has 1899 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#58901C214yesmaximal, complemented
5#56299C214yesmaximal, complemented
6#55419C214yesmaximal, complemented
7#53116C212yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#47946C214yesmaximal, complemented
10#45997C212yesmaximal, complemented
11#45484C212yesmaximal, complemented
12#44929C212yesmaximal, complemented
13#44874C212yesmaximal, complemented
14#42581C212yesmaximal, complemented
15#42575C212yesmaximal, complemented
16#42474C212yesmaximal, complemented
17#42422C212yesmaximal, complemented
18#40030C212yesmaximal, complemented
19#40026C212yesmaximal, complemented
20#39770C211yesmaximal, characteristic, complemented
21#39745C211yesmaximal, characteristic, complemented
22#39726C211yesmaximal, characteristic, complemented
23#39351C211yesmaximal, characteristic, complemented
24#38250C212yesmaximal, complemented
25#38090C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36273C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35285C211yesmaximal, characteristic, complemented
33#35272C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#559C2211yescharacteristic, complemented
38C2×#555C2212yescomplemented
39C2×#550C2211yescharacteristic, complemented
40C2×#546C2212yescomplemented
41C2×D42C2212yes—
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×#542C2212yescomplemented
45C2×#535C2212yescomplemented
46C2×#533C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C22×#127C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic, complemented
50#2867C2211yescharacteristic
51#2858C2212yescomplemented
52#2858C2212yescomplemented
53#2858C2212yescomplemented
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2856C2212yescomplemented
57#2856C2212yescomplemented
58#2854C2212yescomplemented
59#2830C2214yescomplemented
60#2828C2214yescomplemented
61#2825C2214yescomplemented
62#2824C2214yescomplemented
63#2819C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yescomplemented
66#2812C2214yescomplemented
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2797C2214yescomplemented
70#2778C2214yescomplemented
71#2753C2214yescomplemented
72#2730C2214yescomplemented
73#2723C2214yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2711C2214yescomplemented
77#2709C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2707C2214yescomplemented
81#2703C2214yescomplemented
82#2701C2214yescomplemented
83#2697C2214yescomplemented
84#2697C2214yescomplemented
85#2697C2214yescomplemented
86#2696C2214yescomplemented
87#2688C2214yescomplemented
88#2685C2214yescomplemented
89#2684C2214yescomplemented
90#2684C2214yescomplemented
91#2684C2214yescomplemented
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2681C2214yescomplemented
95#2681C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2668C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2657C2212yescomplemented
117#2648C2214yescomplemented
118#2648C2214yescomplemented
119#2644C2212yescomplemented
120#2644C2212yescomplemented
121#2641C2214yescomplemented
122#2641C2212yescomplemented
123#2640C2212yescomplemented
124#2640C2212yescomplemented
125#2638C2214yescomplemented
126#2624C2212yescomplemented
127#2622C2214yescomplemented
128#2620C2212yescomplemented
129#2619C2214yescomplemented
130#2617C2214yescomplemented
131#2613C2214yes—
132#2610C2214yescomplemented
133#2602C2214yescomplemented
134#2592C2212yescomplemented
135#2582C2211yescharacteristic, complemented
136#2559C2214yescomplemented
137#2557C2214yescomplemented
138#2555C2214yescomplemented
139#2551C2211yescharacteristic, complemented
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yescomplemented
144#2548C2211yescharacteristic, complemented
145#2548C2211yescharacteristic, complemented
146#2548C2211yescharacteristic, complemented
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2548C2212yescomplemented
150#2545C2212yescomplemented
151#2544C2212yescomplemented
152#2544C2212yescomplemented
153#2544C2212yescomplemented
154#2544C2212yescomplemented
155#2544C2212yescomplemented
156#2542C2212yescomplemented
157#2541C2212yes—
158#2541C2212yes—
159#2541C2212yes—
160#2541C2211yescharacteristic
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2541C2211yescharacteristic, complemented
164#2541C2212yescomplemented
165#2538C2212yescomplemented
166#2530C2212yescomplemented
167#2528C2212yescomplemented
168#2517C2212yescomplemented
169#2513C2212yescomplemented
170#2512C2212yescomplemented
171#2511C2211yescharacteristic, complemented
172#2506C2211yescharacteristic, complemented
173#2500C2212yescomplemented
174#2499C2211yescharacteristic, complemented
175#2494C2211yescharacteristic, complemented
176#2491C2212yescomplemented
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2490C2212yescomplemented
180#2489C2211yescharacteristic, complemented
181#2485C2211yescharacteristic
182#2477C2212yescomplemented
183#2476C2214yescomplemented
184#2476C2214yescomplemented
185#2475C2212yescomplemented
186#2472C2214yescomplemented
187#2472C2214yescomplemented
188#2472C2214yescomplemented
189#2471C2214yescomplemented
190#2471C2214yescomplemented
191#2464C2214yescomplemented
192#2463C2212yes—
193#2460C2212yes—
194#2460C2212yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2452C2212yescomplemented
199#2452C2211yescharacteristic, complemented
200#2448C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2446C2211yescharacteristic, complemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2445C2212yescomplemented
209#2445C2212yescomplemented
210#2445C2212yescomplemented
211#2445C2212yescomplemented
212#2445C2212yescomplemented
213#2441C2211yescharacteristic, complemented
214#2439C2211yescharacteristic, complemented
215#2435C2214yes—
216#2435C2212yescomplemented
217#2435C2212yescomplemented
218#2435C2212yescomplemented
219#2435C2214yescomplemented
220#2435C2212yescomplemented
221#2433C2212yes—
222#2433C2212yes—
223#2433C2212yes—
224#2433C2212yes—
225#2433C2212yes—
226#2433C2212yes—
227#2433C2212yescomplemented
228#2432C2211yescharacteristic, complemented
229#2431C2212yescomplemented
230#2431C2212yescomplemented
231#2431C2212yescomplemented
232#2431C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2427C2211yescharacteristic, complemented
238#2427C2212yescomplemented
239#2426C2212yescomplemented
240#2422C2212yescomplemented
241#2422C2212yescomplemented
242#2421C2211yescharacteristic, complemented
243#2415C2211yescharacteristic
244#2415C2211yescharacteristic
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2411C2214yescomplemented
248#2410C2214yes—
249#2410C2214yescomplemented
250#2408C2214yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2407C2211yescharacteristic
255#2407C2212yescomplemented
256#2405C2214yes—
257#2405C2214yescomplemented
258#2401C2212yescomplemented
259#2398C2212yescomplemented
260#2395C2212yes—
261#2392C2212yes—
262#2367C2212yescomplemented
263#2367C2212yescomplemented
264#2366C2211yescharacteristic, complemented
265#2366C2211yescharacteristic, complemented
266#2363C2212yescomplemented
267#2363C2212yescomplemented
268#2363C2212yescomplemented
269#2354C2211yescharacteristic, complemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271D4×C22⋊C4C2212yescomplemented
272D4×C22⋊C4C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274#2333C2214yescomplemented
275#2328C2212yescomplemented
276#2328C2212yescomplemented
277#2324C2212yescomplemented
278#2309C2212yescomplemented
279#2309C2212yescomplemented
280#2309C2212yescomplemented
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic, complemented
283C4×#125C2212yescomplemented
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290#2298C2212yescomplemented
291#2297C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2295C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2290C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308#562—416no—
309#559—44no—
310#555—48no—
311#550—44no—
312#546—48no—
313D42—48no—
314D42—48no—
315D42—48no—
316#542—48no—
317#535—48no—
318#533—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127—44no—
324C2×#127—44no—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
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×#126C2314yes—
344C2×#125C2312yes—
345C2×#125C2311yescharacteristic
346C2×#125C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
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—
416C4×#41—44no—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2312yes—
447C2×#117C2314yes—
448C2×#117C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#401C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#399C2314yes—
462#399C2312yes—
463#399C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#395C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2314yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#382C2312yes—
761#381C2314yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820#376C2312yes—
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2414yes—
825C25C2414yes—
826C2×#41—24no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
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—48no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—48no—
855C22×D4—48no—
856C22×D4—82no—
857C22×D4—82no—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C4⋊Q8—42no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906C4⋊Q8—42no—
907#127—24no—
908#127—24no—
909#127—24no—
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—44no—
923#127—44no—
924#127—82no—
925#126—48no—
926#125—28no—
927#125—42no—
928#125—44no—
929#124—48no—
930#124—48no—
931#124—44no—
932#124—44no—
933#124—42no—
934#124—44no—
935#124—44no—
936#124—44no—
937#124—44no—
938#124—44no—
939#124—44no—
940#124—48no—
941#124—48no—
942#124—48no—
943#124—84no—
944#123—48no—
945#123—48no—
946#123—48no—
947#123—48no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—84no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—48no—
956C22⋊Q8—48no—
957C22⋊Q8—48no—
958C22⋊Q8—44no—
959C22⋊Q8—48no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
963#121—28no—
964#121—28no—
965#121—216no—
966#121—44no—
967#121—44no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—44no—
976#121—42no—
977#121—44no—
978#121—48no—
979#121—48no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—48no—
986#121—84no—
987#121—84no—
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—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—44no—
1002C4×Q8—42no—
1003C4×Q8—44no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—44no—
1010C4×D4—42no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022#117—28no—
1023#117—24no—
1024#117—44no—
1025#117—44no—
1026#117—48no—
1027#117—42no—
1028#117—42no—
1029#117—44no—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C22⋊C4—48no—
1082C2×C22⋊C4—84no—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—44no—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2414yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2412yes—
1214#95C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
1246C24—28no—
1247C24—28no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24C2514yes—
1261C24C2514yes—
1262C24C2514yes—
1263C24C2512yes—
1264C24C2511yescharacteristic
1265C24C2511yescharacteristic
1266#41—416no—
1267#41—816no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—42no—
1279C2×Q8—42no—
1280C2×Q8—44no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—22no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
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—816no—
1377C2×D4—816no—
1378C2×D4—816no—
1379C2×D4—816no—
1380C2×D4—816no—
1381C2×D4—816no—
1382C2×D4—832no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
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×C4H(5,𝔽2)14yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4H(5,𝔽2)14yes—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
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—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—22no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—44no—
1607C42—44no—
1608C42—42no—
1609C42—41no—
1610C42H(5,𝔽2)14yes—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—24no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—24no—
1643C23—24no—
1644C23—24no—
1645C23—22no—
1646C23—24no—
1647C23—24no—
1648C23—24no—
1649C23—24no—
1650C23—22no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—88no—
1660C23—88no—
1661C23—164no—
1662C23—164no—
1663C23—164no—
1664C23—164no—
1665C23C2×H(5,𝔽2)12yes—
1666C23C2×H(5,𝔽2)12yes—
1667C23C2611yescharacteristic
1668Q8—44no—
1669Q8—44no—
1670Q8—44no—
1671Q8—84no—
1672Q8—164no—
1673D4—28no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—48no—
1679D4—44no—
1680D4—48no—
1681D4—48no—
1682D4—48no—
1683D4—88no—
1684D4—88no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—84no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699D4—164no—
1700D4—164no—
1701D4—164no—
1702D4—164no—
1703D4—164no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—28no—
1717C2×C4—28no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—48no—
1787C2×C4—84no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—164no—
1792C2×C4—164no—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
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—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—44no—
1827C22—44no—
1828C22—44no—
1829C22—44no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—44no—
1834C22—44no—
1835C22—44no—
1836C22—42no—
1837C22—44no—
1838C22—44no—
1839C22—42no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—42no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—1616no—
1848C22—1616no—
1849C22C22×H(5,𝔽2)11yescharacteristic
1850C22C22×H(5,𝔽2)11yescharacteristic
1851C22C22×H(5,𝔽2)11yescharacteristic
1852C22C22×H(5,𝔽2)11yescharacteristic
1853C22C2×#58511yescharacteristic
1854C22C2×#58511yescharacteristic
1855C22H(7,𝔽2)11yescharacteristic
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—44no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—41no—
1877C4—42no—
1878C4—42no—
1879C4—41no—
1880C4—42no—
1881C4—41no—
1882C4—42no—
1883C4#354214yes—
1884C4#355814yes—
1885C2—42no—
1886C2—42no—
1887C2—82no—
1888C2—84no—
1889C2—84no—
1890C2—84no—
1891C2C2×#354211yescharacteristic
1892C2C2×#355811yescharacteristic
1893C2#6283211yescharacteristic
1894C2#6291211yescharacteristic
1895C2#6295511yescharacteristic
1896C2#6296111yescharacteristic
1897C2#6303511yescharacteristic
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. #59646C2semidirect
2. #59143C2semidirect
3. #59124C2semidirect
4. #58901C2semidirect
5. #56299C2semidirect
6. #55419C2semidirect
7. #53116C2semidirect
8. #53000C2semidirect
9. #47946C2semidirect
10. #45997C2semidirect
11. #45484C2semidirect
12. #44929C2semidirect
13. #44874C2semidirect
14. #42581C2semidirect
15. #42575C2semidirect
16. #42474C2semidirect
17. #42422C2semidirect
18. #40030C2semidirect
19. #40026C2semidirect
20. #39770C2semidirect
21. #39745C2semidirect
22. #39726C2semidirect
23. #39351C2semidirect
24. #38250C2semidirect
25. #38090C2semidirect
26. #37629C2semidirect
27. #37331C2semidirect
28. #37305C2semidirect
29. #36410C2semidirect
30. #36273C2semidirect
31. D4×#127C2semidirect
32. #35285C2semidirect
33. #35272C2semidirect
34. #34793C2semidirect
35. #34720C2semidirect
36. C2×#562C22semidirect
37. C2×#559C22semidirect
38. C2×#555C22semidirect
39. C2×#550C22semidirect
40. C2×#546C22semidirect
44. C2×#542C22semidirect
45. C2×#535C22semidirect
46. C2×#533C22semidirect
49. C2×C4×#41C22semidirect
51. #2858C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2854C22semidirect
59. #2830C22semidirect
60. #2828C22semidirect
61. #2825C22semidirect
62. #2824C22semidirect
63. #2819C22semidirect
64. #2813C22semidirect
65. #2812C22semidirect
66. #2812C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2797C22semidirect
70. #2778C22semidirect
71. #2753C22semidirect
72. #2730C22semidirect
73. #2723C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2711C22semidirect
77. #2709C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2707C22semidirect
81. #2703C22semidirect
82. #2701C22semidirect
83. #2697C22semidirect
84. #2697C22semidirect
85. #2697C22semidirect
86. #2696C22semidirect
87. #2688C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2681C22semidirect
95. #2681C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2672C22semidirect
110. #2671C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2668C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2657C22semidirect
117. #2648C22semidirect
118. #2648C22semidirect
119. #2644C22semidirect
120. #2644C22semidirect
121. #2641C22semidirect
122. #2641C22semidirect
123. #2640C22semidirect
124. #2640C22semidirect
125. #2638C22semidirect
126. #2624C22semidirect
127. #2622C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
130. #2617C22semidirect
132. #2610C22semidirect
133. #2602C22semidirect
134. #2592C22semidirect
135. #2582C22semidirect
136. #2559C22semidirect
137. #2557C22semidirect
138. #2555C22semidirect
139. #2551C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2545C22semidirect
151. #2544C22semidirect
152. #2544C22semidirect
153. #2544C22semidirect
154. #2544C22semidirect
155. #2544C22semidirect
156. #2542C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2541C22semidirect
165. #2538C22semidirect
166. #2530C22semidirect
167. #2528C22semidirect
168. #2517C22semidirect
169. #2513C22semidirect
170. #2512C22semidirect
171. #2511C22semidirect
172. #2506C22semidirect
173. #2500C22semidirect
174. #2499C22semidirect
175. #2494C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2490C22semidirect
180. #2489C22semidirect
182. #2477C22semidirect
183. #2476C22semidirect
184. #2476C22semidirect
185. #2475C22semidirect
186. #2472C22semidirect
187. #2472C22semidirect
188. #2472C22semidirect
189. #2471C22semidirect
190. #2471C22semidirect
191. #2464C22semidirect
194. #2460C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2452C22semidirect
200. #2448C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2446C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
213. #2441C22semidirect
214. #2439C22semidirect
216. #2435C22semidirect
217. #2435C22semidirect
218. #2435C22semidirect
219. #2435C22semidirect
220. #2435C22semidirect
227. #2433C22semidirect
228. #2432C22semidirect
229. #2431C22semidirect
230. #2431C22semidirect
231. #2431C22semidirect
232. #2431C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2427C22semidirect
238. #2427C22semidirect
239. #2426C22semidirect
240. #2422C22semidirect
241. #2422C22semidirect
242. #2421C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2411C22semidirect
249. #2410C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
255. #2407C22semidirect
257. #2405C22semidirect
258. #2401C22semidirect
259. #2398C22semidirect
262. #2367C22semidirect
263. #2367C22semidirect
264. #2366C22semidirect
265. #2366C22semidirect
266. #2363C22semidirect
267. #2363C22semidirect
268. #2363C22semidirect
269. #2354C22semidirect
270. Q8×C4⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. D4×C22⋊C4C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2333C22semidirect
275. #2328C22semidirect
276. #2328C22semidirect
277. #2324C22semidirect
278. #2309C22semidirect
279. #2309C22semidirect
280. #2309C22semidirect
282. C4×#125C22semidirect
283. C4×#125C22semidirect
284. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. #2298C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. #2285C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596462
#591432
#591242
#589012
#562992
#554192
#531162
#530002
#479462
#459972
#454842
#449292
#448742
#425812
#425752
#424742
#424222
#400302
#400262
#397702
#397452
#397262
#393512
#382502
#380902
#376292
#373312
#373052
#364102
#362732
D4×#1272
#352852
#352722
#347932
#347202