Finite Group Databasebeta

← #8466988

Subgroups — #8466988

Order 512.

5903 conjugacy classes of subgroups.

The subgroup lattice has 1927 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#58412C214yesmaximal, complemented
5#57369C214yesmaximal, complemented
6#54927C214yesmaximal, complemented
7#53000C212yesmaximal, complemented
8#52977C212yesmaximal, complemented
9#49589C214yesmaximal, complemented
10#45655C212yesmaximal, complemented
11#45642C212yesmaximal, complemented
12#44872C212yesmaximal, complemented
13#44868C212yesmaximal, complemented
14#42988C212yesmaximal, complemented
15#42642C212yesmaximal, complemented
16#42629C212yesmaximal, complemented
17#42624C212yesmaximal, complemented
18#39342C211yesmaximal, characteristic, complemented
19#39156C211yesmaximal, characteristic, complemented
20#39136C211yesmaximal, characteristic, complemented
21#38957C211yesmaximal, characteristic, complemented
22#38910C212yesmaximal, complemented
23#38910C212yesmaximal, complemented
24#37785C212yesmaximal, complemented
25#37775C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37300C212yesmaximal, complemented
29#36121C211yesmaximal, characteristic, complemented
30#36117C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35171C211yesmaximal, characteristic, complemented
33#35166C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#546C2212yescomplemented
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×D42C2212yes—
41C2×#540C2212yescomplemented
42C2×#537C2212yescomplemented
43C2×#537C2212yescomplemented
44C2×#535C2212yescomplemented
45C2×#532C2211yescharacteristic, complemented
46C2×#532C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C2×#529C2212yescomplemented
49C2×#529C2212yescomplemented
50C2×#529C2211yescharacteristic, complemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2856C2212yescomplemented
56#2856C2212yescomplemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2818C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yescomplemented
68#2803C2214yescomplemented
69#2803C2214yescomplemented
70#2803C2214yescomplemented
71#2801C2214yescomplemented
72#2797C2214yescomplemented
73#2777C2214yescomplemented
74#2741C2214yescomplemented
75#2740C2214yescomplemented
76#2735C2214yescomplemented
77#2730C2214yescomplemented
78#2730C2214yescomplemented
79#2727C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2705C2214yescomplemented
84#2705C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2702C2214yescomplemented
89#2697C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2685C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2672C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yes—
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2663C2214yescomplemented
118#2661C2214yescomplemented
119#2657C2212yescomplemented
120#2656C2214yescomplemented
121#2649C2214yescomplemented
122#2644C2212yescomplemented
123#2641C2212yescomplemented
124#2626C2214yescomplemented
125#2624C2214yescomplemented
126#2624C2214yescomplemented
127#2620C2212yescomplemented
128#2620C2212yescomplemented
129#2619C2212yescomplemented
130#2619C2212yescomplemented
131#2615C2212yescomplemented
132#2613C2214yescomplemented
133#2602C2214yescomplemented
134#2559C2212yescomplemented
135#2557C2212yescomplemented
136#2552C2211yescharacteristic, complemented
137#2550C2211yescharacteristic, complemented
138#2548C2211yescharacteristic
139#2548C2212yescomplemented
140#2548C2211yescharacteristic, complemented
141#2548C2212yescomplemented
142#2544C2211yescharacteristic, complemented
143#2544C2212yescomplemented
144#2542C2211yescharacteristic, complemented
145#2542C2211yescharacteristic, complemented
146#2542C2212yescomplemented
147#2541C2211yescharacteristic
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2540C2212yes—
154#2540C2211yescharacteristic
155#2540C2214yescomplemented
156#2540C2212yescomplemented
157#2540C2212yescomplemented
158#2540C2212yescomplemented
159#2539C2214yescomplemented
160#2538C2212yescomplemented
161#2538C2212yescomplemented
162#2538C2212yescomplemented
163#2537C2211yescharacteristic, complemented
164#2535C2211yescharacteristic, complemented
165#2525C2212yescomplemented
166#2521C2212yescomplemented
167#2516C2212yescomplemented
168#2513C2212yescomplemented
169#2513C2211yescharacteristic, complemented
170#2512C2212yescomplemented
171#2512C2212yescomplemented
172#2510C2212yescomplemented
173#2509C2211yescharacteristic, complemented
174#2504C2211yescharacteristic, complemented
175#2501C2212yescomplemented
176#2500C2212yescomplemented
177#2500C2212yescomplemented
178#2499C2212yescomplemented
179#2497C2212yescomplemented
180#2494C2211yescharacteristic, complemented
181#2492C2211yescharacteristic, complemented
182#2491C2212yescomplemented
183#2490C2212yes—
184#2490C2211yescharacteristic
185#2490C2211yescharacteristic, complemented
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2487C2211yescharacteristic, complemented
189#2479C2214yescomplemented
190#2477C2214yescomplemented
191#2472C2214yescomplemented
192#2471C2214yescomplemented
193#2471C2214yescomplemented
194#2467C2214yescomplemented
195#2467C2214yescomplemented
196#2464C2214yescomplemented
197#2464C2214yescomplemented
198#2464C2212yescomplemented
199#2456C2214yescomplemented
200#2454C2212yescomplemented
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2444C2212yescomplemented
208#2442C2211yescharacteristic, complemented
209#2441C2212yescomplemented
210#2435C2212yescomplemented
211#2435C2212yescomplemented
212#2435C2212yescomplemented
213#2435C2212yescomplemented
214#2435C2212yescomplemented
215#2433C2212yes—
216#2433C2212yes—
217#2433C2212yescomplemented
218#2433C2212yescomplemented
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2428C2211yescharacteristic
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2214yescomplemented
228#2428C2212yescomplemented
229#2427C2212yescomplemented
230#2427C2212yescomplemented
231#2427C2211yescharacteristic, complemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2425C2214yescomplemented
237#2422C2212yescomplemented
238#2422C2212yescomplemented
239#2421C2212yescomplemented
240#2416C2211yescharacteristic
241#2415C2212yescomplemented
242#2414C2214yescomplemented
243#2414C2214yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2410C2214yescomplemented
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2408C2214yescomplemented
254#2408C2214yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2403C2214yes—
259#2401C2212yescomplemented
260#2395C2212yescomplemented
261#2395C2212yescomplemented
262#2388C2212yescomplemented
263#2375C2214yescomplemented
264#2367C2212yescomplemented
265#2366C2211yescharacteristic
266#2366C2212yescomplemented
267#2365C2211yescharacteristic, complemented
268#2363C2212yescomplemented
269#2363C2212yescomplemented
270#2361C2212yescomplemented
271#2354C2212yescomplemented
272#2354C2212yescomplemented
273#2354C2211yescharacteristic, complemented
274Q8×C4⋊C4C2211yescharacteristic, complemented
275#2341C2212yescomplemented
276D4×C22⋊C4C2212yescomplemented
277D4×C22⋊C4C2212yescomplemented
278#2330C2212yescomplemented
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2309C2212yescomplemented
282#2309C2214yescomplemented
283C4×#127C2211yescharacteristic, complemented
284C4×#125C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2211yescharacteristic, complemented
292#2297C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2290C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#556—44no—
308#546—48no—
309D42—44no—
310D42—48no—
311D42—48no—
312#540—48no—
313#537—48no—
314#537—48no—
315#535—48no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127—44no—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331C2×#127C2311yescharacteristic
332#529—44no—
333#529—48no—
334#529—48no—
335C2×#126C2312yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#125C2311yescharacteristic
340C2×#125C2312yes—
341C2×#125C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2311yescharacteristic
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#124C2311yescharacteristic
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×#117C2312yes—
447C2×#117C2314yes—
448C2×#117C2314yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C22⋊C4C2314yes—
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2312yes—
458C22×C42C2312yes—
459#401C2312yes—
460#400C2312yes—
461#400C2314yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#399C2314yes—
467#399C2312yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2312yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#397C2312yes—
497#397C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#395C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#393C2314yes—
554#393C2312yes—
555#392C2314yes—
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#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#386C2312yes—
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#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#383C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#381C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823C2×#95C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—48no—
841C22×D4—48no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—48no—
853C22×D4—82no—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2412yes—
904C4⋊Q8—24no—
905C4⋊Q8—42no—
906#127—24no—
907#127—24no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—42no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—48no—
917#126—44no—
918#126—48no—
919#126—48no—
920#126—48no—
921#125—24no—
922#125—28no—
923#125—42no—
924#124—44no—
925#124—42no—
926#124—44no—
927#124—42no—
928#124—44no—
929#124—44no—
930#124—44no—
931#124—44no—
932#124—44no—
933#124—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937#123—44no—
938#123—48no—
939#123—48no—
940#123—84no—
941#123—84no—
942C22⋊Q8—24no—
943C22⋊Q8—28no—
944C22⋊Q8—48no—
945C22⋊Q8—42no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—48no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952#121—24no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—24no—
957#121—24no—
958#121—44no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968#121—42no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—42no—
973#121—42no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—48no—
987#121—48no—
988#121—84no—
989#121—82no—
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—
1001#120—84no—
1002C4×Q8—24no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×Q8—44no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—42no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—42no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—48no—
1025C4×D4—48no—
1026C4×D4—42no—
1027C4×D4—82no—
1028#117—44no—
1029#117—44no—
1030#117—48no—
1031#117—48no—
1032#117—44no—
1033#117—44no—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—24no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42—44no—
1174C2×C42—44no—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—28no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24C2512yes—
1264C24C2514yes—
1265C24C2512yes—
1266C24C2514yes—
1267C24C2512yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270#41—816no—
1271#41—816no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—28no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—832no—
1384C2×D4—816no—
1385C2×D4—816no—
1386C2×D4—816no—
1387C2×D4—816no—
1388C2×D4—816no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—28no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—44no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—41no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4H(5,𝔽2)14yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—41no—
1494C4⋊C4—42no—
1495C4⋊C4—41no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4H(5,𝔽2)14yes—
1514C4⋊C4H(5,𝔽2)14yes—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—24no—
1518C22⋊C4—22no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—41no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—24no—
1614C42—42no—
1615C42—42no—
1616C42—42no—
1617C42—42no—
1618C42—44no—
1619C42—44no—
1620C42—44no—
1621C42—44no—
1622C42—41no—
1623C42—41no—
1624C42H(5,𝔽2)14yes—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—24no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—24no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—24no—
1656C23—24no—
1657C23—24no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—24no—
1671C23—22no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—164no—
1681C23—164no—
1682C23—164no—
1683C23—164no—
1684C23—164no—
1685C23—164no—
1686C23C2×H(5,𝔽2)12yes—
1687C23#58512yes—
1688C23C2611yescharacteristic
1689Q8—48no—
1690Q8—44no—
1691Q8—84no—
1692D4—48no—
1693D4—48no—
1694D4—48no—
1695D4—44no—
1696D4—48no—
1697D4—44no—
1698D4—48no—
1699D4—44no—
1700D4—48no—
1701D4—48no—
1702D4—44no—
1703D4—88no—
1704D4—88no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—88no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—88no—
1713D4—88no—
1714D4—84no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724D4—164no—
1725D4—164no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—28no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—416no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—44no—
1809C2×C4—84no—
1810C2×C4—84no—
1811C2×C4—82no—
1812C2×C4—88no—
1813C2×C4—84no—
1814C2×C4—84no—
1815C2×C4—164no—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)14yes—
1818C2×C4C2×H(5,𝔽2)14yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4#58512yes—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—44no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—44no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—42no—
1857C22—44no—
1858C22—44no—
1859C22—42no—
1860C22—44no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—44no—
1871C22—42no—
1872C22—44no—
1873C22—42no—
1874C22—42no—
1875C22—1616no—
1876C22—1616no—
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22C2×#58511yescharacteristic
1883C22H(7,𝔽2)11yescharacteristic
1884C4—22no—
1885C4—24no—
1886C4—24no—
1887C4—22no—
1888C4—41no—
1889C4—42no—
1890C4—42no—
1891C4—44no—
1892C4—41no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4—41no—
1903C4—44no—
1904C4—41no—
1905C4—42no—
1906C4—42no—
1907C4—41no—
1908C4—41no—
1909C4—42no—
1910C4#354314yes—
1911C4#354614yes—
1912C2—42no—
1913C2—42no—
1914C2—82no—
1915C2—84no—
1916C2—82no—
1917C2—82no—
1918C2—84no—
1919C2C2×#354311yescharacteristic
1920C2C2×#354611yescharacteristic
1921C2#6283011yescharacteristic
1922C2#6291611yescharacteristic
1923C2#6292311yescharacteristic
1924C2#6292411yescharacteristic
1925C2#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. #59646C2semidirect
2. #59126C2semidirect
3. #59049C2semidirect
4. #58412C2semidirect
5. #57369C2semidirect
6. #54927C2semidirect
7. #53000C2semidirect
8. #52977C2semidirect
9. #49589C2semidirect
10. #45655C2semidirect
11. #45642C2semidirect
12. #44872C2semidirect
13. #44868C2semidirect
14. #42988C2semidirect
15. #42642C2semidirect
16. #42629C2semidirect
17. #42624C2semidirect
18. #39342C2semidirect
19. #39156C2semidirect
20. #39136C2semidirect
21. #38957C2semidirect
22. #38910C2semidirect
23. #38910C2semidirect
24. #37785C2semidirect
25. #37775C2semidirect
26. #37614C2semidirect
27. #37331C2semidirect
28. #37300C2semidirect
29. #36121C2semidirect
30. #36117C2semidirect
31. #36115C2semidirect
32. #35171C2semidirect
33. #35166C2semidirect
34. #34889C2semidirect
35. #34788C2semidirect
36. C2×#556C22semidirect
37. C2×#546C22semidirect
41. C2×#540C22semidirect
42. C2×#537C22semidirect
43. C2×#537C22semidirect
44. C2×#535C22semidirect
45. C2×#532C22semidirect
46. C2×#532C22semidirect
48. C2×#529C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
52. #2857C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2818C22semidirect
66. #2813C22semidirect
67. #2812C22semidirect
68. #2803C22semidirect
69. #2803C22semidirect
70. #2803C22semidirect
71. #2801C22semidirect
72. #2797C22semidirect
73. #2777C22semidirect
74. #2741C22semidirect
75. #2740C22semidirect
76. #2735C22semidirect
77. #2730C22semidirect
78. #2730C22semidirect
79. #2727C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2705C22semidirect
84. #2705C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2702C22semidirect
89. #2697C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2685C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2672C22semidirect
110. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2663C22semidirect
118. #2661C22semidirect
119. #2657C22semidirect
120. #2656C22semidirect
121. #2649C22semidirect
122. #2644C22semidirect
123. #2641C22semidirect
124. #2626C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2615C22semidirect
132. #2613C22semidirect
133. #2602C22semidirect
134. #2559C22semidirect
135. #2557C22semidirect
136. #2552C22semidirect
137. #2550C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2542C22semidirect
145. #2542C22semidirect
146. #2542C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2539C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
163. #2537C22semidirect
164. #2535C22semidirect
165. #2525C22semidirect
166. #2521C22semidirect
167. #2516C22semidirect
168. #2513C22semidirect
169. #2513C22semidirect
170. #2512C22semidirect
171. #2512C22semidirect
172. #2510C22semidirect
173. #2509C22semidirect
174. #2504C22semidirect
175. #2501C22semidirect
176. #2500C22semidirect
177. #2500C22semidirect
178. #2499C22semidirect
179. #2497C22semidirect
180. #2494C22semidirect
181. #2492C22semidirect
182. #2491C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2487C22semidirect
189. #2479C22semidirect
190. #2477C22semidirect
191. #2472C22semidirect
192. #2471C22semidirect
193. #2471C22semidirect
194. #2467C22semidirect
195. #2467C22semidirect
196. #2464C22semidirect
197. #2464C22semidirect
198. #2464C22semidirect
199. #2456C22semidirect
200. #2454C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2444C22semidirect
208. #2442C22semidirect
209. #2441C22semidirect
210. #2435C22semidirect
211. #2435C22semidirect
212. #2435C22semidirect
213. #2435C22semidirect
214. #2435C22semidirect
217. #2433C22semidirect
218. #2433C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2427C22semidirect
230. #2427C22semidirect
231. #2427C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2425C22semidirect
237. #2422C22semidirect
238. #2422C22semidirect
239. #2421C22semidirect
241. #2415C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2410C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
259. #2401C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. #2388C22semidirect
263. #2375C22semidirect
264. #2367C22semidirect
266. #2366C22semidirect
267. #2365C22semidirect
268. #2363C22semidirect
269. #2363C22semidirect
270. #2361C22semidirect
271. #2354C22semidirect
272. #2354C22semidirect
273. #2354C22semidirect
274. Q8×C4⋊C4C22semidirect
275. #2341C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. #2330C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2309C22semidirect
282. #2309C22semidirect
283. C4×#127C22semidirect
284. C4×#125C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596462
#591262
#590492
#584122
#573692
#549272
#530002
#529772
#495892
#456552
#456422
#448722
#448682
#429882
#426422
#426292
#426242
#393422
#391562
#391362
#389572
#389102
#377852
#377752
#376142
#373312
#373002
#361212
#361172
#361152
#351712
#351662
#348892
#347882