Finite Group Databasebeta

← #7688386

Subgroups — #7688386

Order 512.

5757 conjugacy classes of subgroups.

The subgroup lattice has 1835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59754C212yesmaximal, complemented
2#59750C212yesmaximal, complemented
3#59684C212yesmaximal, complemented
4#59650C212yesmaximal, complemented
5#59640C211yesmaximal, characteristic, complemented
6#59148C212yesmaximal, complemented
7#59124C211yesmaximal, characteristic, complemented
8#59078C211yesmaximal, characteristic, complemented
9#59049C212yesmaximal, complemented
10#44112C214yesmaximal, complemented
11#44076C214yesmaximal, complemented
12#44062C214yesmaximal, complemented
13#40032C212yesmaximal, complemented
14#40026C212yesmaximal, complemented
15#39221C212yesmaximal, complemented
16#39218C212yesmaximal, complemented
17#39198C212yesmaximal, complemented
18#39189C212yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36586C211yesmaximal, characteristic, complemented
21#36583C211yesmaximal, characteristic, complemented
22#36545C211yesmaximal, characteristic, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36291C212yesmaximal, complemented
25#36271C211yesmaximal, characteristic, complemented
26#36124C212yesmaximal, complemented
27#36121C211yesmaximal, characteristic, complemented
28#35716C214yesmaximal, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34937C211yesmaximal, characteristic, complemented
31C2×#2548C211yesmaximal, characteristic, complemented
32#34320C212yesmaximal, complemented
33#34320C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#554C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2212yescomplemented
45C22×#127C2211yescharacteristic
46C22×#124C2212yes—
47C2×C4×#41C2211yescharacteristic, complemented
48C22×C4×Q8C2211yescharacteristic
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yescomplemented
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2854C2212yescomplemented
55#2851C2212yes—
56#2850C2212yes—
57#2850C2212yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2801C2214yescomplemented
63#2800C2214yescomplemented
64#2797C2214yescomplemented
65#2797C2214yescomplemented
66#2778C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2715C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2214yescomplemented
72#2711C2214yescomplemented
73#2711C2214yescomplemented
74#2710C2214yescomplemented
75#2701C2214yescomplemented
76#2700C2214yescomplemented
77#2696C2214yescomplemented
78#2673C2214yes—
79#2653C2214yescomplemented
80#2648C2214yescomplemented
81#2622C2214yes—
82#2601C2214yescomplemented
83#2597C2214yescomplemented
84#2596C2214yescomplemented
85#2595C2214yescomplemented
86#2593C2214yescomplemented
87#2592C2212yescomplemented
88#2592C2212yescomplemented
89#2584C2212yescomplemented
90#2582C2211yescharacteristic, complemented
91#2581C2212yescomplemented
92#2578C2214yescomplemented
93#2576C2214yescomplemented
94#2571C2211yescharacteristic, complemented
95#2560C2214yescomplemented
96#2558C2214yescomplemented
97#2555C2214yescomplemented
98#2555C2214yescomplemented
99#2548C2212yes—
100#2548C2214yes—
101#2548C2212yes—
102#2548C2211yescharacteristic
103#2548C2212yes—
104#2548C2212yes—
105#2548C2211yescharacteristic
106#2548C2211yescharacteristic
107#2548C2211yescharacteristic
108#2548C2211yescharacteristic
109#2548C2212yescomplemented
110#2548C2212yescomplemented
111#2547C2212yescomplemented
112#2547C2211yescharacteristic, complemented
113#2546C2211yescharacteristic, complemented
114#2545C2212yescomplemented
115#2545C2212yescomplemented
116#2545C2212yescomplemented
117#2544C2212yes—
118#2544C2212yescomplemented
119#2544C2212yescomplemented
120#2543C2214yescomplemented
121#2541C2212yes—
122#2541C2211yescharacteristic
123#2540C2214yescomplemented
124#2521C2214yescomplemented
125#2518C2214yescomplemented
126#2518C2214yescomplemented
127#2516C2214yescomplemented
128#2514C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2512C2212yescomplemented
134#2510C2214yes—
135#2504C2212yescomplemented
136#2500C2212yescomplemented
137#2494C2212yescomplemented
138#2491C2212yescomplemented
139#2490C2212yescomplemented
140#2490C2212yescomplemented
141#2490C2214yescomplemented
142#2490C2214yescomplemented
143#2490C2212yescomplemented
144#2487C2212yes—
145#2480C2214yes—
146#2480C2214yes—
147#2476C2214yescomplemented
148#2476C2214yescomplemented
149#2474C2214yescomplemented
150#2473C2214yes—
151#2472C2214yes—
152#2471C2214yescomplemented
153#2467C2214yescomplemented
154#2467C2214yescomplemented
155#2464C2214yescomplemented
156#2462C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2214yescomplemented
159#2460C2214yescomplemented
160#2459C2214yescomplemented
161#2454C2212yescomplemented
162#2452C2212yescomplemented
163#2448C2212yescomplemented
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2446C2212yescomplemented
169#2445C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yescomplemented
173#2444C2214yescomplemented
174#2437C2214yes—
175#2435C2212yes—
176#2434C2212yes—
177#2433C2212yes—
178#2432C2212yescomplemented
179#2431C2212yes—
180#2431C2212yes—
181#2431C2212yescomplemented
182#2428C2212yes—
183#2428C2212yes—
184#2428C2212yes—
185#2427C2214yescomplemented
186#2426C2212yescomplemented
187#2424C2214yes—
188#2424C2214yes—
189#2420C2212yescomplemented
190#2418C2214yes—
191#2416C2212yescomplemented
192#2416C2212yescomplemented
193#2414C2212yescomplemented
194#2414C2214yescomplemented
195#2410C2214yes—
196#2408C2212yes—
197#2408C2212yes—
198#2408C2212yes—
199#2407C2212yescomplemented
200#2395C2214yescomplemented
201#2392C2214yescomplemented
202C2×#394C2214yes—
203#2374C2214yescomplemented
204#2374C2214yescomplemented
205#2370C2212yescomplemented
206#2369C2211yescharacteristic, complemented
207#2368C2212yes—
208#2368C2212yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2367C2212yescomplemented
213#2367C2211yescharacteristic, complemented
214#2366C2211yescharacteristic
215#2365C2212yescomplemented
216#2365C2211yescharacteristic, complemented
217#2363C2214yescomplemented
218#2363C2212yescomplemented
219#2363C2214yescomplemented
220#2363C2212yescomplemented
221#2362C2212yescomplemented
222#2362C2211yescharacteristic, complemented
223#2361C2211yescharacteristic
224#2361C2212yes—
225#2361C2212yescomplemented
226#2360C2211yescharacteristic
227#2360C2212yes—
228#2360C2211yescharacteristic, complemented
229#2358C2214yes—
230#2358C2214yes—
231#2358C2214yes—
232#2357C2212yescomplemented
233#2357C2212yescomplemented
234#2355C2211yescharacteristic, complemented
235#2355C2211yescharacteristic, complemented
236#2354C2211yescharacteristic, complemented
237#2352C2211yescharacteristic
238#2352C2212yes—
239#2352C2212yes—
240#2351C2211yescharacteristic, complemented
241#2349C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yescomplemented
244#2345C2211yescharacteristic
245#2345C2211yescharacteristic, complemented
246#2342C2214yes—
247#2342C2214yes—
248#2341C2212yescomplemented
249#2341C2212yescomplemented
250#2341C2212yescomplemented
251#2341C2211yescharacteristic, complemented
252Q8×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2335C2214yescomplemented
257#2335C2214yescomplemented
258#2333C2214yescomplemented
259#2333C2214yescomplemented
260#2321C2214yes—
261#2321C2214yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#127C2211yescharacteristic
264C4×#125C2212yescomplemented
265C4×#124C2212yescomplemented
266C4×#124C2212yescomplemented
267C4×#124C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×#124C2211yescharacteristic, complemented
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2211yescharacteristic, complemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283#2297C2212yescomplemented
284#2297C2212yescomplemented
285#2293C2212yescomplemented
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288C2×#390C2212yes—
289C2×#390C2212yes—
290C2×#390C2212yes—
291#2273C2214yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#557—44no—
307#556—48no—
308#554—28no—
309#550—44no—
310#548—28no—
311#546—216no—
312#546—216no—
313#532—44no—
314#532—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#124—48no—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C4×#41—44no—
378C2×C4×Q8—44no—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2314yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438C22×C42C2312yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441#401C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
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#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
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#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#383C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#381C2314yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C25C2414yes—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—42no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×D4—28no—
843C22×D4—28no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—82no—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—44no—
893#127—24no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#126—48no—
901#126—48no—
902#125—28no—
903#125—44no—
904#125—48no—
905#124—28no—
906#124—28no—
907#124—28no—
908#124—28no—
909#124—28no—
910#124—24no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—48no—
917#124—48no—
918#124—84no—
919#123—216no—
920#123—216no—
921#123—84no—
922C22⋊Q8—24no—
923C22⋊Q8—28no—
924C22⋊Q8—24no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—48no—
929C22⋊Q8#4118yescomplemented
930#121—28no—
931#121—28no—
932#121—24no—
933#121—28no—
934#121—216no—
935#121—216no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—84no—
945#121—82no—
946#120—216no—
947#120—216no—
948#120—48no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—24no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—42no—
961C4×Q8—42no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—24no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—82no—
986C4×D4—84no—
987C4×D4#4118yescomplemented
988#117—44no—
989#117—48no—
990#117—44no—
991#117—42no—
992#117—84no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C22⋊C4—216no—
1056C2×C22⋊C4—216no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—84no—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C42—24no—
1128C2×C42—24no—
1129C2×C42—44no—
1130C2×C42—44no—
1131C2×C42—44no—
1132C2×C42—44no—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—28no—
1230C24—28no—
1231C24—28no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2514yes—
1237C24C2514yes—
1238C24C2512yes—
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241#41—416no—
1242#41—816no—
1243#41—816no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8—42no—
1260C2×Q8—416no—
1261C2×Q8C2×#4114yes—
1262C2×Q8H(5,𝔽2)14yes—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—816no—
1320C2×D4—816no—
1321C2×D4—816no—
1322C2×D4C2×#4114yes—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—28no—
1345C22×C4—28no—
1346C22×C4—28no—
1347C22×C4—28no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—41no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2514yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—28no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—41no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4C2×#4114yes—
1464C4⋊C4C2×#4114yes—
1465C4⋊C4C2×#4118yes—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—41no—
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—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4C2×#4114yes—
1530C22⋊C4C2×#4118yes—
1531C22⋊C4C2×#4114yes—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—44no—
1560C42—44no—
1561C42—42no—
1562C42—42no—
1563C42—41no—
1564C42—42no—
1565C42—42no—
1566C42—41no—
1567C42—44no—
1568C42—42no—
1569C42—44no—
1570C42C2×#4114yes—
1571C42H(5,𝔽2)14yes—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—24no—
1584C23—24no—
1585C23—24no—
1586C23—24no—
1587C23—22no—
1588C23—24no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—24no—
1594C23—24no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—24no—
1602C23—24no—
1603C23—416no—
1604C23—88no—
1605C23—88no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23C22×#4112yes—
1611C23C22×#4112yes—
1612C23C22×#4112yes—
1613C23#58512yes—
1614C23C2611yescharacteristic
1615Q8—28no—
1616Q8—28no—
1617Q8—48no—
1618Q8—44no—
1619Q8—48no—
1620Q8—84no—
1621D4—28no—
1622D4—48no—
1623D4—48no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—44no—
1630D4—88no—
1631D4—88no—
1632D4—88no—
1633D4—84no—
1634D4—88no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639D4—164no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—28no—
1659C2×C4—28no—
1660C2×C4—28no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—88no—
1726C2×C4—82no—
1727C2×C4—88no—
1728C2×C4—88no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4114yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C22×#4112yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4#58512yes—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—44no—
1763C22—42no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—44no—
1774C22—42no—
1775C22—44no—
1776C22—44no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22—1616no—
1784C22#348014yes—
1785C22C23×#4111yescharacteristic
1786C22C23×#4111yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C2×#58511yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22H(7,𝔽2)11yescharacteristic
1792C4—24no—
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—24no—
1797C4—22no—
1798C4—24no—
1799C4—22no—
1800C4—22no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—44no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—44no—
1812C4—41no—
1813C4—42no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4#351414yes—
1821C4#351914yes—
1822C2—24no—
1823C2—42no—
1824C2—82no—
1825C2—84no—
1826C2—84no—
1827C2C2×#348011yescharacteristic
1828C2C2×#351911yescharacteristic
1829C2C2×#351411yescharacteristic
1830C2#6292411yescharacteristic
1831C2#6298611yescharacteristic
1832C2#6301011yescharacteristic
1833C2#6301911yescharacteristic
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. #59754C2semidirect
2. #59750C2semidirect
3. #59684C2semidirect
4. #59650C2semidirect
5. #59640C2semidirect
6. #59148C2semidirect
7. #59124C2semidirect
8. #59078C2semidirect
9. #59049C2semidirect
10. #44112C2semidirect
11. #44076C2semidirect
12. #44062C2semidirect
13. #40032C2semidirect
14. #40026C2semidirect
15. #39221C2semidirect
16. #39218C2semidirect
17. #39198C2semidirect
18. #39189C2semidirect
19. #36587C2semidirect
20. #36586C2semidirect
21. #36583C2semidirect
22. #36545C2semidirect
23. #36410C2semidirect
24. #36291C2semidirect
25. #36271C2semidirect
26. #36124C2semidirect
27. #36121C2semidirect
28. #35716C2semidirect
29. #34954C2semidirect
30. #34937C2semidirect
31. C2×#2548C2semidirect
32. #34320C2semidirect
33. #34320C2semidirect
34. C4×#554C2semidirect
35. C4×#548C2semidirect
36. C2×#557C22semidirect
37. C2×#556C22semidirect
44. C2×#532C22semidirect
47. C2×C4×#41C22semidirect
49. #2860C22semidirect
51. #2858C22semidirect
54. #2854C22semidirect
57. #2850C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2801C22semidirect
63. #2800C22semidirect
64. #2797C22semidirect
65. #2797C22semidirect
66. #2778C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2715C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2711C22semidirect
73. #2711C22semidirect
74. #2710C22semidirect
75. #2701C22semidirect
76. #2700C22semidirect
77. #2696C22semidirect
79. #2653C22semidirect
80. #2648C22semidirect
82. #2601C22semidirect
83. #2597C22semidirect
84. #2596C22semidirect
85. #2595C22semidirect
86. #2593C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2584C22semidirect
90. #2582C22semidirect
91. #2581C22semidirect
92. #2578C22semidirect
93. #2576C22semidirect
94. #2571C22semidirect
95. #2560C22semidirect
96. #2558C22semidirect
97. #2555C22semidirect
98. #2555C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
111. #2547C22semidirect
112. #2547C22semidirect
113. #2546C22semidirect
114. #2545C22semidirect
115. #2545C22semidirect
116. #2545C22semidirect
118. #2544C22semidirect
119. #2544C22semidirect
120. #2543C22semidirect
123. #2540C22semidirect
124. #2521C22semidirect
125. #2518C22semidirect
126. #2518C22semidirect
127. #2516C22semidirect
128. #2514C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2512C22semidirect
135. #2504C22semidirect
136. #2500C22semidirect
137. #2494C22semidirect
138. #2491C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
147. #2476C22semidirect
148. #2476C22semidirect
149. #2474C22semidirect
152. #2471C22semidirect
153. #2467C22semidirect
154. #2467C22semidirect
155. #2464C22semidirect
156. #2462C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2460C22semidirect
160. #2459C22semidirect
161. #2454C22semidirect
162. #2452C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2446C22semidirect
172. #2445C22semidirect
173. #2444C22semidirect
178. #2432C22semidirect
181. #2431C22semidirect
185. #2427C22semidirect
186. #2426C22semidirect
189. #2420C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
199. #2407C22semidirect
200. #2395C22semidirect
201. #2392C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2370C22semidirect
206. #2369C22semidirect
208. #2368C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
215. #2365C22semidirect
216. #2365C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
221. #2362C22semidirect
222. #2362C22semidirect
225. #2361C22semidirect
228. #2360C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
236. #2354C22semidirect
240. #2351C22semidirect
243. #2347C22semidirect
245. #2345C22semidirect
248. #2341C22semidirect
249. #2341C22semidirect
250. #2341C22semidirect
251. #2341C22semidirect
256. #2335C22semidirect
257. #2335C22semidirect
258. #2333C22semidirect
259. #2333C22semidirect
262. C4×C4⋊Q8C22semidirect
264. C4×#125C22semidirect
265. C4×#124C22semidirect
266. C4×#124C22semidirect
267. C4×#124C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. #2297C22semidirect
284. #2297C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
298. C2×C4×C4⋊C4C22semidirect
929. C22⋊Q8#41semidirect
987. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#597542
#597502
#596842
#596502
#596402
#591482
#591242
#590782
#590492
#441122
#440762
#440622
#400322
#400262
#392212
#392182
#391982
#391892
#365872
#365862
#365832
#365452
#364102
#362912
#362712
#361242
#361212
#357162
#349542
#349372
C2×#25482
#343202
C4×#5542
C4×#5482