Finite Group Databasebeta

← #8425154

Subgroups — #8425154

Order 512.

6050 conjugacy classes of subgroups.

The subgroup lattice has 1980 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59408C212yesmaximal, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59004C212yesmaximal, complemented
6#55034C214yesmaximal, complemented
7#54921C214yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#53103C212yesmaximal, complemented
10#53014C212yesmaximal, complemented
11#52972C212yesmaximal, complemented
12#52486C214yesmaximal, complemented
13#42539C212yesmaximal, complemented
14#42480C212yesmaximal, complemented
15#42475C212yesmaximal, complemented
16#42420C212yesmaximal, complemented
17#40937C214yesmaximal, complemented
18#40116C212yesmaximal, complemented
19#39909C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#39042C212yesmaximal, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38910C211yesmaximal, characteristic, complemented
25#37658C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37437C212yesmaximal, complemented
30#36258C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32D4×#121C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#546C2212yescomplemented
38C2×D42C2212yes—
39C2×D42C2211yescharacteristic
40C2×D42C2212yescomplemented
41C2×D42C2211yescharacteristic, complemented
42C2×D42C2212yescomplemented
43C2×#535C2212yescomplemented
44C2×#532C2211yescharacteristic, complemented
45C2×#529C2211yescharacteristic, complemented
46C2×#525C2212yescomplemented
47C2×#525C2212yescomplemented
48C22×#121C2212yescomplemented
49C2×C4×#41C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic, complemented
51#2859C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2854C2212yescomplemented
55#2847C2212yescomplemented
56#2841C2214yescomplemented
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2828C2214yescomplemented
63#2827C2214yescomplemented
64#2816C2214yescomplemented
65#2815C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2214yescomplemented
69#2812C2214yescomplemented
70#2803C2214yescomplemented
71#2761C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2753C2214yescomplemented
76#2752C2214yescomplemented
77#2750C2214yescomplemented
78#2749C2214yescomplemented
79#2737C2214yescomplemented
80#2735C2214yescomplemented
81#2735C2214yescomplemented
82#2711C2214yescomplemented
83#2708C2214yescomplemented
84#2707C2214yescomplemented
85#2703C2214yescomplemented
86#2699C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2684C2214yescomplemented
93#2679C2214yescomplemented
94#2679C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2673C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2662C2214yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2648C2214yescomplemented
111#2644C2212yescomplemented
112#2644C2212yescomplemented
113#2641C2212yescomplemented
114#2635C2214yescomplemented
115#2630C2214yescomplemented
116#2628C2212yescomplemented
117#2624C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2620C2212yescomplemented
122#2619C2212yescomplemented
123#2617C2214yescomplemented
124#2616C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2613C2214yescomplemented
128#2613C2214yescomplemented
129#2613C2214yescomplemented
130#2597C2214yescomplemented
131#2593C2214yescomplemented
132#2562C2212yescomplemented
133#2562C2212yescomplemented
134#2561C2214yescomplemented
135#2559C2214yescomplemented
136#2552C2211yescharacteristic, complemented
137#2548C2211yescharacteristic, complemented
138#2541C2211yescharacteristic
139#2541C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2539C2214yescomplemented
143#2538C2211yescharacteristic, complemented
144#2538C2211yescharacteristic, complemented
145#2538C2211yescharacteristic, complemented
146#2537C2211yescharacteristic
147#2537C2212yescomplemented
148#2537C2211yescharacteristic, complemented
149#2537C2211yescharacteristic, complemented
150#2537C2212yescomplemented
151#2537C2211yescharacteristic, complemented
152#2537C2212yescomplemented
153#2536C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2534C2214yescomplemented
157#2513C2212yescomplemented
158#2513C2212yescomplemented
159#2507C2212yescomplemented
160#2500C2212yescomplemented
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2495C2212yescomplemented
164#2491C2212yescomplemented
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2487C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2486C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2479C2212yescomplemented
177#2472C2212yescomplemented
178#2471C2212yescomplemented
179#2468C2214yescomplemented
180#2467C2212yescomplemented
181#2464C2212yescomplemented
182#2464C2214yescomplemented
183#2461C2214yescomplemented
184#2461C2212yescomplemented
185#2456C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2211yescharacteristic, complemented
188#2452C2211yescharacteristic, complemented
189#2448C2211yescharacteristic, complemented
190#2445C2212yes—
191#2445C2214yescomplemented
192#2445C2211yescharacteristic, complemented
193#2445C2212yescomplemented
194#2442C2212yescomplemented
195#2441C2211yescharacteristic, complemented
196#2440C2211yescharacteristic, complemented
197#2435C2212yescomplemented
198#2433C2211yescharacteristic
199#2433C2212yescomplemented
200#2431C2211yescharacteristic
201#2428C2211yescharacteristic
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2211yescharacteristic, complemented
205#2427C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2212yescomplemented
211#2424C2214yescomplemented
212#2423C2211yescharacteristic, complemented
213#2422C2211yescharacteristic, complemented
214#2422C2212yescomplemented
215#2420C2212yescomplemented
216#2420C2212yescomplemented
217#2420C2212yescomplemented
218#2418C2214yescomplemented
219#2418C2214yescomplemented
220#2418C2214yescomplemented
221#2417C2212yescomplemented
222#2416C2212yescomplemented
223#2416C2212yescomplemented
224#2416C2211yescharacteristic, complemented
225#2416C2212yescomplemented
226#2416C2212yescomplemented
227#2415C2212yescomplemented
228#2414C2212yescomplemented
229#2414C2212yescomplemented
230#2414C2212yescomplemented
231#2414C2211yescharacteristic, complemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2414C2212yescomplemented
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2411C2214yescomplemented
240#2410C2214yescomplemented
241#2410C2214yescomplemented
242#2408C2212yes—
243#2408C2212yescomplemented
244#2408C2212yescomplemented
245#2408C2212yescomplemented
246#2408C2212yescomplemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2408C2211yescharacteristic, complemented
253#2408C2214yescomplemented
254#2408C2212yescomplemented
255#2408C2214yescomplemented
256#2407C2211yescharacteristic, complemented
257#2403C2214yescomplemented
258#2397C2212yescomplemented
259#2392C2214yescomplemented
260#2392C2212yescomplemented
261#2392C2212yescomplemented
262#2388C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2361C2212yescomplemented
266#2357C2212yescomplemented
267#2354C2211yescharacteristic, complemented
268#2354C2212yescomplemented
269#2354C2211yescharacteristic, complemented
270D4×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2347C2212yescomplemented
273D4×C22⋊C4C2214yescomplemented
274D4×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2335C2214yescomplemented
277#2324C2212yescomplemented
278#2319C2212yescomplemented
279#2309C2212yescomplemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#120C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2314yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2314yes—
308C24×C4C2312yes—
309#553—48no—
310#546—48no—
311D42—44no—
312D42—44no—
313D42—48no—
314D42—48no—
315D42—48no—
316#535—48no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2314yes—
325#529—44no—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2311yescharacteristic
335#525—48no—
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×#121—48no—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#120C2314yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2312yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C4×#41—44no—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4—44no—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2314yes—
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2312yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2312yes—
470#399C2312yes—
471#399C2314yes—
472#399C2314yes—
473#399C2312yes—
474#399C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2312yes—
511#396C2314yes—
512#395C2312yes—
513#395C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2314yes—
596#392C2314yes—
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#383C2314yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823#376C2312yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C25C2414yes—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—42no—
840C22×D4—42no—
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—48no—
852C22×D4—48no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4—48no—
856C22×D4—84no—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C23×C4—28no—
894C23×C4—44no—
895C23×C4—44no—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2412yes—
915C4⋊Q8—42no—
916#127—24no—
917#127—24no—
918#127—24no—
919#127—42no—
920#127—44no—
921#127—48no—
922#126—44no—
923#126—48no—
924#125—42no—
925#125—44no—
926#125—82no—
927#124—44no—
928#124—42no—
929#124—44no—
930#124—48no—
931#123—48no—
932#123—48no—
933#123—44no—
934#123—44no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—84no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—42no—
944C22⋊Q8—44no—
945#121—28no—
946#121—28no—
947#121—24no—
948#121—28no—
949#121—24no—
950#121—24no—
951#121—28no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—42no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—42no—
967#121—42no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—48no—
979#121—44no—
980#121—48no—
981#121—82no—
982#121—82no—
983#121—84no—
984#120—44no—
985#120—48no—
986#120—48no—
987#120—44no—
988#120—44no—
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—48no—
998#120—48no—
999#120—84no—
1000#120—84no—
1001C4×Q8—24no—
1002C4×Q8—42no—
1003C4×D4—28no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—44no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—42no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—48no—
1034C4×D4—48no—
1035C4×D4—48no—
1036#117—44no—
1037#117—44no—
1038#117—44no—
1039#117—44no—
1040#117—42no—
1041#117—44no—
1042#117—44no—
1043#117—44no—
1044C2×C4⋊C4—42no—
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C22⋊C4—44no—
1099C2×C22⋊C4—48no—
1100C2×C22⋊C4—48no—
1101C2×C22⋊C4—84no—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C42—24no—
1191C2×C42—24no—
1192C2×C42—44no—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257C24—24no—
1258C24—24no—
1259C24—28no—
1260C24—28no—
1261C24—42no—
1262C24—42no—
1263C24—42no—
1264C24—44no—
1265C24—42no—
1266C24—42no—
1267C24—44no—
1268C24—44no—
1269C24—44no—
1270C24—44no—
1271C24—44no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24C2512yes—
1279C24C2512yes—
1280C24C2514yes—
1281C24C2512yes—
1282C24C2511yescharacteristic
1283C24C2512yes—
1284C24C2512yes—
1285C24C2511yescharacteristic
1286#41—416no—
1287#41—816no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—42no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×D4—22no—
1295C2×D4—28no—
1296C2×D4—28no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—28no—
1310C2×D4—28no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—416no—
1401C2×D4—816no—
1402C2×D4—816no—
1403C2×D4—816no—
1404C2×D4—816no—
1405C2×D4—832no—
1406C2×D4—832no—
1407C2×D4H(5,𝔽2)14yes—
1408C2×D4H(5,𝔽2)14yes—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—28no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—816no—
1466C22×C4H(5,𝔽2)14yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2514yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C22⋊C4—28no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—24no—
1640C42—22no—
1641C42—24no—
1642C42—24no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—42no—
1648C42—42no—
1649C42—44no—
1650C42—44no—
1651C42—44no—
1652C42—44no—
1653C42—41no—
1654C42H(5,𝔽2)14yes—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—24no—
1676C23—22no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—21no—
1681C23—22no—
1682C23—24no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—21no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—24no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—24no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—48no—
1709C23—48no—
1710C23—84no—
1711C23—84no—
1712C23—84no—
1713C23—88no—
1714C23—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—88no—
1719C23—84no—
1720C23—84no—
1721C23—88no—
1722C23—88no—
1723C23—88no—
1724C23—88no—
1725C23—164no—
1726C23—164no—
1727C23—164no—
1728C23—164no—
1729C23C2×H(5,𝔽2)14yes—
1730C23C2×H(5,𝔽2)14yes—
1731C23C2×H(5,𝔽2)12yes—
1732C23C2611yescharacteristic
1733Q8—44no—
1734Q8—84no—
1735D4—28no—
1736D4—28no—
1737D4—48no—
1738D4—48no—
1739D4—416no—
1740D4—48no—
1741D4—44no—
1742D4—48no—
1743D4—48no—
1744D4—44no—
1745D4—48no—
1746D4—44no—
1747D4—44no—
1748D4—48no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—88no—
1756D4—88no—
1757D4—88no—
1758D4—88no—
1759D4—84no—
1760D4—84no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4—88no—
1765D4—88no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—164no—
1770D4—164no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—28no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—82no—
1854C2×C4—82no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—88no—
1858C2×C4—84no—
1859C2×C4—88no—
1860C2×C4—84no—
1861C2×C4—164no—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4#58512yes—
1870C2×C4#58512yes—
1871C22—22no—
1872C22—24no—
1873C22—24no—
1874C22—24no—
1875C22—22no—
1876C22—24no—
1877C22—22no—
1878C22—24no—
1879C22—24no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—42no—
1895C22—44no—
1896C22—42no—
1897C22—44no—
1898C22—42no—
1899C22—42no—
1900C22—41no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—41no—
1910C22—44no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—44no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—44no—
1920C22—42no—
1921C22—42no—
1922C22—41no—
1923C22—42no—
1924C22—42no—
1925C22—44no—
1926C22—42no—
1927C22—816no—
1928C22—1616no—
1929C22—1616no—
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C22×H(5,𝔽2)11yescharacteristic
1932C22C22×H(5,𝔽2)11yescharacteristic
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22C2×#58511yescharacteristic
1936C22H(7,𝔽2)11yescharacteristic
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—41no—
1945C4—44no—
1946C4—42no—
1947C4—41no—
1948C4—42no—
1949C4—42no—
1950C4—44no—
1951C4—42no—
1952C4—41no—
1953C4—41no—
1954C4—44no—
1955C4—41no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—42no—
1961C4—42no—
1962C4#353714yes—
1963C4#354214yes—
1964C2—42no—
1965C2—44no—
1966C2—44no—
1967C2—81no—
1968C2—82no—
1969C2—82no—
1970C2—84no—
1971C2—82no—
1972C2C2×#354211yescharacteristic
1973C2C2×#353711yescharacteristic
1974C2#6275911yescharacteristic
1975C2#6291211yescharacteristic
1976C2#6292011yescharacteristic
1977C2#6293011yescharacteristic
1978C2#6301211yescharacteristic
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. #59816C2semidirect
2. #59408C2semidirect
3. #59228C2semidirect
4. #59213C2semidirect
5. #59004C2semidirect
6. #55034C2semidirect
7. #54921C2semidirect
8. #53129C2semidirect
9. #53103C2semidirect
10. #53014C2semidirect
11. #52972C2semidirect
12. #52486C2semidirect
13. #42539C2semidirect
14. #42480C2semidirect
15. #42475C2semidirect
16. #42420C2semidirect
17. #40937C2semidirect
18. #40116C2semidirect
19. #39909C2semidirect
20. #39342C2semidirect
21. #39191C2semidirect
22. #39042C2semidirect
23. #38975C2semidirect
24. #38910C2semidirect
25. #37658C2semidirect
26. #37625C2semidirect
27. #37621C2semidirect
28. #37493C2semidirect
29. #37437C2semidirect
30. #36258C2semidirect
31. #36211C2semidirect
32. D4×#121C2semidirect
33. #34935C2semidirect
34. #34727C2semidirect
35. #34681C2semidirect
36. C2×#553C22semidirect
37. C2×#546C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
42. C2×D42C22semidirect
43. C2×#535C22semidirect
44. C2×#532C22semidirect
45. C2×#529C22semidirect
46. C2×#525C22semidirect
47. C2×#525C22semidirect
48. C22×#121C22semidirect
49. C2×C4×#41C22semidirect
50. C22×C4×D4C22semidirect
51. #2859C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
55. #2847C22semidirect
56. #2841C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2828C22semidirect
63. #2827C22semidirect
64. #2816C22semidirect
65. #2815C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2812C22semidirect
69. #2812C22semidirect
70. #2803C22semidirect
71. #2761C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2753C22semidirect
76. #2752C22semidirect
77. #2750C22semidirect
78. #2749C22semidirect
79. #2737C22semidirect
80. #2735C22semidirect
81. #2735C22semidirect
82. #2711C22semidirect
83. #2708C22semidirect
84. #2707C22semidirect
85. #2703C22semidirect
86. #2699C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2684C22semidirect
93. #2679C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2673C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
103. #2670C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2662C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2648C22semidirect
111. #2644C22semidirect
112. #2644C22semidirect
113. #2641C22semidirect
114. #2635C22semidirect
115. #2630C22semidirect
116. #2628C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
121. #2620C22semidirect
122. #2619C22semidirect
123. #2617C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2613C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2597C22semidirect
131. #2593C22semidirect
132. #2562C22semidirect
133. #2562C22semidirect
134. #2561C22semidirect
135. #2559C22semidirect
136. #2552C22semidirect
137. #2548C22semidirect
139. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2539C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2536C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2513C22semidirect
158. #2513C22semidirect
159. #2507C22semidirect
160. #2500C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2495C22semidirect
164. #2491C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2487C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2486C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2479C22semidirect
177. #2472C22semidirect
178. #2471C22semidirect
179. #2468C22semidirect
180. #2467C22semidirect
181. #2464C22semidirect
182. #2464C22semidirect
183. #2461C22semidirect
184. #2461C22semidirect
185. #2456C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2452C22semidirect
189. #2448C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2442C22semidirect
195. #2441C22semidirect
196. #2440C22semidirect
197. #2435C22semidirect
199. #2433C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2423C22semidirect
213. #2422C22semidirect
214. #2422C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2420C22semidirect
218. #2418C22semidirect
219. #2418C22semidirect
220. #2418C22semidirect
221. #2417C22semidirect
222. #2416C22semidirect
223. #2416C22semidirect
224. #2416C22semidirect
225. #2416C22semidirect
226. #2416C22semidirect
227. #2415C22semidirect
228. #2414C22semidirect
229. #2414C22semidirect
230. #2414C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2411C22semidirect
240. #2410C22semidirect
241. #2410C22semidirect
243. #2408C22semidirect
244. #2408C22semidirect
245. #2408C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2407C22semidirect
257. #2403C22semidirect
258. #2397C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2388C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2361C22semidirect
266. #2357C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2347C22semidirect
273. D4×C22⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
276. #2335C22semidirect
277. #2324C22semidirect
278. #2319C22semidirect
279. #2309C22semidirect
281. C4×#127C22semidirect
282. C4×#127C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
293. C2×#390C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. #2280C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#594082
#592282
#592132
#590042
#550342
#549212
#531292
#531032
#530142
#529722
#524862
#425392
#424802
#424752
#424202
#409372
#401162
#399092
#393422
#391912
#390422
#389752
#389102
#376582
#376252
#376212
#374932
#374372
#362582
#362112
D4×#1212
#349352
#347272
#346812