Finite Group Databasebeta

← #7677787

Subgroups — #7677787

Order 512.

5633 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59642C211yesmaximal, characteristic, complemented
4#59424C212yesmaximal, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59377C212yesmaximal, complemented
7#59218C211yesmaximal, characteristic, complemented
8#59217C211yesmaximal, characteristic, complemented
9#59083C212yesmaximal, complemented
10#59046C212yesmaximal, complemented
11#59035C211yesmaximal, characteristic, complemented
12#59033C211yesmaximal, characteristic, complemented
13#45406C212yesmaximal, complemented
14#45079C212yesmaximal, complemented
15#45006C212yesmaximal, complemented
16#44912C212yesmaximal, complemented
17#43816C214yesmaximal, complemented
18#43782C214yesmaximal, complemented
19#40392C214yesmaximal, complemented
20#40176C212yesmaximal, complemented
21#40140C212yesmaximal, complemented
22#38504C214yesmaximal, complemented
23#36452C212yesmaximal, complemented
24#36238C212yesmaximal, complemented
25#35553C212yesmaximal, complemented
26#35522C212yesmaximal, complemented
27#35189C212yesmaximal, complemented
28#35184C211yesmaximal, characteristic, complemented
29#34932C211yesmaximal, characteristic, complemented
30#34914C211yesmaximal, characteristic, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34292C212yesmaximal, complemented
33#34226C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#542C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#529C2212yescomplemented
45C2×#518C2212yes—
46C2×C4×#41C2212yescomplemented
47#2863C2212yescomplemented
48#2861C2212yes—
49#2851C2214yescomplemented
50#2850C2214yescomplemented
51#2808C2214yescomplemented
52#2807C2214yescomplemented
53#2797C2214yescomplemented
54#2786C2214yescomplemented
55#2783C2214yescomplemented
56#2781C2214yescomplemented
57#2761C2214yescomplemented
58#2756C2214yescomplemented
59#2756C2214yescomplemented
60#2749C2214yescomplemented
61#2743C2214yescomplemented
62#2740C2214yescomplemented
63#2732C2214yescomplemented
64#2714C2214yescomplemented
65#2706C2214yescomplemented
66#2705C2214yescomplemented
67#2696C2214yescomplemented
68#2688C2214yescomplemented
69#2685C2214yescomplemented
70#2685C2214yescomplemented
71#2681C2214yescomplemented
72#2678C2214yes—
73#2676C2214yescomplemented
74#2668C2214yes—
75#2654C2214yescomplemented
76#2630C2214yescomplemented
77#2630C2214yescomplemented
78#2601C2214yescomplemented
79#2601C2214yescomplemented
80#2601C2214yescomplemented
81#2597C2214yescomplemented
82#2592C2212yes—
83#2592C2212yescomplemented
84#2591C2214yescomplemented
85#2589C2214yescomplemented
86#2582C2212yescomplemented
87#2580C2212yes—
88#2578C2214yescomplemented
89#2577C2214yescomplemented
90#2575C2214yescomplemented
91#2573C2214yescomplemented
92#2570C2212yescomplemented
93#2569C2214yescomplemented
94#2568C2211yescharacteristic, complemented
95#2563C2212yescomplemented
96#2562C2212yescomplemented
97#2561C2214yescomplemented
98#2560C2212yescomplemented
99#2560C2214yescomplemented
100#2560C2214yescomplemented
101#2559C2212yescomplemented
102#2558C2212yescomplemented
103#2557C2212yescomplemented
104#2553C2214yescomplemented
105#2553C2214yescomplemented
106#2552C2211yescharacteristic, complemented
107#2552C2211yescharacteristic, complemented
108#2548C2212yes—
109#2547C2211yescharacteristic
110#2547C2211yescharacteristic, complemented
111#2544C2212yescomplemented
112#2542C2211yescharacteristic
113#2542C2212yescomplemented
114#2539C2214yescomplemented
115#2538C2211yescharacteristic
116#2538C2212yescomplemented
117#2538C2212yescomplemented
118#2538C2212yescomplemented
119#2538C2212yescomplemented
120#2537C2211yescharacteristic
121#2537C2212yes—
122#2537C2212yes—
123#2535C2212yes—
124#2535C2212yescomplemented
125#2525C2214yescomplemented
126#2517C2214yescomplemented
127#2513C2214yescomplemented
128#2512C2211yescharacteristic
129#2512C2212yes—
130#2506C2211yescharacteristic, complemented
131#2502C2212yescomplemented
132#2497C2212yescomplemented
133#2497C2212yescomplemented
134#2496C2212yescomplemented
135#2496C2212yescomplemented
136#2496C2211yescharacteristic, complemented
137#2495C2212yescomplemented
138#2492C2212yescomplemented
139#2491C2211yescharacteristic
140#2490C2212yes—
141#2490C2212yescomplemented
142#2489C2212yescomplemented
143#2488C2214yescomplemented
144#2488C2214yescomplemented
145#2485C2212yescomplemented
146#2485C2212yescomplemented
147#2485C2212yescomplemented
148#2485C2212yescomplemented
149#2481C2214yescomplemented
150#2480C2214yescomplemented
151#2480C2214yescomplemented
152#2477C2214yescomplemented
153#2476C2214yescomplemented
154#2472C2214yescomplemented
155#2472C2214yescomplemented
156#2471C2214yescomplemented
157#2467C2214yescomplemented
158#2467C2214yescomplemented
159#2463C2214yescomplemented
160#2460C2214yescomplemented
161#2456C2214yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2453C2212yescomplemented
165#2452C2211yescharacteristic, complemented
166#2450C2214yescomplemented
167#2448C2212yes—
168#2447C2212yescomplemented
169#2445C2211yescharacteristic
170#2444C2214yescomplemented
171#2437C2214yescomplemented
172#2435C2212yes—
173#2433C2212yes—
174#2431C2212yescomplemented
175#2428C2212yes—
176#2428C2211yescharacteristic
177#2427C2212yes—
178#2427C2212yescomplemented
179#2424C2214yes—
180#2424C2214yescomplemented
181#2423C2212yescomplemented
182#2423C2212yescomplemented
183#2422C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2422C2211yescharacteristic, complemented
187#2420C2212yescomplemented
188#2418C2214yes—
189#2418C2214yescomplemented
190#2417C2214yescomplemented
191#2416C2212yescomplemented
192#2415C2214yescomplemented
193#2414C2214yescomplemented
194#2412C2214yescomplemented
195#2408C2212yes—
196#2408C2212yes—
197#2407C2212yes—
198#2407C2212yes—
199#2407C2212yescomplemented
200#2398C2212yescomplemented
201#2395C2214yescomplemented
202#2392C2212yescomplemented
203#2370C2212yescomplemented
204#2367C2212yes—
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2366C2212yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2363C2214yescomplemented
213#2363C2212yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2362C2212yescomplemented
217#2361C2212yes—
218#2361C2214yescomplemented
219#2360C2212yescomplemented
220#2359C2214yescomplemented
221#2358C2214yes—
222#2358C2214yescomplemented
223#2357C2212yescomplemented
224#2355C2212yescomplemented
225#2354C2211yescharacteristic
226#2354C2212yescomplemented
227#2354C2211yescharacteristic, complemented
228#2354C2212yescomplemented
229Q8×C4⋊C4C2211yescharacteristic, complemented
230#2349C2212yescomplemented
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yescomplemented
233#2345C2212yescomplemented
234#2342C2214yescomplemented
235#2341C2212yescomplemented
236#2341C2212yescomplemented
237#2339C2212yescomplemented
238#2339C2212yescomplemented
239#2339C2212yescomplemented
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2212yes—
244#2337C2212yescomplemented
245#2335C2212yescomplemented
246#2334C2212yescomplemented
247#2332C2212yescomplemented
248#2331C2211yescharacteristic, complemented
249#2326C2211yescharacteristic
250#2325C2214yescomplemented
251#2324C2212yes—
252#2324C2211yescharacteristic
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255#2323C2211yescharacteristic, complemented
256#2323C2212yescomplemented
257#2321C2214yes—
258#2321C2214yescomplemented
259#2320C2211yescharacteristic, complemented
260#2319C2211yescharacteristic
261#2319C2212yescomplemented
262#2314C2211yescharacteristic, complemented
263#2314C2212yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#127C2211yescharacteristic
271C4×#127C2212yescomplemented
272C4×#126C2212yescomplemented
273C4×#124C2211yescharacteristic
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×#123C2212yescomplemented
279C4×#123C2214yescomplemented
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2214yescomplemented
286C4×#121C2212yescomplemented
287#2293C2211yescharacteristic
288C2×#390C2212yes—
289#2290C2212yescomplemented
290C2×#388C2214yescomplemented
291#2285C2211yescharacteristic, complemented
292#2285C2212yescomplemented
293#2275C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#554—48no—
304#550—28no—
305#546—216no—
306#546—48no—
307D42—28no—
308#542—28no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316#529—48no—
317#529—48no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#518—48no—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2314yes—
418C22×C4⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C42C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2314yes—
427C22×C42C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#383C2312yes—
715#383C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814#376C2311yescharacteristic
815#376C2311yescharacteristic
816C2×#95C2314yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—24no—
875#127—28no—
876#127—42no—
877#127#4118yes—
878#126—28no—
879#126—44no—
880#126—44no—
881#126—48no—
882#126—84no—
883#125—28no—
884#125—44no—
885#125—44no—
886#124—28no—
887#124—28no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124#4118yescomplemented
892#123—28no—
893#123—216no—
894#123—48no—
895#123—48no—
896#123—44no—
897#123—44no—
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—48no—
907C22⋊Q8—84no—
908#121—28no—
909#121—28no—
910#121—24no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—24no—
917#121—216no—
918#121—44no—
919#121—42no—
920#121—44no—
921#121—48no—
922#121—84no—
923#120—216no—
924#120—216no—
925#120—48no—
926#120—84no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—82no—
965C4×D4—82no—
966C4×D4—84no—
967#117—24no—
968#117—28no—
969#117—24no—
970#117—48no—
971#117—44no—
972#117—44no—
973#117—48no—
974#117—82no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—48no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4—216no—
1038C2×C22⋊C4—48no—
1039C2×C22⋊C4—48no—
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—84no—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C42—24no—
1112C2×C42—28no—
1113C2×C42—48no—
1114C2×C42—44no—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—28no—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C24C2512yes—
1221C24C2514yes—
1222#41—432no—
1223#41—816no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8C2×#4114yes—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—432no—
1284C2×D4—816no—
1285C2×D4C2×#4114yes—
1286C2×D4C2×#4118yes—
1287C2×D4C2×#4118yes—
1288C2×D4C2×#4118yes—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—28no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—28no—
1398C4⋊C4—28no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4H(5,𝔽2)14yes—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4C2×#4118yes—
1498C22⋊C4C2×#4118yes—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—42no—
1518C42—44no—
1519C42—44no—
1520C42—42no—
1521C42—41no—
1522C42—41no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—41no—
1528C42—42no—
1529C42—41no—
1530C42—44no—
1531C42C2×#4114yes—
1532C42C2×#4114yes—
1533C42H(5,𝔽2)14yes—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—24no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—416no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—164no—
1573C23—164no—
1574C23C22×#4114yes—
1575C23C22×#4118yes—
1576C23C2611yescharacteristic
1577Q8—28no—
1578Q8—48no—
1579Q8—84no—
1580Q8—84no—
1581D4—28no—
1582D4—216no—
1583D4—216no—
1584D4—48no—
1585D4—416no—
1586D4—416no—
1587D4—44no—
1588D4—44no—
1589D4—84no—
1590D4—84no—
1591D4—88no—
1592D4—84no—
1593D4—88no—
1594D4—88no—
1595D4—88no—
1596D4—84no—
1597D4—84no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—48no—
1676C2×C4—416no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—44no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—84no—
1687C2×C4—88no—
1688C2×C4—84no—
1689C2×C4—88no—
1690C2×C4—164no—
1691C2×C4—164no—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4114yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)14yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4#58512yes—
1705C22—24no—
1706C22—24no—
1707C22—28no—
1708C22—28no—
1709C22—28no—
1710C22—24no—
1711C22—44no—
1712C22—44no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—1616no—
1741C22C23×#4111yescharacteristic
1742C22C23×#4111yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22H(7,𝔽2)11yescharacteristic
1747C222−1+611yescharacteristic
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—41no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—44no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—41no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4#348114yes—
1777C4#351414yes—
1778C2—48no—
1779C2—44no—
1780C2—82no—
1781C2—81no—
1782C2—82no—
1783C2C2×#348111yescharacteristic
1784C2C2×#351411yescharacteristic
1785C2#6284711yescharacteristic
1786C2#6291411yescharacteristic
1787C2#6295511yescharacteristic
1788C2#6298611yescharacteristic
1789C2#6300911yescharacteristic
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. #59863C2semidirect
2. #59823C2semidirect
3. #59642C2semidirect
4. #59424C2semidirect
5. #59412C2semidirect
6. #59377C2semidirect
7. #59218C2semidirect
8. #59217C2semidirect
9. #59083C2semidirect
10. #59046C2semidirect
11. #59035C2semidirect
12. #59033C2semidirect
13. #45406C2semidirect
14. #45079C2semidirect
15. #45006C2semidirect
16. #44912C2semidirect
17. #43816C2semidirect
18. #43782C2semidirect
19. #40392C2semidirect
20. #40176C2semidirect
21. #40140C2semidirect
22. #38504C2semidirect
23. #36452C2semidirect
24. #36238C2semidirect
25. #35553C2semidirect
26. #35522C2semidirect
27. #35189C2semidirect
28. #35184C2semidirect
29. #34932C2semidirect
30. #34914C2semidirect
31. #34310C2semidirect
32. #34292C2semidirect
33. #34226C2semidirect
34. C4×#550C2semidirect
35. C4×#542C2semidirect
36. C2×#554C22semidirect
43. C2×#529C22semidirect
44. C2×#529C22semidirect
46. C2×C4×#41C22semidirect
47. #2863C22semidirect
49. #2851C22semidirect
50. #2850C22semidirect
51. #2808C22semidirect
52. #2807C22semidirect
53. #2797C22semidirect
54. #2786C22semidirect
55. #2783C22semidirect
56. #2781C22semidirect
57. #2761C22semidirect
58. #2756C22semidirect
59. #2756C22semidirect
60. #2749C22semidirect
61. #2743C22semidirect
62. #2740C22semidirect
63. #2732C22semidirect
64. #2714C22semidirect
65. #2706C22semidirect
66. #2705C22semidirect
67. #2696C22semidirect
68. #2688C22semidirect
69. #2685C22semidirect
70. #2685C22semidirect
71. #2681C22semidirect
73. #2676C22semidirect
75. #2654C22semidirect
76. #2630C22semidirect
77. #2630C22semidirect
78. #2601C22semidirect
79. #2601C22semidirect
80. #2601C22semidirect
81. #2597C22semidirect
83. #2592C22semidirect
84. #2591C22semidirect
85. #2589C22semidirect
86. #2582C22semidirect
88. #2578C22semidirect
89. #2577C22semidirect
90. #2575C22semidirect
91. #2573C22semidirect
92. #2570C22semidirect
93. #2569C22semidirect
94. #2568C22semidirect
95. #2563C22semidirect
96. #2562C22semidirect
97. #2561C22semidirect
98. #2560C22semidirect
99. #2560C22semidirect
100. #2560C22semidirect
101. #2559C22semidirect
102. #2558C22semidirect
103. #2557C22semidirect
104. #2553C22semidirect
105. #2553C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
110. #2547C22semidirect
111. #2544C22semidirect
113. #2542C22semidirect
114. #2539C22semidirect
116. #2538C22semidirect
117. #2538C22semidirect
118. #2538C22semidirect
119. #2538C22semidirect
124. #2535C22semidirect
125. #2525C22semidirect
126. #2517C22semidirect
127. #2513C22semidirect
130. #2506C22semidirect
131. #2502C22semidirect
132. #2497C22semidirect
133. #2497C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
137. #2495C22semidirect
138. #2492C22semidirect
141. #2490C22semidirect
142. #2489C22semidirect
143. #2488C22semidirect
144. #2488C22semidirect
145. #2485C22semidirect
146. #2485C22semidirect
147. #2485C22semidirect
148. #2485C22semidirect
149. #2481C22semidirect
150. #2480C22semidirect
151. #2480C22semidirect
152. #2477C22semidirect
153. #2476C22semidirect
154. #2472C22semidirect
155. #2472C22semidirect
156. #2471C22semidirect
157. #2467C22semidirect
158. #2467C22semidirect
159. #2463C22semidirect
160. #2460C22semidirect
161. #2456C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
164. #2453C22semidirect
165. #2452C22semidirect
166. #2450C22semidirect
168. #2447C22semidirect
170. #2444C22semidirect
171. #2437C22semidirect
174. #2431C22semidirect
178. #2427C22semidirect
180. #2424C22semidirect
181. #2423C22semidirect
182. #2423C22semidirect
186. #2422C22semidirect
187. #2420C22semidirect
189. #2418C22semidirect
190. #2417C22semidirect
191. #2416C22semidirect
192. #2415C22semidirect
193. #2414C22semidirect
194. #2412C22semidirect
199. #2407C22semidirect
200. #2398C22semidirect
201. #2395C22semidirect
202. #2392C22semidirect
203. #2370C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
209. #2366C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2362C22semidirect
218. #2361C22semidirect
219. #2360C22semidirect
220. #2359C22semidirect
222. #2358C22semidirect
223. #2357C22semidirect
224. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
229. Q8×C4⋊C4C22semidirect
230. #2349C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2345C22semidirect
234. #2342C22semidirect
235. #2341C22semidirect
236. #2341C22semidirect
237. #2339C22semidirect
238. #2339C22semidirect
239. #2339C22semidirect
244. #2337C22semidirect
245. #2335C22semidirect
246. #2334C22semidirect
247. #2332C22semidirect
248. #2331C22semidirect
250. #2325C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. #2323C22semidirect
256. #2323C22semidirect
258. #2321C22semidirect
259. #2320C22semidirect
261. #2319C22semidirect
262. #2314C22semidirect
263. #2314C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#126C22semidirect
274. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×#123C22semidirect
279. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
289. #2290C22semidirect
290. C2×#388C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. #2275C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
891. #124#41semidirect

Maximal subgroups

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

subgroupindex
#598632
#598232
#596422
#594242
#594122
#593772
#592182
#592172
#590832
#590462
#590352
#590332
#454062
#450792
#450062
#449122
#438162
#437822
#403922
#401762
#401402
#385042
#364522
#362382
#355532
#355222
#351892
#351842
#349322
#349142
#343102
#342922
#342262
C4×#5502
C4×#5422