Finite Group Databasebeta

← #7968347

Subgroups — #7968347

Order 512.

5594 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59634C212yesmaximal, complemented
2#59411C211yesmaximal, characteristic, complemented
3#59377C212yesmaximal, complemented
4#59249C211yesmaximal, characteristic, complemented
5#59218C211yesmaximal, characteristic, complemented
6#51912C214yesmaximal, complemented
7#48746C214yesmaximal, complemented
8#45646C212yesmaximal, complemented
9#45514C212yesmaximal, complemented
10#45048C212yesmaximal, complemented
11#45035C212yesmaximal, complemented
12#44270C214yesmaximal, complemented
13#42547C212yesmaximal, complemented
14#42438C212yesmaximal, complemented
15#41015C214yesmaximal, complemented
16#40170C212yesmaximal, complemented
17#39861C212yesmaximal, complemented
18#39817C212yesmaximal, complemented
19#39725C212yesmaximal, complemented
20#39505C211yesmaximal, characteristic, complemented
21#39401C212yesmaximal, complemented
22#39137C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36455C211yesmaximal, characteristic, complemented
25#36187C211yesmaximal, characteristic, complemented
26#36148C212yesmaximal, complemented
27#36134C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35171C211yesmaximal, characteristic, complemented
31#35005C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34423C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#555C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#546C2211yescharacteristic
41C2×#540C2212yes—
42C2×#538C2214yes—
43C2×#533C2212yescomplemented
44C2×#529C2211yescharacteristic
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic, complemented
48C22×C4×D4C2211yescharacteristic
49#2868C2211yescharacteristic, complemented
50#2857C2212yescomplemented
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2856C2212yescomplemented
54#2856C2211yescharacteristic, complemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2848C2212yes—
58#2847C2212yes—
59#2847C2212yes—
60#2826C2214yescomplemented
61#2813C2214yes—
62#2803C2214yescomplemented
63#2800C2214yescomplemented
64#2798C2214yescomplemented
65#2797C2214yescomplemented
66#2796C2214yes—
67#2795C2214yescomplemented
68#2783C2214yescomplemented
69#2780C2214yescomplemented
70#2779C2214yescomplemented
71#2767C2214yescomplemented
72#2752C2214yescomplemented
73#2743C2214yescomplemented
74#2741C2214yescomplemented
75#2731C2214yescomplemented
76#2730C2214yescomplemented
77#2711C2214yescomplemented
78#2711C2214yescomplemented
79#2710C2214yescomplemented
80#2709C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yes—
83#2705C2214yescomplemented
84#2703C2214yes—
85#2701C2214yescomplemented
86#2696C2214yes—
87#2691C2214yes—
88#2685C2214yes—
89#2682C2214yes—
90#2678C2214yes—
91#2676C2214yes—
92#2676C2214yescomplemented
93#2669C2214yes—
94#2668C2214yes—
95#2661C2214yescomplemented
96#2639C2214yescomplemented
97#2636C2214yes—
98#2635C2214yes—
99#2635C2214yescomplemented
100#2620C2212yes—
101#2620C2212yescomplemented
102#2619C2214yes—
103#2617C2214yes—
104#2609C2214yescomplemented
105#2601C2214yescomplemented
106#2601C2214yescomplemented
107#2600C2214yes—
108#2597C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2580C2214yescomplemented
111#2575C2214yescomplemented
112#2569C2214yescomplemented
113#2563C2212yescomplemented
114#2562C2212yes—
115#2559C2214yes—
116#2559C2214yescomplemented
117#2558C2214yescomplemented
118#2557C2214yes—
119#2557C2214yescomplemented
120#2552C2212yescomplemented
121#2552C2211yescharacteristic, complemented
122#2548C2212yescomplemented
123#2548C2214yescomplemented
124#2544C2212yes—
125#2543C2214yes—
126#2542C2212yes—
127#2541C2211yescharacteristic
128#2541C2212yes—
129#2541C2211yescharacteristic, complemented
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yescomplemented
133#2538C2211yescharacteristic
134#2538C2211yescharacteristic
135#2538C2211yescharacteristic
136#2538C2212yescomplemented
137#2538C2211yescharacteristic, complemented
138#2537C2212yes—
139#2537C2211yescharacteristic
140#2537C2212yes—
141#2537C2211yescharacteristic
142#2537C2212yes—
143#2537C2212yescomplemented
144#2535C2212yescomplemented
145#2516C2214yescomplemented
146#2512C2212yes—
147#2511C2212yescomplemented
148#2509C2212yescomplemented
149#2500C2212yes—
150#2500C2212yescomplemented
151#2500C2212yescomplemented
152#2497C2212yescomplemented
153#2497C2212yescomplemented
154#2496C2212yes—
155#2496C2212yes—
156#2496C2212yescomplemented
157#2492C2212yescomplemented
158#2491C2212yes—
159#2491C2212yes—
160#2491C2212yes—
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2490C2212yes—
165#2490C2212yescomplemented
166#2489C2212yes—
167#2487C2212yes—
168#2485C2212yescomplemented
169#2485C2212yescomplemented
170#2485C2212yescomplemented
171#2478C2214yes—
172#2478C2212yescomplemented
173#2476C2214yescomplemented
174#2472C2214yes—
175#2471C2214yescomplemented
176#2470C2212yes—
177#2467C2214yes—
178#2466C2212yescomplemented
179#2464C2214yescomplemented
180#2460C2214yes—
181#2458C2214yescomplemented
182#2456C2214yes—
183#2456C2214yescomplemented
184#2455C2212yes—
185#2454C2212yescomplemented
186#2453C2211yescharacteristic, complemented
187#2450C2214yescomplemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2447C2211yescharacteristic, complemented
191#2445C2212yes—
192#2445C2212yes—
193#2441C2214yescomplemented
194#2441C2211yescharacteristic, complemented
195#2439C2212yescomplemented
196#2433C2212yes—
197#2432C2212yescomplemented
198#2432C2211yescharacteristic, complemented
199#2431C2212yes—
200#2429C2211yescharacteristic
201#2429C2214yescomplemented
202#2428C2212yes—
203#2428C2212yes—
204#2428C2214yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yescomplemented
208#2426C2212yes—
209#2425C2214yescomplemented
210#2424C2214yes—
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2422C2211yescharacteristic
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2421C2212yes—
217#2415C2211yescharacteristic
218#2414C2212yes—
219#2414C2212yescomplemented
220#2414C2214yescomplemented
221#2411C2214yes—
222#2411C2214yes—
223#2408C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2211yescharacteristic
227#2407C2212yescomplemented
228#2395C2212yescomplemented
229#2392C2212yes—
230#2392C2214yescomplemented
231#2376C2214yescomplemented
232#2376C2214yescomplemented
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2367C2214yes—
236#2367C2211yescharacteristic
237#2366C2212yes—
238#2366C2212yes—
239#2365C2212yescomplemented
240#2364C2212yes—
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2361C2212yes—
245#2360C2211yescharacteristic
246#2359C2212yes—
247#2359C2214yescomplemented
248#2359C2214yescomplemented
249#2358C2212yes—
250#2355C2212yescomplemented
251#2355C2211yescharacteristic, complemented
252#2354C2211yescharacteristic
253#2354C2212yes—
254#2354C2212yescomplemented
255#2354C2212yescomplemented
256#2352C2211yescharacteristic
257Q8×C4⋊C4C2211yescharacteristic, complemented
258Q8×C4⋊C4C2211yescharacteristic, complemented
259#2349C2211yescharacteristic
260#2349C2212yescomplemented
261#2342C2212yes—
262#2341C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yescomplemented
265D4×C22⋊C4C2211yescharacteristic
266#2325C2214yescomplemented
267#2325C2214yescomplemented
268#2324C2212yes—
269#2324C2212yes—
270#2324C2214yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2324C2214yescomplemented
274#2314C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292#2296C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#559—44no—
305#555—48no—
306#550—44no—
307#550—48no—
308#546—28no—
309#540—216no—
310#538—416no—
311#533—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2314yes—
321#529—44no—
322C2×#126C2314yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#124C2314yes—
335#525—48no—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C4×#41—44no—
386C4×#41—44no—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2314yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4—44no—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2314yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2312yes—
445C22×C42C2312yes—
446C22×C42C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2312yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2314yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#386C2312yes—
676#386C2314yes—
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#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2314yes—
741#382C2312yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#379C2314yes—
770#379C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C2×#95C2314yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C43C2311yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—24no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2414yes—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4—44no—
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C4⋊Q8—24no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890#127—28no—
891#127—24no—
892#127—44no—
893#127—44no—
894#127—48no—
895#126—44no—
896#126—48no—
897#126—48no—
898#125—28no—
899#125—42no—
900#125—48no—
901#124—216no—
902#124—24no—
903#124—42no—
904#124—44no—
905#124—44no—
906#124—48no—
907#124—48no—
908#123—216no—
909#123—216no—
910#123—28no—
911#123—28no—
912#123—48no—
913#123—44no—
914#123—48no—
915#123—48no—
916C22⋊Q8—24no—
917C22⋊Q8—28no—
918C22⋊Q8—24no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—42no—
922C22⋊Q8—44no—
923C22⋊Q8—42no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926#121—28no—
927#121—216no—
928#121—28no—
929#121—28no—
930#121—24no—
931#121—216no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—42no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—44no—
953#120—28no—
954#120—48no—
955#120—48no—
956#120—48no—
957C4×Q8—28no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—24no—
961C4×Q8—48no—
962C4×Q8—42no—
963C4×Q8—42no—
964C4×Q8—44no—
965C4×D4—24no—
966C4×D4—28no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—42no—
977C4×D4—42no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—42no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—48no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4#4118yescomplemented
996#117—28no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001#117—48no—
1002#117—48no—
1003#117—44no—
1004#117—42no—
1005#117—42no—
1006#117—44no—
1007C2×C4⋊C4—42no—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4—28no—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—44no—
1145C2×C42—44no—
1146C2×C42—44no—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231C24—24no—
1232C24—24no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24C2512yes—
1239C24C2514yes—
1240C24C2512yes—
1241C24C2511yescharacteristic
1242C24C2512yes—
1243C24C2511yescharacteristic
1244#41—416no—
1245#41—416no—
1246#41—816no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—28no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8H(5,𝔽2)14yes—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—28no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—41no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—416no—
1325C2×D4C2×#4114yes—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—24no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—816no—
1389C22×C4C2×#4118yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—41no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4C2×#4114yes—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—22no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4C2×#4118yes—
1549C22⋊C4H(5,𝔽2)14yes—
1550C42—24no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—28no—
1562C42—24no—
1563C42—28no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—42no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C42—42no—
1573C42—41no—
1574C42—44no—
1575C42—44no—
1576C42—44no—
1577C42—44no—
1578C42C2×#4114yes—
1579C42H(5,𝔽2)14yes—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—21no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—21no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—24no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—21no—
1608C23—21no—
1609C23—24no—
1610C23—22no—
1611C23—22no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—48no—
1621C23—48no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23C22×#4114yes—
1628C23C2×H(5,𝔽2)12yes—
1629C23C2611yescharacteristic
1630Q8—28no—
1631Q8—44no—
1632Q8—44no—
1633Q8—88no—
1634D4—28no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—48no—
1640D4—44no—
1641D4—44no—
1642D4—48no—
1643D4—88no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—84no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—164no—
1751C2×C4C22×#4112yes—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4114yes—
1754C2×C4C22×#4112yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)14yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4#58512yes—
1763C2×C4#58512yes—
1764C22—24no—
1765C22—22no—
1766C22—24no—
1767C22—22no—
1768C22—24no—
1769C22—22no—
1770C22—41no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—44no—
1781C22—42no—
1782C22—44no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—44no—
1790C22—44no—
1791C22—41no—
1792C22—42no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—41no—
1799C22—44no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—44no—
1806C22—816no—
1807C22C23×#4111yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22C2×#58511yescharacteristic
1813C222−1+611yescharacteristic
1814C4—22no—
1815C4—24no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—24no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—44no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—44no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—41no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4#350614yes—
1842C4#354214yes—
1843C2—44no—
1844C2—42no—
1845C2—84no—
1846C2—81no—
1847C2—82no—
1848C2—82no—
1849C2C2×#354211yescharacteristic
1850C2C2×#350611yescharacteristic
1851C2#6280011yescharacteristic
1852C2#6291411yescharacteristic
1853C2#6296711yescharacteristic
1854C2#6298411yescharacteristic
1855C2#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. #59634C2semidirect
2. #59411C2semidirect
3. #59377C2semidirect
4. #59249C2semidirect
5. #59218C2semidirect
6. #51912C2semidirect
7. #48746C2semidirect
8. #45646C2semidirect
9. #45514C2semidirect
10. #45048C2semidirect
11. #45035C2semidirect
12. #44270C2semidirect
13. #42547C2semidirect
14. #42438C2semidirect
15. #41015C2semidirect
16. #40170C2semidirect
17. #39861C2semidirect
18. #39817C2semidirect
19. #39725C2semidirect
20. #39505C2semidirect
21. #39401C2semidirect
22. #39137C2semidirect
23. #36493C2semidirect
24. #36455C2semidirect
25. #36187C2semidirect
26. #36148C2semidirect
27. #36134C2semidirect
28. #36101C2semidirect
29. #35236C2semidirect
30. #35171C2semidirect
31. #35005C2semidirect
32. #34976C2semidirect
33. #34724C2semidirect
34. #34423C2semidirect
35. C4×#546C2semidirect
36. C2×#559C22semidirect
39. C2×#550C22semidirect
43. C2×#533C22semidirect
47. C2×C4×#41C22semidirect
49. #2868C22semidirect
50. #2857C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
60. #2826C22semidirect
62. #2803C22semidirect
63. #2800C22semidirect
64. #2798C22semidirect
65. #2797C22semidirect
67. #2795C22semidirect
68. #2783C22semidirect
69. #2780C22semidirect
70. #2779C22semidirect
71. #2767C22semidirect
72. #2752C22semidirect
73. #2743C22semidirect
74. #2741C22semidirect
75. #2731C22semidirect
76. #2730C22semidirect
77. #2711C22semidirect
78. #2711C22semidirect
79. #2710C22semidirect
80. #2709C22semidirect
81. #2708C22semidirect
83. #2705C22semidirect
85. #2701C22semidirect
92. #2676C22semidirect
95. #2661C22semidirect
96. #2639C22semidirect
99. #2635C22semidirect
101. #2620C22semidirect
104. #2609C22semidirect
105. #2601C22semidirect
106. #2601C22semidirect
108. #2597C22semidirect
109. #2582C22semidirect
110. #2580C22semidirect
111. #2575C22semidirect
112. #2569C22semidirect
113. #2563C22semidirect
116. #2559C22semidirect
117. #2558C22semidirect
119. #2557C22semidirect
120. #2552C22semidirect
121. #2552C22semidirect
122. #2548C22semidirect
123. #2548C22semidirect
129. #2541C22semidirect
132. #2540C22semidirect
136. #2538C22semidirect
137. #2538C22semidirect
143. #2537C22semidirect
144. #2535C22semidirect
145. #2516C22semidirect
147. #2511C22semidirect
148. #2509C22semidirect
150. #2500C22semidirect
151. #2500C22semidirect
152. #2497C22semidirect
153. #2497C22semidirect
156. #2496C22semidirect
157. #2492C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
165. #2490C22semidirect
168. #2485C22semidirect
169. #2485C22semidirect
170. #2485C22semidirect
172. #2478C22semidirect
173. #2476C22semidirect
175. #2471C22semidirect
178. #2466C22semidirect
179. #2464C22semidirect
181. #2458C22semidirect
183. #2456C22semidirect
185. #2454C22semidirect
186. #2453C22semidirect
187. #2450C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2447C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2439C22semidirect
197. #2432C22semidirect
198. #2432C22semidirect
201. #2429C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2427C22semidirect
209. #2425C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
227. #2407C22semidirect
228. #2395C22semidirect
230. #2392C22semidirect
231. #2376C22semidirect
232. #2376C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
239. #2365C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
247. #2359C22semidirect
248. #2359C22semidirect
250. #2355C22semidirect
251. #2355C22semidirect
254. #2354C22semidirect
255. #2354C22semidirect
257. Q8×C4⋊C4C22semidirect
258. Q8×C4⋊C4C22semidirect
260. #2349C22semidirect
262. #2341C22semidirect
264. #2339C22semidirect
266. #2325C22semidirect
267. #2325C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2324C22semidirect
274. #2314C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2296C22semidirect
293. #2293C22semidirect
295. #2285C22semidirect
995. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596342
#594112
#593772
#592492
#592182
#519122
#487462
#456462
#455142
#450482
#450352
#442702
#425472
#424382
#410152
#401702
#398612
#398172
#397252
#395052
#394012
#391372
#364932
#364552
#361872
#361482
#361342
#361012
#352362
#351712
#350052
#349762
#347242
#344232
C4×#5462