Finite Group Databasebeta

← #7967349

Subgroups — #7967349

Order 512.

5570 conjugacy classes of subgroups.

The subgroup lattice has 1813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59478C212yesmaximal, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59078C211yesmaximal, characteristic, complemented
5#59002C212yesmaximal, complemented
6#51457C214yesmaximal, complemented
7#49673C214yesmaximal, complemented
8#45669C212yesmaximal, complemented
9#45632C212yesmaximal, complemented
10#45057C212yesmaximal, complemented
11#45031C212yesmaximal, complemented
12#43403C214yesmaximal, complemented
13#42841C212yesmaximal, complemented
14#42515C212yesmaximal, complemented
15#41167C214yesmaximal, complemented
16#40177C212yesmaximal, complemented
17#39884C212yesmaximal, complemented
18#39854C212yesmaximal, complemented
19#39672C212yesmaximal, complemented
20#39616C211yesmaximal, characteristic, complemented
21#38998C212yesmaximal, complemented
22#38930C211yesmaximal, characteristic, complemented
23#36445C211yesmaximal, characteristic, complemented
24#36314C211yesmaximal, characteristic, complemented
25#36148C212yesmaximal, complemented
26#36134C211yesmaximal, characteristic, complemented
27#36127C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35197C211yesmaximal, characteristic, complemented
30#35190C211yesmaximal, characteristic, complemented
31#35085C212yesmaximal, complemented
32#34936C211yesmaximal, characteristic, complemented
33#34803C211yesmaximal, characteristic, complemented
34#34498C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#557C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yescomplemented
40C2×#547C2212yes—
41C2×#546C2211yescharacteristic
42C2×#533C2212yescomplemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic, complemented
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C22⋊Q8C2212yes—
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2868C2211yescharacteristic, complemented
51#2864C2212yescomplemented
52#2857C2211yescharacteristic
53#2857C2212yescomplemented
54#2857C2212yescomplemented
55#2857C2211yescharacteristic, complemented
56#2854C2212yescomplemented
57#2850C2212yescomplemented
58#2850C2212yescomplemented
59#2850C2212yescomplemented
60#2848C2212yes—
61#2838C2214yescomplemented
62#2837C2214yescomplemented
63#2807C2214yescomplemented
64#2784C2214yescomplemented
65#2780C2214yescomplemented
66#2778C2214yes—
67#2757C2214yescomplemented
68#2749C2214yes—
69#2748C2214yescomplemented
70#2743C2214yescomplemented
71#2742C2214yescomplemented
72#2740C2214yescomplemented
73#2738C2214yescomplemented
74#2738C2214yescomplemented
75#2737C2214yescomplemented
76#2724C2214yes—
77#2720C2214yescomplemented
78#2720C2214yescomplemented
79#2720C2214yescomplemented
80#2711C2214yes—
81#2711C2214yescomplemented
82#2710C2214yescomplemented
83#2705C2214yescomplemented
84#2705C2214yescomplemented
85#2703C2214yes—
86#2701C2214yes—
87#2697C2214yes—
88#2693C2214yes—
89#2693C2214yes—
90#2692C2214yescomplemented
91#2680C2214yes—
92#2678C2214yes—
93#2676C2214yes—
94#2676C2214yescomplemented
95#2672C2214yes—
96#2663C2214yes—
97#2663C2214yes—
98#2660C2212yescomplemented
99#2654C2214yescomplemented
100#2648C2214yescomplemented
101#2647C2212yescomplemented
102#2635C2214yescomplemented
103#2632C2214yescomplemented
104#2630C2214yescomplemented
105#2610C2214yescomplemented
106#2602C2214yescomplemented
107#2598C2214yes—
108#2598C2214yescomplemented
109#2580C2212yescomplemented
110#2579C2214yescomplemented
111#2571C2211yescharacteristic, complemented
112#2568C2211yescharacteristic, complemented
113#2567C2212yescomplemented
114#2566C2212yes—
115#2564C2214yescomplemented
116#2564C2214yescomplemented
117#2558C2214yes—
118#2552C2212yescomplemented
119#2548C2211yescharacteristic, complemented
120#2548C2211yescharacteristic, complemented
121#2547C2212yescomplemented
122#2545C2212yescomplemented
123#2542C2211yescharacteristic
124#2542C2211yescharacteristic
125#2542C2211yescharacteristic
126#2542C2212yescomplemented
127#2541C2211yescharacteristic
128#2541C2211yescharacteristic
129#2540C2212yes—
130#2540C2212yes—
131#2539C2214yes—
132#2538C2212yes—
133#2538C2211yescharacteristic
134#2538C2212yescomplemented
135#2537C2212yes—
136#2537C2212yes—
137#2536C2212yescomplemented
138#2533C2212yescomplemented
139#2533C2214yescomplemented
140#2530C2214yes—
141#2527C2212yescomplemented
142#2526C2214yescomplemented
143#2523C2212yes—
144#2514C2211yescharacteristic, complemented
145#2513C2212yescomplemented
146#2511C2212yescomplemented
147#2509C2211yescharacteristic, complemented
148#2503C2212yescomplemented
149#2501C2212yes—
150#2501C2212yescomplemented
151#2500C2212yescomplemented
152#2499C2211yescharacteristic
153#2499C2212yes—
154#2497C2212yescomplemented
155#2496C2211yescharacteristic, complemented
156#2495C2212yes—
157#2492C2211yescharacteristic, complemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yes—
161#2485C2211yescharacteristic
162#2472C2214yes—
163#2466C2212yes—
164#2463C2214yescomplemented
165#2461C2214yescomplemented
166#2460C2214yescomplemented
167#2460C2214yescomplemented
168#2458C2214yes—
169#2457C2214yes—
170#2457C2214yescomplemented
171#2455C2214yescomplemented
172#2454C2212yes—
173#2454C2214yescomplemented
174#2454C2212yescomplemented
175#2452C2212yes—
176#2452C2212yescomplemented
177#2450C2214yescomplemented
178#2449C2214yes—
179#2449C2214yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2445C2212yes—
183#2445C2212yes—
184#2443C2214yescomplemented
185#2441C2214yescomplemented
186#2441C2214yescomplemented
187#2441C2212yescomplemented
188#2440C2212yes—
189#2439C2211yescharacteristic
190#2437C2214yes—
191#2436C2212yescomplemented
192#2434C2212yescomplemented
193#2434C2212yescomplemented
194#2433C2212yes—
195#2432C2212yes—
196#2432C2212yes—
197#2432C2212yescomplemented
198#2431C2212yes—
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2428C2212yes—
204#2427C2212yescomplemented
205#2426C2212yes—
206#2426C2212yescomplemented
207#2424C2214yes—
208#2423C2214yescomplemented
209#2422C2212yes—
210#2422C2212yes—
211#2422C2212yescomplemented
212#2422C2212yescomplemented
213#2422C2212yescomplemented
214#2421C2212yes—
215#2421C2212yescomplemented
216#2420C2212yes—
217#2420C2212yescomplemented
218#2418C2214yes—
219#2417C2212yes—
220#2417C2212yescomplemented
221#2415C2211yescharacteristic
222#2412C2214yes—
223#2412C2214yes—
224#2411C2214yes—
225#2409C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2401C2212yes—
230#2398C2212yes—
231#2397C2214yes—
232#2376C2214yescomplemented
233#2376C2214yescomplemented
234#2367C2211yescharacteristic
235#2367C2214yescomplemented
236#2367C2212yescomplemented
237#2366C2212yes—
238#2365C2211yescharacteristic, complemented
239#2365C2211yescharacteristic, complemented
240#2364C2212yes—
241#2363C2211yescharacteristic
242#2362C2212yes—
243#2361C2212yescomplemented
244#2360C2211yescharacteristic
245#2359C2212yes—
246#2359C2214yescomplemented
247#2358C2212yes—
248#2356C2212yescomplemented
249#2354C2212yes—
250#2352C2211yescharacteristic
251Q8×C4⋊C4C2212yescomplemented
252Q8×C4⋊C4C2212yescomplemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254#2349C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259D4×C4⋊C4C2214yescomplemented
260#2342C2212yes—
261#2341C2212yes—
262#2341C2212yes—
263#2339C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2211yescharacteristic
266#2328C2212yes—
267#2328C2212yes—
268#2326C2212yes—
269#2326C2214yescomplemented
270#2326C2212yescomplemented
271#2322C2214yescomplemented
272#2322C2214yescomplemented
273#2322C2214yescomplemented
274#2319C2212yes—
275#2319C2214yescomplemented
276#2319C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yes—
279C4×#127C2212yes—
280C4×#127C2211yescharacteristic, complemented
281C4×#126C2212yescomplemented
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#123C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#120C2212yes—
291#2295C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2295C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#559—216no—
306#557—44no—
307D4×Q8—44no—
308#548—48no—
309#547—48no—
310#546—28no—
311#533—48no—
312#532—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#126C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335#525—48no—
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8—48no—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#120C2312yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C4×#41—44no—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2314yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×D4—44no—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2311yescharacteristic
427C22×C4⋊C4C2314yes—
428C22×C4⋊C4C2314yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438C22×C42C2312yes—
439#401C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2314yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2312yes—
733#383C2314yes—
734#383C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2312yes—
745#381C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#379C2314yes—
770#379C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2314yes—
819#376C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C43C2312yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8—44no—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×Q8C2414yes—
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—42no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C23×C4—28no—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C4⋊Q8—24no—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891#127—28no—
892#127—28no—
893#127—24no—
894#126—44no—
895#125—44no—
896#125—48no—
897#125—48no—
898#124—28no—
899#124—216no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124#4118yescomplemented
905#123—28no—
906#123—216no—
907#123—216no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914C22⋊Q8—24no—
915C22⋊Q8—24no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—24no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—24no—
933#121—28no—
934#121—28no—
935#121—48no—
936#121—48no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#120—28no—
945#120—48no—
946#120—48no—
947C4×Q8—28no—
948C4×Q8—28no—
949C4×Q8—28no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—42no—
953C4×Q8—44no—
954C4×Q8—48no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—216no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—44no—
967C4×D4—42no—
968C4×D4—44no—
969C4×D4—48no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—44no—
986C4×D4—44no—
987#117—24no—
988#117—24no—
989#117—44no—
990#117—48no—
991#117—42no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4—48no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—48no—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C22⋊C4—28no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C42—24no—
1127C2×C42—24no—
1128C2×C42—44no—
1129C2×C42—44no—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—24no—
1226C24—24no—
1227C24—24no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24C2514yes—
1233C24C2511yescharacteristic
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2512yes—
1237#41—416no—
1238#41—816no—
1239#41—816no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—22no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—816no—
1258C2×Q8C2×#4114yes—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—41no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—416no—
1303C2×D4C2×#4114yes—
1304C2×D42−1+414yes—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—44no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—816no—
1365C22×C4H(5,𝔽2)14yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—41no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4H(5,𝔽2)14yes—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—22no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—22no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4C2×#4118yes—
1521C22⋊C4C2×#4118yes—
1522C42—28no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—28no—
1537C42—22no—
1538C42—24no—
1539C42—22no—
1540C42—24no—
1541C42—22no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—42no—
1547C42—41no—
1548C42—44no—
1549C42—44no—
1550C42—42no—
1551C42C2×#4114yes—
1552C42H(5,𝔽2)14yes—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—24no—
1576C23—24no—
1577C23—24no—
1578C23—21no—
1579C23—21no—
1580C23—24no—
1581C23—21no—
1582C23—24no—
1583C23—21no—
1584C23—24no—
1585C23—48no—
1586C23—48no—
1587C23—48no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23C22×#4114yes—
1593C23C2×H(5,𝔽2)12yes—
1594C23C2×2−1+414yes—
1595C23C2611yescharacteristic
1596Q8—28no—
1597Q8—48no—
1598Q8—44no—
1599Q8—48no—
1600Q8—48no—
1601Q8—88no—
1602D4—28no—
1603D4—28no—
1604D4—416no—
1605D4—44no—
1606D4—48no—
1607D4—48no—
1608D4—48no—
1609D4—48no—
1610D4—48no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—28no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—88no—
1709C2×C4—88no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4C22×#4114yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C2×H(5,𝔽2)14yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4#58512yes—
1727C22—24no—
1728C22—22no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—22no—
1734C22—24no—
1735C22—22no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—41no—
1750C22—41no—
1751C22—44no—
1752C22—44no—
1753C22—41no—
1754C22—41no—
1755C22—44no—
1756C22—44no—
1757C22—41no—
1758C22—41no—
1759C22—44no—
1760C22—44no—
1761C22—41no—
1762C22—816no—
1763C22C23×#4111yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C22×2−1+411yescharacteristic
1768C22C2×#58511yescharacteristic
1769C222−1+611yescharacteristic
1770C4—22no—
1771C4—24no—
1772C4—22no—
1773C4—22no—
1774C4—24no—
1775C4—22no—
1776C4—22no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—42no—
1782C4—44no—
1783C4—42no—
1784C4—44no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—41no—
1789C4—44no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—42no—
1798C4#352014yes—
1799C4#354314yes—
1800C2—44no—
1801C2—44no—
1802C2—42no—
1803C2—84no—
1804C2—81no—
1805C2C2×#354311yescharacteristic
1806C2C2×#352011yescharacteristic
1807C2#6280011yescharacteristic
1808C2#6292511yescharacteristic
1809C2#6294211yescharacteristic
1810C2#6298511yescharacteristic
1811C2#6301511yescharacteristic
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. #59641C2semidirect
2. #59478C2semidirect
3. #59080C2semidirect
4. #59078C2semidirect
5. #59002C2semidirect
6. #51457C2semidirect
7. #49673C2semidirect
8. #45669C2semidirect
9. #45632C2semidirect
10. #45057C2semidirect
11. #45031C2semidirect
12. #43403C2semidirect
13. #42841C2semidirect
14. #42515C2semidirect
15. #41167C2semidirect
16. #40177C2semidirect
17. #39884C2semidirect
18. #39854C2semidirect
19. #39672C2semidirect
20. #39616C2semidirect
21. #38998C2semidirect
22. #38930C2semidirect
23. #36445C2semidirect
24. #36314C2semidirect
25. #36148C2semidirect
26. #36134C2semidirect
27. #36127C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35197C2semidirect
30. #35190C2semidirect
31. #35085C2semidirect
32. #34936C2semidirect
33. #34803C2semidirect
34. #34498C2semidirect
35. C4×#546C2semidirect
37. C2×#557C22semidirect
39. C2×#548C22semidirect
42. C2×#533C22semidirect
44. C2×#532C22semidirect
50. #2868C22semidirect
51. #2864C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
58. #2850C22semidirect
59. #2850C22semidirect
61. #2838C22semidirect
62. #2837C22semidirect
63. #2807C22semidirect
64. #2784C22semidirect
65. #2780C22semidirect
67. #2757C22semidirect
69. #2748C22semidirect
70. #2743C22semidirect
71. #2742C22semidirect
72. #2740C22semidirect
73. #2738C22semidirect
74. #2738C22semidirect
75. #2737C22semidirect
77. #2720C22semidirect
78. #2720C22semidirect
79. #2720C22semidirect
81. #2711C22semidirect
82. #2710C22semidirect
83. #2705C22semidirect
84. #2705C22semidirect
90. #2692C22semidirect
94. #2676C22semidirect
98. #2660C22semidirect
99. #2654C22semidirect
100. #2648C22semidirect
101. #2647C22semidirect
102. #2635C22semidirect
103. #2632C22semidirect
104. #2630C22semidirect
105. #2610C22semidirect
106. #2602C22semidirect
108. #2598C22semidirect
109. #2580C22semidirect
110. #2579C22semidirect
111. #2571C22semidirect
112. #2568C22semidirect
113. #2567C22semidirect
115. #2564C22semidirect
116. #2564C22semidirect
118. #2552C22semidirect
119. #2548C22semidirect
120. #2548C22semidirect
121. #2547C22semidirect
122. #2545C22semidirect
126. #2542C22semidirect
134. #2538C22semidirect
137. #2536C22semidirect
138. #2533C22semidirect
139. #2533C22semidirect
141. #2527C22semidirect
142. #2526C22semidirect
144. #2514C22semidirect
145. #2513C22semidirect
146. #2511C22semidirect
147. #2509C22semidirect
148. #2503C22semidirect
150. #2501C22semidirect
151. #2500C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
157. #2492C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
164. #2463C22semidirect
165. #2461C22semidirect
166. #2460C22semidirect
167. #2460C22semidirect
170. #2457C22semidirect
171. #2455C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
176. #2452C22semidirect
177. #2450C22semidirect
179. #2449C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
184. #2443C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
191. #2436C22semidirect
192. #2434C22semidirect
193. #2434C22semidirect
197. #2432C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
204. #2427C22semidirect
206. #2426C22semidirect
208. #2423C22semidirect
211. #2422C22semidirect
212. #2422C22semidirect
213. #2422C22semidirect
215. #2421C22semidirect
217. #2420C22semidirect
220. #2417C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
232. #2376C22semidirect
233. #2376C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
238. #2365C22semidirect
239. #2365C22semidirect
243. #2361C22semidirect
246. #2359C22semidirect
248. #2356C22semidirect
251. Q8×C4⋊C4C22semidirect
252. Q8×C4⋊C4C22semidirect
253. Q8×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
269. #2326C22semidirect
270. #2326C22semidirect
271. #2322C22semidirect
272. #2322C22semidirect
273. #2322C22semidirect
275. #2319C22semidirect
276. #2319C22semidirect
277. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
281. C4×#126C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2283C22semidirect
904. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596412
#594782
#590802
#590782
#590022
#514572
#496732
#456692
#456322
#450572
#450312
#434032
#428412
#425152
#411672
#401772
#398842
#398542
#396722
#396162
#389982
#389302
#364452
#363142
#361482
#361342
#361272
D4×C22⋊Q82
#351972
#351902
#350852
#349362
#348032
#344982
C4×#5462