Finite Group Databasebeta

← #7682786

Subgroups — #7682786

Order 512.

5759 conjugacy classes of subgroups.

The subgroup lattice has 1895 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59826C212yesmaximal, complemented
3#59753C212yesmaximal, complemented
4#59677C212yesmaximal, complemented
5#59405C212yesmaximal, complemented
6#59401C212yesmaximal, complemented
7#59396C212yesmaximal, complemented
8#59392C212yesmaximal, complemented
9#59207C214yesmaximal, complemented
10#59028C214yesmaximal, complemented
11#45374C212yesmaximal, complemented
12#45373C212yesmaximal, complemented
13#45216C212yesmaximal, complemented
14#45074C212yesmaximal, complemented
15#45062C212yesmaximal, complemented
16#45046C212yesmaximal, complemented
17#45011C212yesmaximal, complemented
18#44975C212yesmaximal, complemented
19#43084C214yesmaximal, complemented
20#43059C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35563C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35558C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35540C211yesmaximal, characteristic, complemented
27#34935C211yesmaximal, characteristic, complemented
28#34809C211yesmaximal, characteristic, complemented
29C2×#2416C211yesmaximal, characteristic, complemented
30#34269C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34204C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34200C211yesmaximal, characteristic, complemented
35#34178C211yesmaximal, characteristic, complemented
36C2×#553C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2212yes—
42C22×#121C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#518C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×#117C2211yescharacteristic
49C23×C4⋊C4C2211yescharacteristic
50#2800C2214yescomplemented
51#2800C2214yescomplemented
52#2797C2214yescomplemented
53#2797C2214yescomplemented
54#2793C2214yescomplemented
55#2790C2214yescomplemented
56#2786C2214yescomplemented
57#2780C2214yescomplemented
58#2779C2214yescomplemented
59#2779C2214yescomplemented
60#2778C2214yescomplemented
61#2772C2214yescomplemented
62#2761C2214yescomplemented
63#2761C2214yescomplemented
64#2757C2214yescomplemented
65#2750C2214yescomplemented
66#2725C2214yescomplemented
67#2708C2214yescomplemented
68#2701C2214yescomplemented
69#2701C2214yescomplemented
70#2691C2214yescomplemented
71#2691C2214yescomplemented
72#2688C2214yescomplemented
73#2688C2214yescomplemented
74#2608C2214yescomplemented
75#2601C2214yescomplemented
76#2600C2214yescomplemented
77#2600C2214yescomplemented
78#2598C2214yescomplemented
79#2597C2214yescomplemented
80#2597C2214yescomplemented
81#2594C2214yescomplemented
82#2587C2214yescomplemented
83#2579C2214yescomplemented
84#2576C2214yescomplemented
85#2576C2214yescomplemented
86#2573C2214yescomplemented
87#2569C2214yes—
88#2559C2214yescomplemented
89#2559C2214yescomplemented
90#2538C2211yescharacteristic, complemented
91#2538C2211yescharacteristic, complemented
92#2537C2211yescharacteristic, complemented
93#2537C2211yescharacteristic, complemented
94#2536C2211yescharacteristic, complemented
95#2536C2211yescharacteristic, complemented
96#2535C2211yescharacteristic, complemented
97#2535C2214yescomplemented
98#2535C2211yescharacteristic, complemented
99#2534C2214yes—
100#2534C2214yes—
101#2534C2212yes—
102#2534C2212yes—
103#2518C2214yescomplemented
104#2516C2214yescomplemented
105#2513C2212yescomplemented
106#2513C2212yescomplemented
107#2513C2212yescomplemented
108#2513C2212yescomplemented
109#2512C2212yescomplemented
110#2512C2212yescomplemented
111#2512C2212yescomplemented
112#2512C2212yescomplemented
113#2509C2212yescomplemented
114#2509C2212yescomplemented
115#2508C2212yescomplemented
116#2508C2212yescomplemented
117#2507C2212yescomplemented
118#2507C2212yescomplemented
119#2506C2212yescomplemented
120#2506C2212yescomplemented
121#2500C2214yescomplemented
122#2497C2212yescomplemented
123#2497C2212yescomplemented
124#2496C2212yescomplemented
125#2496C2212yescomplemented
126#2495C2212yescomplemented
127#2495C2212yescomplemented
128#2494C2212yescomplemented
129#2494C2212yescomplemented
130#2493C2214yes—
131#2490C2214yescomplemented
132#2487C2211yescharacteristic, complemented
133#2487C2211yescharacteristic, complemented
134#2486C2212yes—
135#2486C2211yescharacteristic, complemented
136#2486C2211yescharacteristic, complemented
137#2485C2211yescharacteristic, complemented
138#2485C2211yescharacteristic, complemented
139#2485C2211yescharacteristic, complemented
140#2485C2211yescharacteristic, complemented
141#2484C2212yes—
142#2483C2214yes—
143#2483C2212yes—
144#2482C2212yes—
145#2481C2214yescomplemented
146#2480C2214yes—
147#2480C2214yes—
148#2480C2214yes—
149#2476C2214yescomplemented
150#2470C2214yescomplemented
151#2467C2214yescomplemented
152#2466C2214yescomplemented
153#2466C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2460C2214yescomplemented
157#2457C2214yescomplemented
158#2444C2214yescomplemented
159#2444C2214yescomplemented
160#2444C2214yescomplemented
161#2442C2214yes—
162#2428C2212yescomplemented
163#2428C2212yescomplemented
164#2428C2212yescomplemented
165#2428C2212yescomplemented
166#2426C2212yescomplemented
167#2426C2212yescomplemented
168#2426C2212yescomplemented
169#2426C2212yescomplemented
170#2422C2212yescomplemented
171#2422C2214yescomplemented
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2422C2212yescomplemented
175#2420C2212yescomplemented
176#2420C2212yescomplemented
177#2420C2212yescomplemented
178#2420C2212yescomplemented
179#2416C2212yes—
180#2416C2212yes—
181#2416C2212yes—
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yes—
185#2416C2212yes—
186#2416C2212yes—
187#2416C2212yescomplemented
188#2416C2214yescomplemented
189#2416C2212yescomplemented
190#2416C2212yescomplemented
191#2416C2212yescomplemented
192#2414C2214yescomplemented
193#2414C2212yescomplemented
194#2414C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2408C2214yes—
198#2408C2214yes—
199#2408C2212yes—
200#2405C2214yes—
201#2405C2212yes—
202#2395C2212yescomplemented
203#2395C2212yescomplemented
204#2392C2212yescomplemented
205#2392C2212yescomplemented
206C2×#396C2212yes—
207C2×#394C2212yes—
208#2374C2214yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2364C2214yescomplemented
214#2363C2214yescomplemented
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2360C2212yescomplemented
222#2360C2212yescomplemented
223#2359C2214yes—
224#2358C2214yes—
225#2358C2214yes—
226#2358C2214yes—
227#2354C2212yescomplemented
228#2352C2212yescomplemented
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231#2352C2212yescomplemented
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234#2349C2214yes—
235#2349C2212yescomplemented
236D4×C4⋊C4C2214yes—
237D4×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2345C2212yescomplemented
242#2345C2212yescomplemented
243#2345C2212yescomplemented
244#2345C2212yescomplemented
245#2344C2212yescomplemented
246#2344C2212yescomplemented
247#2344C2212yescomplemented
248#2344C2212yescomplemented
249#2342C2214yes—
250D4×C22⋊C4C2214yes—
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255#2324C2212yescomplemented
256#2323C2212yescomplemented
257#2322C2214yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2212yescomplemented
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2212yescomplemented
266#2313C2214yes—
267#2311C2211yescharacteristic
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270C4×C22⋊Q8C2212yescomplemented
271C4×#123C2212yescomplemented
272C4×#123C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#120C2214yes—
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2212yescomplemented
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2212yescomplemented
287C2×#386C2212yes—
288#2285C2211yescharacteristic
289#2280C2214yes—
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306C24×C4C2312yes—
307#553—416no—
308#535—28no—
309C2×#127C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315#525—28no—
316#525—28no—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121—28no—
328C2×#121—44no—
329C2×#121—48no—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#120C2312yes—
355C2×#120C2314yes—
356C2×#120C2312yes—
357#520—28no—
358#520—44no—
359#518—44no—
360C4×#41—44no—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4—44no—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×#117—44no—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2314yes—
414C22×C4⋊C4—28no—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2312yes—
441C22×C42C2312yes—
442#401C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#399C2312yes—
453#399C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
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#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2314yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#383C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2314yes—
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#379C2314yes—
771#379C2314yes—
772#379C2312yes—
773#379C2312yes—
774#379C2312yes—
775#379C2312yes—
776#379C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2312yes—
822C2×#95C2314yes—
823C2×#95C2312yes—
824C25C2411yescharacteristic
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41#4118yes—
830C22×Q8C2411yescharacteristic
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—28no—
835C22×D4—24no—
836C22×D4—42no—
837C22×D4—44no—
838C22×D4—42no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—82no—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2411yescharacteristic
861C23×C4—24no—
862C23×C4—24no—
863C23×C4—24no—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4—24no—
867C23×C4—28no—
868C23×C4—44no—
869C23×C4—82no—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897#127—28no—
898#126—48no—
899#126—48no—
900#126—84no—
901#125—48no—
902#124—28no—
903#123—28no—
904#123—28no—
905#123—28no—
906#123—44no—
907#123—48no—
908#123—48no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913#121—24no—
914#121—24no—
915#121—24no—
916#121—24no—
917#121—216no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—84no—
937#120—28no—
938#120—28no—
939#120—216no—
940C4×Q8—28no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×D4—216no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4—48no—
972C4×D4—84no—
973C4×D4—84no—
974C4×D4—84no—
975#117—24no—
976#117—24no—
977#117—24no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—28no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—48no—
987#117—42no—
988#117—42no—
989#117—44no—
990#117—84no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—28no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—28no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4—42no—
1000C2×C4⋊C4—42no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—48no—
1004C2×C4⋊C4—42no—
1005C2×C4⋊C4#4118yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—42no—
1074C2×C22⋊C4—42no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—82no—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C42—24no—
1151C2×C42—44no—
1152C2×C42—44no—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—24no—
1242C24—24no—
1243C24—24no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24—42no—
1253C24C2511yescharacteristic
1254C24C2514yes—
1255C24C2512yes—
1256C24C2511yescharacteristic
1257C24C2511yescharacteristic
1258C24C2511yescharacteristic
1259C24C2511yescharacteristic
1260#41—232no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8C2×#4114yes—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—22no—
1283C2×D4—28no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—416no—
1316C2×D4—416no—
1317C2×D4—816no—
1318C2×D4—816no—
1319C2×D4C2×#4118yes—
1320C2×D4C2×#4114yes—
1321C2×D4H(5,𝔽2)14yes—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—28no—
1364C22×C4—24no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—416no—
1399C22×C4—416no—
1400C22×C4—816no—
1401C22×C4C2×#4118yes—
1402C22×C4C2×#4118yes—
1403C22×C4C2×#4114yes—
1404C22×C4C2×#4114yes—
1405C22×C4H(5,𝔽2)14yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4C2×#4118yes—
1495C4⋊C4C2×#4118yes—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C42—24no—
1570C42—24no—
1571C42—28no—
1572C42—24no—
1573C42—24no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—44no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—28no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—21no—
1622C23—24no—
1623C23—24no—
1624C23—21no—
1625C23—24no—
1626C23—21no—
1627C23—24no—
1628C23—21no—
1629C23—24no—
1630C23—21no—
1631C23—24no—
1632C23—21no—
1633C23—21no—
1634C23—24no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—48no—
1646C23—82no—
1647C23—82no—
1648C23—82no—
1649C23—84no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23C22×#4114yes—
1656C23C22×#4112yes—
1657C23C22×#4112yes—
1658C23C2×H(5,𝔽2)12yes—
1659C23C2×H(5,𝔽2)12yes—
1660C23C2×H(5,𝔽2)12yes—
1661C23#58512yes—
1662C23C2611yescharacteristic
1663Q8—28no—
1664D4—216no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—416no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—44no—
1673D4—44no—
1674D4—48no—
1675D4—48no—
1676D4—88no—
1677D4—88no—
1678D4—84no—
1679D4—88no—
1680D4—88no—
1681D4—88no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—216no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—48no—
1759C2×C4—416no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—88no—
1774C2×C4—84no—
1775C2×C4—82no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—84no—
1780C2×C4—164no—
1781C2×C4—164no—
1782C2×C4—164no—
1783C2×C4#553116yescomplemented
1784C2×C4C22×#4118yes—
1785C2×C4C22×#4114yes—
1786C2×C4C22×#4112yes—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C22×#4112yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—24no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—24no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—24no—
1811C22—416no—
1812C22—41no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—44no—
1829C22—41no—
1830C22—44no—
1831C22—41no—
1832C22—41no—
1833C22—44no—
1834C22—41no—
1835C22—44no—
1836C22—44no—
1837C22—41no—
1838C22—44no—
1839C22—41no—
1840C22—41no—
1841C22—44no—
1842C22—88no—
1843C22—168no—
1844C22C2×#55314yes—
1845C22C23×#4111yescharacteristic
1846C22C23×#4111yescharacteristic
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22H(7,𝔽2)11yescharacteristic
1851C222−1+611yescharacteristic
1852C4—28no—
1853C4—22no—
1854C4—24no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4—44no—
1869C4—41no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4—42no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4C2×#55314yes—
1879C4C2×#55314yes—
1880C2—24no—
1881C2—44no—
1882C2—42no—
1883C2—42no—
1884C2—42no—
1885C2—81no—
1886C2—84no—
1887C2C22×#55311yescharacteristic
1888C2#6281811yescharacteristic
1889C2#6287511yescharacteristic
1890C2#6298311yescharacteristic
1891C2#6298511yescharacteristic
1892C2#6300511yescharacteristic
1893C2#6300811yescharacteristic
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. #59860C2semidirect
2. #59826C2semidirect
3. #59753C2semidirect
4. #59677C2semidirect
5. #59405C2semidirect
6. #59401C2semidirect
7. #59396C2semidirect
8. #59392C2semidirect
9. #59207C2semidirect
10. #59028C2semidirect
11. #45374C2semidirect
12. #45373C2semidirect
13. #45216C2semidirect
14. #45074C2semidirect
15. #45062C2semidirect
16. #45046C2semidirect
17. #45011C2semidirect
18. #44975C2semidirect
19. #43084C2semidirect
20. #43059C2semidirect
21. #35585C2semidirect
22. #35563C2semidirect
23. #35563C2semidirect
24. #35558C2semidirect
25. #35544C2semidirect
26. #35540C2semidirect
27. #34935C2semidirect
28. #34809C2semidirect
29. C2×#2416C2semidirect
30. #34269C2semidirect
31. #34250C2semidirect
32. #34204C2semidirect
33. #34202C2semidirect
34. #34200C2semidirect
35. #34178C2semidirect
36. C2×#553C22semidirect
50. #2800C22semidirect
51. #2800C22semidirect
52. #2797C22semidirect
53. #2797C22semidirect
54. #2793C22semidirect
55. #2790C22semidirect
56. #2786C22semidirect
57. #2780C22semidirect
58. #2779C22semidirect
59. #2779C22semidirect
60. #2778C22semidirect
61. #2772C22semidirect
62. #2761C22semidirect
63. #2761C22semidirect
64. #2757C22semidirect
65. #2750C22semidirect
66. #2725C22semidirect
67. #2708C22semidirect
68. #2701C22semidirect
69. #2701C22semidirect
70. #2691C22semidirect
71. #2691C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2608C22semidirect
75. #2601C22semidirect
76. #2600C22semidirect
77. #2600C22semidirect
78. #2598C22semidirect
79. #2597C22semidirect
80. #2597C22semidirect
81. #2594C22semidirect
82. #2587C22semidirect
83. #2579C22semidirect
84. #2576C22semidirect
85. #2576C22semidirect
86. #2573C22semidirect
88. #2559C22semidirect
89. #2559C22semidirect
90. #2538C22semidirect
91. #2538C22semidirect
92. #2537C22semidirect
93. #2537C22semidirect
94. #2536C22semidirect
95. #2536C22semidirect
96. #2535C22semidirect
97. #2535C22semidirect
98. #2535C22semidirect
103. #2518C22semidirect
104. #2516C22semidirect
105. #2513C22semidirect
106. #2513C22semidirect
107. #2513C22semidirect
108. #2513C22semidirect
109. #2512C22semidirect
110. #2512C22semidirect
111. #2512C22semidirect
112. #2512C22semidirect
113. #2509C22semidirect
114. #2509C22semidirect
115. #2508C22semidirect
116. #2508C22semidirect
117. #2507C22semidirect
118. #2507C22semidirect
119. #2506C22semidirect
120. #2506C22semidirect
121. #2500C22semidirect
122. #2497C22semidirect
123. #2497C22semidirect
124. #2496C22semidirect
125. #2496C22semidirect
126. #2495C22semidirect
127. #2495C22semidirect
128. #2494C22semidirect
129. #2494C22semidirect
131. #2490C22semidirect
132. #2487C22semidirect
133. #2487C22semidirect
135. #2486C22semidirect
136. #2486C22semidirect
137. #2485C22semidirect
138. #2485C22semidirect
139. #2485C22semidirect
140. #2485C22semidirect
145. #2481C22semidirect
149. #2476C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2466C22semidirect
153. #2466C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2460C22semidirect
157. #2457C22semidirect
158. #2444C22semidirect
159. #2444C22semidirect
160. #2444C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2426C22semidirect
167. #2426C22semidirect
168. #2426C22semidirect
169. #2426C22semidirect
170. #2422C22semidirect
171. #2422C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
174. #2422C22semidirect
175. #2420C22semidirect
176. #2420C22semidirect
177. #2420C22semidirect
178. #2420C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2416C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
202. #2395C22semidirect
203. #2395C22semidirect
204. #2392C22semidirect
205. #2392C22semidirect
208. #2374C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2364C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2360C22semidirect
222. #2360C22semidirect
227. #2354C22semidirect
228. #2352C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. #2352C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
235. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2345C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2345C22semidirect
245. #2344C22semidirect
246. #2344C22semidirect
247. #2344C22semidirect
248. #2344C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. #2324C22semidirect
256. #2323C22semidirect
261. #2317C22semidirect
265. #2316C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×#123C22semidirect
272. C4×#123C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
283. #2296C22semidirect
286. C2×#389C22semidirect
1783. C2×C4#553semidirect

Maximal subgroups

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

subgroupindex
#598602
#598262
#597532
#596772
#594052
#594012
#593962
#593922
#592072
#590282
#453742
#453732
#452162
#450742
#450622
#450462
#450112
#449752
#430842
#430592
#355852
#355632
#355582
#355442
#355402
#349352
#348092
C2×#24162
#342692
#342502
#342042
#342022
#342002
#341782