Finite Group Databasebeta

← #7968942

Subgroups — #7968942

Order 512.

5659 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59770C212yesmaximal, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59228C211yesmaximal, characteristic, complemented
5#59022C212yesmaximal, complemented
6#48707C214yesmaximal, complemented
7#48398C214yesmaximal, complemented
8#46339C212yesmaximal, complemented
9#45656C212yesmaximal, complemented
10#44926C212yesmaximal, complemented
11#44913C212yesmaximal, complemented
12#44069C214yesmaximal, complemented
13#42945C212yesmaximal, complemented
14#42468C212yesmaximal, complemented
15#40801C214yesmaximal, complemented
16#39957C212yesmaximal, complemented
17#39948C212yesmaximal, complemented
18#39910C212yesmaximal, complemented
19#39507C211yesmaximal, characteristic, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39220C212yesmaximal, complemented
22#37657C212yesmaximal, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36404C211yesmaximal, characteristic, complemented
25#36368C212yesmaximal, complemented
26#36270C211yesmaximal, characteristic, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#35038C212yesmaximal, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34681C211yesmaximal, characteristic, complemented
34#34362C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×#537C2212yescomplemented
44C2×#532C2211yescharacteristic
45C2×#525C2212yes—
46C2×#525C2212yes—
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50#2863C2212yescomplemented
51#2861C2212yes—
52#2860C2212yescomplemented
53#2859C2211yescharacteristic, complemented
54#2857C2211yescharacteristic
55#2857C2212yescomplemented
56#2857C2211yescharacteristic, complemented
57#2856C2212yes—
58#2855C2212yescomplemented
59#2855C2212yescomplemented
60#2847C2212yes—
61#2831C2214yescomplemented
62#2829C2214yescomplemented
63#2803C2214yescomplemented
64#2803C2214yescomplemented
65#2802C2214yescomplemented
66#2790C2214yescomplemented
67#2777C2214yescomplemented
68#2756C2214yes—
69#2756C2214yescomplemented
70#2752C2214yescomplemented
71#2749C2214yes—
72#2749C2214yescomplemented
73#2743C2214yes—
74#2740C2214yescomplemented
75#2718C2214yes—
76#2718C2214yescomplemented
77#2711C2214yescomplemented
78#2710C2214yescomplemented
79#2709C2214yescomplemented
80#2705C2214yes—
81#2704C2214yescomplemented
82#2703C2214yes—
83#2703C2214yescomplemented
84#2694C2214yes—
85#2691C2214yescomplemented
86#2688C2214yescomplemented
87#2685C2214yes—
88#2682C2214yescomplemented
89#2681C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2671C2214yes—
93#2669C2214yes—
94#2669C2214yes—
95#2668C2214yes—
96#2661C2214yes—
97#2661C2214yes—
98#2654C2214yescomplemented
99#2649C2214yescomplemented
100#2648C2214yescomplemented
101#2635C2214yescomplemented
102#2620C2214yescomplemented
103#2619C2212yescomplemented
104#2615C2212yescomplemented
105#2602C2214yes—
106#2601C2214yescomplemented
107#2595C2214yescomplemented
108#2593C2214yescomplemented
109#2578C2214yescomplemented
110#2573C2214yescomplemented
111#2572C2214yescomplemented
112#2570C2212yescomplemented
113#2568C2211yescharacteristic, complemented
114#2562C2212yes—
115#2562C2212yescomplemented
116#2559C2214yescomplemented
117#2559C2214yescomplemented
118#2558C2214yescomplemented
119#2552C2211yescharacteristic, complemented
120#2547C2211yescharacteristic
121#2541C2212yescomplemented
122#2540C2212yes—
123#2539C2214yes—
124#2538C2211yescharacteristic
125#2538C2211yescharacteristic
126#2538C2211yescharacteristic, complemented
127#2538C2212yescomplemented
128#2538C2212yescomplemented
129#2537C2211yescharacteristic
130#2537C2211yescharacteristic
131#2537C2211yescharacteristic
132#2537C2211yescharacteristic, complemented
133#2537C2212yescomplemented
134#2536C2212yes—
135#2536C2212yescomplemented
136#2535C2212yes—
137#2534C2214yes—
138#2525C2214yescomplemented
139#2511C2212yescomplemented
140#2507C2212yescomplemented
141#2506C2212yescomplemented
142#2501C2212yescomplemented
143#2500C2212yescomplemented
144#2497C2212yes—
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2492C2212yescomplemented
149#2490C2212yescomplemented
150#2490C2212yescomplemented
151#2490C2212yescomplemented
152#2487C2212yes—
153#2487C2212yescomplemented
154#2487C2212yescomplemented
155#2486C2212yes—
156#2486C2212yes—
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2477C2214yescomplemented
160#2472C2212yes—
161#2470C2214yescomplemented
162#2470C2214yescomplemented
163#2467C2214yescomplemented
164#2466C2214yescomplemented
165#2464C2212yes—
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2463C2214yescomplemented
169#2461C2212yes—
170#2457C2214yes—
171#2457C2214yescomplemented
172#2457C2214yescomplemented
173#2456C2214yescomplemented
174#2454C2214yescomplemented
175#2453C2212yescomplemented
176#2452C2211yescharacteristic
177#2448C2212yes—
178#2445C2212yes—
179#2445C2211yescharacteristic
180#2445C2214yescomplemented
181#2443C2214yescomplemented
182#2442C2212yescomplemented
183#2441C2212yes—
184#2441C2212yescomplemented
185#2440C2211yescharacteristic
186#2433C2211yescharacteristic
187#2431C2212yes—
188#2428C2211yescharacteristic
189#2428C2214yescomplemented
190#2427C2212yes—
191#2425C2214yes—
192#2425C2214yescomplemented
193#2424C2212yes—
194#2423C2212yes—
195#2423C2212yescomplemented
196#2422C2212yes—
197#2422C2211yescharacteristic
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2417C2212yes—
201#2417C2212yes—
202#2416C2211yescharacteristic
203#2416C2212yes—
204#2416C2212yes—
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2214yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2212yes—
211#2415C2212yescomplemented
212#2414C2212yes—
213#2414C2214yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2412C2214yes—
219#2411C2214yes—
220#2408C2211yescharacteristic
221#2408C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2392C2214yes—
230#2392C2212yes—
231#2388C2212yes—
232#2378C2214yes—
233#2377C2214yes—
234#2368C2214yescomplemented
235#2366C2212yes—
236#2366C2211yescharacteristic, complemented
237#2364C2214yescomplemented
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2363C2212yescomplemented
241#2363C2211yescharacteristic, complemented
242#2360C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yescomplemented
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2354C2211yescharacteristic, complemented
249#2354C2211yescharacteristic, complemented
250#2354C2211yescharacteristic, complemented
251#2354C2212yescomplemented
252#2352C2212yes—
253#2352C2212yes—
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256Q8×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yescomplemented
259D4×C4⋊C4C2212yescomplemented
260#2347C2212yescomplemented
261#2345C2212yescomplemented
262#2341C2211yescharacteristic
263#2341C2211yescharacteristic, complemented
264#2339C2212yes—
265#2335C2214yescomplemented
266#2335C2214yescomplemented
267#2333C2214yescomplemented
268#2323C2212yescomplemented
269#2321C2214yes—
270#2321C2214yes—
271#2314C2212yescomplemented
272#2314C2212yescomplemented
273#2311C2212yescomplemented
274#2311C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic, complemented
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#120C2212yes—
288#2297C2212yes—
289#2297C2212yescomplemented
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic, complemented
294#2280C2212yes—
295C2×#380C2212yes—
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#553—48no—
307#552—48no—
308#550—28no—
309#550—48no—
310#547—44no—
311#547—44no—
312#546—48no—
313#537—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329#525—216no—
330#525—48no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2312yes—
384C4×#41—44no—
385C4×#41—44no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×D4—44no—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C22⋊C4C2314yes—
445C22×C22⋊C4C2312yes—
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2312yes—
449C22×C42C2312yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#393C2312yes—
527#393C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2314yes—
589#390C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#383C2314yes—
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#379C2314yes—
777#379C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C2×#95C2314yes—
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2412yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—42no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×D4—24no—
844C22×D4—42no—
845C22×D4—42no—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2411yescharacteristic
873C23×C4—28no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C4⋊Q8—24no—
899C4⋊Q8—42no—
900#127—28no—
901#127—24no—
902#127—24no—
903#127—42no—
904#127—48no—
905#126—48no—
906#126—48no—
907#125—44no—
908#125—44no—
909#125—48no—
910#124—44no—
911#124—44no—
912#123—28no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931#121—28no—
932#121—28no—
933#121—24no—
934#121—24no—
935#121—24no—
936#121—28no—
937#121—28no—
938#121—28no—
939#121—44no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—42no—
951#121—42no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—48no—
960#120—28no—
961#120—28no—
962#120—44no—
963#120—48no—
964#120—48no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—24no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—44no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—48no—
1001C4×D4—48no—
1002C4×D4—48no—
1003C4×D4—48no—
1004C4×D4#4118yescomplemented
1005#117—28no—
1006#117—44no—
1007#117—44no—
1008#117—48no—
1009#117—44no—
1010#117—42no—
1011#117—42no—
1012#117—44no—
1013#117—44no—
1014#117—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—42no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—44no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—48no—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42—44no—
1160C2×C42—44no—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2412yes—
1200#95C2412yes—
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—24no—
1239C24—24no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2512yes—
1248C24C2512yes—
1249C24C2511yescharacteristic
1250C24C2511yescharacteristic
1251C24C2512yes—
1252#41—416no—
1253#41—416no—
1254#41—816no—
1255#41—816no—
1256#41—816no—
1257C2×Q8—22no—
1258C2×Q8—24no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8H(5,𝔽2)14yes—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—41no—
1305C2×D4—42no—
1306C2×D4—41no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—416no—
1346C2×D4C2×#4114yes—
1347C2×D4H(5,𝔽2)14yes—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—41no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—816no—
1413C22×C4C2×#4114yes—
1414C22×C4C2×#4114yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2514yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2514yes—
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—41no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4C2×#4114yes—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—42no—
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—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4C2×#4114yes—
1575C22⋊C4C2×#4114yes—
1576C42—24no—
1577C42—24no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—42no—
1591C42—42no—
1592C42—42no—
1593C42—42no—
1594C42—41no—
1595C42—42no—
1596C42—44no—
1597C42—44no—
1598C42—44no—
1599C42—44no—
1600C42—41no—
1601C42—42no—
1602C42—44no—
1603C42C2×#4114yes—
1604C42H(5,𝔽2)14yes—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—22no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—48no—
1652C23—48no—
1653C23—84no—
1654C23—84no—
1655C23—84no—
1656C23—84no—
1657C23—84no—
1658C23C22×#4112yes—
1659C23C22×#4112yes—
1660C23C2×H(5,𝔽2)14yes—
1661C23C2611yescharacteristic
1662Q8—28no—
1663Q8—48no—
1664Q8—84no—
1665D4—28no—
1666D4—44no—
1667D4—48no—
1668D4—48no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—48no—
1673D4—44no—
1674D4—44no—
1675D4—44no—
1676D4—44no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—88no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—164no—
1691D4—164no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—28no—
1707C2×C4—28no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—84no—
1776C2×C4—82no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—88no—
1780C2×C4—84no—
1781C2×C4—88no—
1782C2×C4—84no—
1783C2×C4—88no—
1784C2×C4—164no—
1785C2×C4C22×#4112yes—
1786C2×C4C22×#4112yes—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C22×#4112yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)14yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4#58512yes—
1797C2×C4#58512yes—
1798C22—22no—
1799C22—24no—
1800C22—22no—
1801C22—24no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—24no—
1807C22—41no—
1808C22—41no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—816no—
1848C22C23×#4111yescharacteristic
1849C22C22×H(5,𝔽2)11yescharacteristic
1850C22C22×H(5,𝔽2)11yescharacteristic
1851C22C22×H(5,𝔽2)11yescharacteristic
1852C22C2×#58511yescharacteristic
1853C22C2×#58511yescharacteristic
1854C222−1+611yescharacteristic
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—24no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—44no—
1866C4—44no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—41no—
1873C4—44no—
1874C4—42no—
1875C4—41no—
1876C4—41no—
1877C4—42no—
1878C4—42no—
1879C4—41no—
1880C4—44no—
1881C4#351914yes—
1882C4#354214yes—
1883C2—42no—
1884C2—44no—
1885C2—42no—
1886C2—82no—
1887C2—82no—
1888C2—82no—
1889C2—82no—
1890C2C2×#354211yescharacteristic
1891C2C2×#351911yescharacteristic
1892C2#6281511yescharacteristic
1893C2#6292211yescharacteristic
1894C2#6292711yescharacteristic
1895C2#6298511yescharacteristic
1896C2#6301411yescharacteristic
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. #59815C2semidirect
2. #59770C2semidirect
3. #59304C2semidirect
4. #59228C2semidirect
5. #59022C2semidirect
6. #48707C2semidirect
7. #48398C2semidirect
8. #46339C2semidirect
9. #45656C2semidirect
10. #44926C2semidirect
11. #44913C2semidirect
12. #44069C2semidirect
13. #42945C2semidirect
14. #42468C2semidirect
15. #40801C2semidirect
16. #39957C2semidirect
17. #39948C2semidirect
18. #39910C2semidirect
19. #39507C2semidirect
20. #39471C2semidirect
21. #39220C2semidirect
22. #37657C2semidirect
23. #36404C2semidirect
24. #36404C2semidirect
25. #36368C2semidirect
26. #36270C2semidirect
27. #36189C2semidirect
28. #36153C2semidirect
29. #35273C2semidirect
30. #35184C2semidirect
31. #35038C2semidirect
32. #34935C2semidirect
33. #34681C2semidirect
34. #34362C2semidirect
35. C4×#550C2semidirect
37. C2×#552C22semidirect
41. C2×#547C22semidirect
43. C2×#537C22semidirect
48. C2×C4×#41C22semidirect
50. #2863C22semidirect
52. #2860C22semidirect
53. #2859C22semidirect
55. #2857C22semidirect
56. #2857C22semidirect
58. #2855C22semidirect
59. #2855C22semidirect
61. #2831C22semidirect
62. #2829C22semidirect
63. #2803C22semidirect
64. #2803C22semidirect
65. #2802C22semidirect
66. #2790C22semidirect
67. #2777C22semidirect
69. #2756C22semidirect
70. #2752C22semidirect
72. #2749C22semidirect
74. #2740C22semidirect
76. #2718C22semidirect
77. #2711C22semidirect
78. #2710C22semidirect
79. #2709C22semidirect
81. #2704C22semidirect
83. #2703C22semidirect
85. #2691C22semidirect
86. #2688C22semidirect
88. #2682C22semidirect
98. #2654C22semidirect
99. #2649C22semidirect
100. #2648C22semidirect
101. #2635C22semidirect
102. #2620C22semidirect
103. #2619C22semidirect
104. #2615C22semidirect
106. #2601C22semidirect
107. #2595C22semidirect
108. #2593C22semidirect
109. #2578C22semidirect
110. #2573C22semidirect
111. #2572C22semidirect
112. #2570C22semidirect
113. #2568C22semidirect
115. #2562C22semidirect
116. #2559C22semidirect
117. #2559C22semidirect
118. #2558C22semidirect
119. #2552C22semidirect
121. #2541C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
132. #2537C22semidirect
133. #2537C22semidirect
135. #2536C22semidirect
138. #2525C22semidirect
139. #2511C22semidirect
140. #2507C22semidirect
141. #2506C22semidirect
142. #2501C22semidirect
143. #2500C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2492C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
153. #2487C22semidirect
154. #2487C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
159. #2477C22semidirect
161. #2470C22semidirect
162. #2470C22semidirect
163. #2467C22semidirect
164. #2466C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2463C22semidirect
171. #2457C22semidirect
172. #2457C22semidirect
173. #2456C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
180. #2445C22semidirect
181. #2443C22semidirect
182. #2442C22semidirect
184. #2441C22semidirect
189. #2428C22semidirect
192. #2425C22semidirect
195. #2423C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
211. #2415C22semidirect
217. #2414C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
234. #2368C22semidirect
236. #2366C22semidirect
237. #2364C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2359C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. Q8×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2347C22semidirect
261. #2345C22semidirect
263. #2341C22semidirect
265. #2335C22semidirect
266. #2335C22semidirect
267. #2333C22semidirect
268. #2323C22semidirect
271. #2314C22semidirect
272. #2314C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
289. #2297C22semidirect
293. C2×#384C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect
1004. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598152
#597702
#593042
#592282
#590222
#487072
#483982
#463392
#456562
#449262
#449132
#440692
#429452
#424682
#408012
#399572
#399482
#399102
#395072
#394712
#392202
#376572
#364042
#363682
#362702
#361892
#361532
#352732
#351842
#350382
#349352
#346812
#343622
C4×#5502