Finite Group Databasebeta

← #7688384

Subgroups — #7688384

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#59701C212yesmaximal, complemented
3#59679C211yesmaximal, characteristic, complemented
4#59640C212yesmaximal, complemented
5#59424C212yesmaximal, complemented
6#59130C212yesmaximal, complemented
7#59124C211yesmaximal, characteristic, complemented
8#59104C212yesmaximal, complemented
9#59049C211yesmaximal, characteristic, complemented
10#44319C214yesmaximal, complemented
11#44065C214yesmaximal, complemented
12#44063C214yesmaximal, complemented
13#40030C212yesmaximal, complemented
14#40020C212yesmaximal, complemented
15#39227C212yesmaximal, complemented
16#39212C212yesmaximal, complemented
17#39198C212yesmaximal, complemented
18#39189C212yesmaximal, complemented
19#36591C211yesmaximal, characteristic, complemented
20#36579C211yesmaximal, characteristic, complemented
21#36576C211yesmaximal, characteristic, complemented
22#36552C211yesmaximal, characteristic, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36362C212yesmaximal, complemented
25#36302C211yesmaximal, characteristic, complemented
26#36121C211yesmaximal, characteristic, complemented
27#36111C212yesmaximal, complemented
28#35717C214yesmaximal, complemented
29#34955C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31C2×#2548C211yesmaximal, characteristic, complemented
32#34320C212yesmaximal, complemented
33#34320C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#553C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2212yescomplemented
46C22×#124C2212yes—
47C22×C4×Q8C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2861C2212yescomplemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2851C2212yes—
56#2850C2212yes—
57#2850C2212yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2800C2214yescomplemented
63#2800C2214yescomplemented
64#2797C2214yescomplemented
65#2797C2214yescomplemented
66#2795C2214yescomplemented
67#2786C2214yescomplemented
68#2779C2214yescomplemented
69#2753C2214yescomplemented
70#2740C2214yescomplemented
71#2714C2214yescomplemented
72#2714C2214yescomplemented
73#2710C2214yescomplemented
74#2703C2214yescomplemented
75#2688C2214yescomplemented
76#2676C2214yescomplemented
77#2674C2214yescomplemented
78#2673C2214yes—
79#2649C2214yescomplemented
80#2648C2214yescomplemented
81#2622C2214yes—
82#2601C2214yescomplemented
83#2595C2214yescomplemented
84#2592C2212yescomplemented
85#2592C2212yescomplemented
86#2592C2212yescomplemented
87#2591C2214yescomplemented
88#2590C2214yescomplemented
89#2581C2212yescomplemented
90#2578C2214yescomplemented
91#2568C2211yescharacteristic, complemented
92#2568C2211yescharacteristic, complemented
93#2566C2212yescomplemented
94#2560C2214yescomplemented
95#2559C2214yescomplemented
96#2559C2214yescomplemented
97#2559C2214yescomplemented
98#2557C2214yescomplemented
99#2554C2214yescomplemented
100#2554C2214yescomplemented
101#2554C2214yescomplemented
102#2552C2211yescharacteristic, complemented
103#2548C2214yes—
104#2548C2211yescharacteristic
105#2548C2211yescharacteristic
106#2548C2212yes—
107#2548C2212yes—
108#2548C2211yescharacteristic
109#2548C2212yes—
110#2548C2212yes—
111#2548C2211yescharacteristic
112#2548C2211yescharacteristic
113#2548C2212yescomplemented
114#2548C2212yescomplemented
115#2545C2212yescomplemented
116#2544C2212yes—
117#2544C2212yescomplemented
118#2544C2212yescomplemented
119#2541C2212yes—
120#2541C2211yescharacteristic
121#2540C2212yescomplemented
122#2538C2212yescomplemented
123#2538C2211yescharacteristic, complemented
124#2531C2214yescomplemented
125#2521C2214yescomplemented
126#2518C2214yescomplemented
127#2516C2214yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2511C2212yescomplemented
135#2508C2212yescomplemented
136#2505C2214yes—
137#2504C2212yescomplemented
138#2502C2212yes—
139#2500C2212yescomplemented
140#2500C2212yescomplemented
141#2500C2214yescomplemented
142#2491C2214yescomplemented
143#2490C2212yescomplemented
144#2490C2212yescomplemented
145#2481C2214yes—
146#2480C2214yes—
147#2480C2214yes—
148#2477C2214yescomplemented
149#2476C2214yescomplemented
150#2474C2214yescomplemented
151#2472C2214yes—
152#2469C2214yescomplemented
153#2467C2214yescomplemented
154#2467C2214yescomplemented
155#2466C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2214yescomplemented
158#2461C2214yescomplemented
159#2459C2214yescomplemented
160#2459C2214yescomplemented
161#2453C2212yescomplemented
162#2448C2212yescomplemented
163#2448C2212yescomplemented
164#2448C2212yescomplemented
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2445C2212yes—
168#2445C2212yes—
169#2445C2212yes—
170#2445C2212yescomplemented
171#2437C2214yes—
172#2436C2212yescomplemented
173#2435C2212yes—
174#2433C2212yes—
175#2432C2212yescomplemented
176#2431C2212yes—
177#2431C2212yes—
178#2431C2212yescomplemented
179#2428C2212yes—
180#2428C2212yes—
181#2428C2212yes—
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2214yescomplemented
186#2426C2212yescomplemented
187#2424C2214yes—
188#2424C2214yes—
189#2421C2212yescomplemented
190#2420C2214yescomplemented
191#2418C2214yes—
192#2416C2212yescomplemented
193#2416C2214yescomplemented
194#2414C2212yescomplemented
195#2410C2214yes—
196#2409C2212yes—
197#2408C2212yes—
198#2408C2212yes—
199#2408C2212yes—
200#2398C2214yescomplemented
201#2392C2214yescomplemented
202C2×#394C2214yes—
203#2374C2214yescomplemented
204#2374C2214yescomplemented
205#2374C2212yescomplemented
206#2373C2212yescomplemented
207#2370C2211yescharacteristic, complemented
208#2367C2212yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2366C2211yescharacteristic
213#2365C2212yescomplemented
214#2365C2211yescharacteristic, complemented
215#2365C2211yescharacteristic, complemented
216#2364C2212yes—
217#2363C2214yescomplemented
218#2363C2214yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2363C2211yescharacteristic, complemented
222#2362C2212yescomplemented
223#2361C2211yescharacteristic
224#2360C2211yescharacteristic
225#2360C2212yes—
226#2360C2212yes—
227#2360C2212yescomplemented
228#2360C2211yescharacteristic, complemented
229#2358C2214yes—
230#2358C2214yes—
231#2358C2214yes—
232#2357C2212yescomplemented
233#2357C2212yescomplemented
234#2357C2211yescharacteristic, complemented
235#2355C2211yescharacteristic, complemented
236#2355C2212yescomplemented
237#2354C2212yescomplemented
238#2353C2212yes—
239#2352C2211yescharacteristic
240#2352C2212yes—
241Q8×C4⋊C4C2211yescharacteristic, complemented
242Q8×C4⋊C4C2211yescharacteristic, complemented
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245#2347C2211yescharacteristic, complemented
246#2345C2211yescharacteristic
247#2342C2214yes—
248#2342C2214yes—
249#2341C2212yescomplemented
250#2341C2212yescomplemented
251Q8×C22⋊C4C2211yescharacteristic
252Q8×C22⋊C4C2211yescharacteristic, complemented
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×C4⋊Q8C2212yescomplemented
264C4×#127C2211yescharacteristic
265C4×#127C2212yescomplemented
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×#123C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283#2297C2212yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288C2×#390C2212yes—
289C2×#390C2212yes—
290C2×#390C2212yes—
291#2273C2214yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2212yes—
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#556—44no—
307#553—28no—
308#550—44no—
309D4×Q8—28no—
310#548—48no—
311#546—216no—
312#546—216no—
313#532—44no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127—44no—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325#529—48no—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#124—48no—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×C4×Q8—44no—
378C2×C4×Q8—44no—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2314yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2314yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
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#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
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#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#394C2314yes—
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#393C2314yes—
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#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
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#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
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#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#383C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C25C2414yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—42no—
835C22×Q8—42no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
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×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
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×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—28no—
891C4⋊Q8—24no—
892#127—24no—
893#127—24no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#126—28no—
900#126—48no—
901#126—48no—
902#126—84no—
903#125—24no—
904#125—44no—
905#124—28no—
906#124—28no—
907#124—28no—
908#124—28no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—48no—
915#124—48no—
916#124—48no—
917#123—216no—
918#123—216no—
919#123—28no—
920#123—48no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—24no—
925C22⋊Q8—28no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8#4118yescomplemented
929#121—28no—
930#121—28no—
931#121—24no—
932#121—24no—
933#121—28no—
934#121—216no—
935#121—216no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—84no—
944#121—82no—
945#121—84no—
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—44no—
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—24no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—84no—
986C4×D4—82no—
987C4×D4#4118yescomplemented
988#117—24no—
989#117—48no—
990#117—42no—
991#117—44no—
992#117—84no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
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×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
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#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2411yescharacteristic
1196#95C2412yes—
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2411yescharacteristic
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
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—816no—
1242#41—816no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8—416no—
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—28no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
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—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
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—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
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—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—41no—
1369C22×C4—42no—
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×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2514yes—
1396C22×C4C2512yes—
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—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—41no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4C2×#4114yes—
1464C4⋊C4C2×#4114yes—
1465C4⋊C4C2×#4118yes—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
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—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
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—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—41no—
1513C22⋊C4—42no—
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—44no—
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—22no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—24no—
1550C42—22no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—42no—
1562C42—44no—
1563C42—41no—
1564C42—42no—
1565C42—42no—
1566C42—44no—
1567C42—42no—
1568C42—41no—
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—24no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
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—48no—
1619Q8—48no—
1620Q8—44no—
1621D4—28no—
1622D4—48no—
1623D4—48no—
1624D4—44no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—88no—
1630D4—88no—
1631D4—88no—
1632D4—84no—
1633D4—88no—
1634D4—84no—
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—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
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—21no—
1664C2×C4—22no—
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—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
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×#4112yes—
1738C2×C4C22×#4114yes—
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—42no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—44no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—44no—
1774C22—44no—
1775C22—44no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—42no—
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—22no—
1793C4—24no—
1794C4—22no—
1795C4—24no—
1796C4—24no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—42no—
1802C4—44no—
1803C4—42no—
1804C4—41no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—44no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
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. #59701C2semidirect
3. #59679C2semidirect
4. #59640C2semidirect
5. #59424C2semidirect
6. #59130C2semidirect
7. #59124C2semidirect
8. #59104C2semidirect
9. #59049C2semidirect
10. #44319C2semidirect
11. #44065C2semidirect
12. #44063C2semidirect
13. #40030C2semidirect
14. #40020C2semidirect
15. #39227C2semidirect
16. #39212C2semidirect
17. #39198C2semidirect
18. #39189C2semidirect
19. #36591C2semidirect
20. #36579C2semidirect
21. #36576C2semidirect
22. #36552C2semidirect
23. #36419C2semidirect
24. #36362C2semidirect
25. #36302C2semidirect
26. #36121C2semidirect
27. #36111C2semidirect
28. #35717C2semidirect
29. #34955C2semidirect
30. #34934C2semidirect
31. C2×#2548C2semidirect
32. #34320C2semidirect
33. #34320C2semidirect
34. C4×#553C2semidirect
35. C4×D4×Q8C2semidirect
36. C2×#556C22semidirect
40. C2×#548C22semidirect
45. C2×#529C22semidirect
48. C22×C4×Q8C22semidirect
49. #2861C22semidirect
50. #2861C22semidirect
54. #2856C22semidirect
57. #2850C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2800C22semidirect
63. #2800C22semidirect
64. #2797C22semidirect
65. #2797C22semidirect
66. #2795C22semidirect
67. #2786C22semidirect
68. #2779C22semidirect
69. #2753C22semidirect
70. #2740C22semidirect
71. #2714C22semidirect
72. #2714C22semidirect
73. #2710C22semidirect
74. #2703C22semidirect
75. #2688C22semidirect
76. #2676C22semidirect
77. #2674C22semidirect
79. #2649C22semidirect
80. #2648C22semidirect
82. #2601C22semidirect
83. #2595C22semidirect
84. #2592C22semidirect
85. #2592C22semidirect
86. #2592C22semidirect
87. #2591C22semidirect
88. #2590C22semidirect
89. #2581C22semidirect
90. #2578C22semidirect
91. #2568C22semidirect
92. #2568C22semidirect
93. #2566C22semidirect
94. #2560C22semidirect
95. #2559C22semidirect
96. #2559C22semidirect
97. #2559C22semidirect
98. #2557C22semidirect
99. #2554C22semidirect
100. #2554C22semidirect
101. #2554C22semidirect
102. #2552C22semidirect
113. #2548C22semidirect
114. #2548C22semidirect
115. #2545C22semidirect
117. #2544C22semidirect
118. #2544C22semidirect
121. #2540C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2531C22semidirect
125. #2521C22semidirect
126. #2518C22semidirect
127. #2516C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2511C22semidirect
135. #2508C22semidirect
137. #2504C22semidirect
139. #2500C22semidirect
140. #2500C22semidirect
141. #2500C22semidirect
142. #2491C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
148. #2477C22semidirect
149. #2476C22semidirect
150. #2474C22semidirect
152. #2469C22semidirect
153. #2467C22semidirect
154. #2467C22semidirect
155. #2466C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
158. #2461C22semidirect
159. #2459C22semidirect
160. #2459C22semidirect
161. #2453C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
170. #2445C22semidirect
172. #2436C22semidirect
175. #2432C22semidirect
178. #2431C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
189. #2421C22semidirect
190. #2420C22semidirect
192. #2416C22semidirect
193. #2416C22semidirect
194. #2414C22semidirect
200. #2398C22semidirect
201. #2392C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2374C22semidirect
206. #2373C22semidirect
207. #2370C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
213. #2365C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2362C22semidirect
227. #2360C22semidirect
228. #2360C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2357C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
237. #2354C22semidirect
241. Q8×C4⋊C4C22semidirect
242. Q8×C4⋊C4C22semidirect
245. #2347C22semidirect
249. #2341C22semidirect
250. #2341C22semidirect
252. Q8×C22⋊C4C22semidirect
256. #2335C22semidirect
257. #2335C22semidirect
258. #2333C22semidirect
259. #2333C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#127C22semidirect
266. C4×#125C22semidirect
267. C4×#126C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. #2297C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
292. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
928. 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
#597012
#596792
#596402
#594242
#591302
#591242
#591042
#590492
#443192
#440652
#440632
#400302
#400202
#392272
#392122
#391982
#391892
#365912
#365792
#365762
#365522
#364192
#363622
#363022
#361212
#361112
#357172
#349552
#349342
C2×#25482
#343202
C4×#5532
C4×D4×Q82