Finite Group Databasebeta

← #7682784

Subgroups — #7682784

Order 512.

5713 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#59953C212yesmaximal, complemented
2#59841C212yesmaximal, complemented
3#59767C212yesmaximal, complemented
4#59750C212yesmaximal, complemented
5#59236C212yesmaximal, complemented
6#59232C212yesmaximal, complemented
7#59229C212yesmaximal, complemented
8#59223C214yesmaximal, complemented
9#59217C212yesmaximal, complemented
10#59026C214yesmaximal, complemented
11#45382C212yesmaximal, complemented
12#45378C212yesmaximal, complemented
13#45208C212yesmaximal, complemented
14#45052C212yesmaximal, complemented
15#45020C212yesmaximal, complemented
16#45009C212yesmaximal, complemented
17#44925C212yesmaximal, complemented
18#44925C212yesmaximal, complemented
19#43083C214yesmaximal, complemented
20#43056C214yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35556C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#34946C211yesmaximal, characteristic, complemented
28#34737C211yesmaximal, characteristic, complemented
29C2×#2416C211yesmaximal, characteristic, complemented
30#34255C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34204C211yesmaximal, characteristic, complemented
33#34200C211yesmaximal, characteristic, complemented
34#34180C211yesmaximal, characteristic, complemented
35#34178C211yesmaximal, characteristic, complemented
36C2×#555C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2212yes—
45C2×#520C2211yescharacteristic
46C2×#518C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×#117C2211yescharacteristic
49C23×C4⋊C4C2211yescharacteristic
50#2808C2214yescomplemented
51#2808C2214yescomplemented
52#2803C2214yescomplemented
53#2803C2214yescomplemented
54#2795C2214yescomplemented
55#2784C2214yescomplemented
56#2784C2214yescomplemented
57#2783C2214yescomplemented
58#2783C2214yescomplemented
59#2781C2214yescomplemented
60#2781C2214yescomplemented
61#2775C2214yescomplemented
62#2756C2214yescomplemented
63#2744C2214yescomplemented
64#2737C2214yescomplemented
65#2737C2214yescomplemented
66#2731C2214yescomplemented
67#2699C2214yescomplemented
68#2699C2214yescomplemented
69#2686C2214yescomplemented
70#2686C2214yescomplemented
71#2686C2214yescomplemented
72#2686C2214yescomplemented
73#2686C2214yescomplemented
74#2610C2214yescomplemented
75#2609C2214yescomplemented
76#2609C2214yescomplemented
77#2592C2212yescomplemented
78#2592C2212yescomplemented
79#2584C2212yescomplemented
80#2584C2212yescomplemented
81#2574C2214yescomplemented
82#2572C2214yescomplemented
83#2567C2212yescomplemented
84#2563C2211yescharacteristic, complemented
85#2563C2211yescharacteristic, complemented
86#2563C2212yescomplemented
87#2562C2211yescharacteristic, complemented
88#2562C2212yescomplemented
89#2562C2211yescharacteristic, complemented
90#2562C2211yescharacteristic, complemented
91#2562C2212yescomplemented
92#2562C2211yescharacteristic, complemented
93#2561C2214yes—
94#2561C2212yes—
95#2561C2212yes—
96#2555C2214yescomplemented
97#2555C2214yescomplemented
98#2552C2212yescomplemented
99#2551C2212yescomplemented
100#2550C2212yescomplemented
101#2550C2212yescomplemented
102#2549C2214yes—
103#2548C2212yescomplemented
104#2548C2212yescomplemented
105#2547C2211yescharacteristic, complemented
106#2547C2212yescomplemented
107#2547C2211yescharacteristic, complemented
108#2546C2212yescomplemented
109#2537C2214yescomplemented
110#2537C2212yescomplemented
111#2537C2212yescomplemented
112#2535C2212yescomplemented
113#2535C2212yescomplemented
114#2534C2214yes—
115#2531C2214yescomplemented
116#2531C2214yescomplemented
117#2529C2214yescomplemented
118#2526C2214yescomplemented
119#2526C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2214yescomplemented
122#2503C2212yes—
123#2500C2214yescomplemented
124#2497C2214yescomplemented
125#2492C2212yescomplemented
126#2491C2212yescomplemented
127#2491C2212yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2212yescomplemented
133#2491C2214yescomplemented
134#2490C2212yescomplemented
135#2490C2212yescomplemented
136#2490C2212yescomplemented
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2490C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2488C2214yes—
143#2485C2214yescomplemented
144#2485C2214yescomplemented
145#2476C2214yescomplemented
146#2476C2214yescomplemented
147#2476C2214yescomplemented
148#2476C2214yescomplemented
149#2476C2214yescomplemented
150#2474C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yes—
153#2472C2214yes—
154#2472C2214yes—
155#2459C2214yescomplemented
156#2459C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2440C2214yes—
160#2439C2214yescomplemented
161#2435C2214yes—
162#2435C2212yes—
163#2428C2212yescomplemented
164#2428C2212yescomplemented
165#2428C2212yescomplemented
166#2428C2212yescomplemented
167#2427C2212yescomplemented
168#2427C2212yescomplemented
169#2426C2212yescomplemented
170#2426C2212yescomplemented
171#2420C2214yescomplemented
172#2420C2214yescomplemented
173#2417C2211yescharacteristic, complemented
174#2417C2211yescharacteristic, complemented
175#2416C2212yes—
176#2416C2212yes—
177#2416C2212yes—
178#2416C2212yes—
179#2416C2212yes—
180#2416C2212yes—
181#2416C2212yes—
182#2416C2212yes—
183#2416C2211yescharacteristic, complemented
184#2416C2212yescomplemented
185#2416C2212yescomplemented
186#2416C2211yescharacteristic, complemented
187#2415C2211yescharacteristic, complemented
188#2415C2211yescharacteristic, complemented
189#2414C2212yescomplemented
190#2414C2211yescharacteristic, complemented
191#2414C2214yescomplemented
192#2414C2214yescomplemented
193#2414C2212yescomplemented
194#2414C2211yescharacteristic, complemented
195#2413C2212yes—
196#2412C2214yes—
197#2412C2212yes—
198#2411C2212yes—
199#2410C2214yes—
200#2410C2212yes—
201#2408C2214yes—
202#2398C2212yescomplemented
203#2398C2212yescomplemented
204#2392C2212yescomplemented
205#2392C2212yescomplemented
206C2×#396C2212yes—
207C2×#394C2212yes—
208#2372C2214yescomplemented
209#2363C2214yescomplemented
210#2363C2214yescomplemented
211#2363C2212yescomplemented
212#2363C2212yescomplemented
213#2361C2212yescomplemented
214#2361C2212yescomplemented
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2360C2212yescomplemented
218#2360C2212yescomplemented
219#2357C2212yescomplemented
220#2357C2212yescomplemented
221#2354C2212yescomplemented
222#2354C2212yescomplemented
223#2353C2214yes—
224#2352C2214yes—
225#2352C2212yescomplemented
226#2352C2212yescomplemented
227D4×C4⋊C4C2212yescomplemented
228D4×C4⋊C4C2212yescomplemented
229#2347C2212yescomplemented
230#2347C2212yescomplemented
231#2346C2212yescomplemented
232#2346C2212yescomplemented
233#2345C2212yescomplemented
234#2345C2212yescomplemented
235#2345C2212yescomplemented
236#2345C2212yescomplemented
237#2345C2212yescomplemented
238#2345C2212yescomplemented
239#2344C2212yescomplemented
240#2344C2212yescomplemented
241#2344C2212yescomplemented
242#2344C2212yescomplemented
243#2344C2212yescomplemented
244#2344C2212yescomplemented
245#2343C2214yes—
246#2342C2214yes—
247#2342C2214yes—
248#2342C2214yes—
249#2342C2214yes—
250D4×C22⋊C4C2214yes—
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2322C2214yes—
254#2320C2212yescomplemented
255#2319C2212yescomplemented
256#2319C2212yescomplemented
257#2319C2212yescomplemented
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2314C2212yescomplemented
263#2314C2212yescomplemented
264#2313C2214yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2309C2211yescharacteristic
268#2309C2211yescharacteristic
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#121C2212yescomplemented
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#120C2214yes—
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2295C2212yescomplemented
279#2293C2212yescomplemented
280#2293C2212yescomplemented
281#2293C2212yescomplemented
282C2×#390C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#386C2212yes—
285#2285C2212yescomplemented
286#2283C2212yescomplemented
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2214yes—
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306C24×C4C2312yes—
307#555—416no—
308#544—44no—
309#535—44no—
310#533—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2314yes—
316C2×#127C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329#525—28no—
330#525—44no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×#121—28no—
341C2×#121—44no—
342C2×#121—48no—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369C2×#120C2314yes—
370#520—28no—
371#518—28no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4—44no—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117—28no—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2314yes—
413C2×#117C2314yes—
414C2×#117C2314yes—
415C2×#117C2314yes—
416C2×#117C2311yescharacteristic
417C22×C4⋊C4—28no—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C42C2312yes—
441C22×C42C2311yescharacteristic
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2312yes—
515#393C2312yes—
516#393C2312yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
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#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#383C2314yes—
700#383C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2312yes—
762#379C2312yes—
763#379C2312yes—
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2314yes—
820#376C2314yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2411yescharacteristic
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—24no—
839C22×D4—42no—
840C22×D4—44no—
841C22×D4—42no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—82no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2414yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2411yescharacteristic
864C23×C4—24no—
865C23×C4—24no—
866C23×C4—24no—
867C23×C4—24no—
868C23×C4—24no—
869C23×C4—24no—
870C23×C4—28no—
871C23×C4—44no—
872C23×C4—82no—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C4⋊Q8—42no—
898C4⋊Q8—42no—
899C4⋊Q8—44no—
900C4⋊Q8—44no—
901C4⋊Q8—48no—
902#127—44no—
903#125—42no—
904#125—42no—
905#125—44no—
906#125—44no—
907#124—28no—
908#124—44no—
909#124—44no—
910#124—48no—
911#124—48no—
912#124—48no—
913#124—48no—
914#124—84no—
915#123—28no—
916#123—44no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—48no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924#121—216no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—24no—
931#121—24no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—44no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—48no—
947#121—84no—
948#120—28no—
949#120—44no—
950#120—48no—
951C4×Q8—28no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×D4—216no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4—42no—
969C4×D4—42no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—84no—
975C4×D4—84no—
976#117—24no—
977#117—24no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—28no—
985#117—28no—
986#117—28no—
987#117—48no—
988#117—48no—
989#117—48no—
990#117—48no—
991#117—84no—
992#117—84no—
993#117#4118yes—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—28no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4—28no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—42no—
1006C2×C4⋊C4#4118yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C22⋊C4—28no—
1064C2×C22⋊C4—28no—
1065C2×C22⋊C4—216no—
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—42no—
1069C2×C22⋊C4—42no—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4—82no—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C42—24no—
1149C2×C42—28no—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
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—416no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—28no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—28no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—416no—
1327C2×D4—416no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C2×D4H(5,𝔽2)14yes—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—28no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—28no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—41no—
1398C22×C4—42no—
1399C22×C4—416no—
1400C22×C4—416no—
1401C22×C4—816no—
1402C22×C4C2×#4118yes—
1403C22×C4C2×#4114yes—
1404C22×C4C2×#4114yes—
1405C22×C4H(5,𝔽2)14yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2514yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
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—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4C2×#4118yes—
1487C4⋊C4C2×#4118yes—
1488C4⋊C4C2×#4114yes—
1489C4⋊C4C2×#4114yes—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
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—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4C2×#4118yes—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—28no—
1571C42—24no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—24no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—42no—
1581C42—44no—
1582C42—44no—
1583C42—44no—
1584C42—42no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—42no—
1590C42—44no—
1591C42C2×#4118yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—28no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—24no—
1618C23—22no—
1619C23—24no—
1620C23—21no—
1621C23—22no—
1622C23—24no—
1623C23—21no—
1624C23—21no—
1625C23—24no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—24no—
1630C23—24no—
1631C23—22no—
1632C23—21no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—48no—
1647C23—82no—
1648C23—82no—
1649C23—82no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23—84no—
1656C23C22×#4112yes—
1657C23C22×#4112yes—
1658C23C2×H(5,𝔽2)12yes—
1659C23C2×H(5,𝔽2)12yes—
1660C23C2×H(5,𝔽2)12yes—
1661C23#58512yes—
1662C23C2611yescharacteristic
1663Q8—44no—
1664Q8—84no—
1665Q8—84no—
1666Q8—164no—
1667D4—44no—
1668D4—48no—
1669D4—48no—
1670D4—44no—
1671D4—416no—
1672D4—44no—
1673D4—44no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—44no—
1678D4—88no—
1679D4—84no—
1680D4—88no—
1681D4—88no—
1682D4—84no—
1683D4—164no—
1684D4—164no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
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—22no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—416no—
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—44no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4—84no—
1777C2×C4—88no—
1778C2×C4—88no—
1779C2×C4—82no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4#555116yescomplemented
1783C2×C4C22×#4114yes—
1784C2×C4C22×#4114yes—
1785C2×C4C22×#4118yes—
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—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—416no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—44no—
1823C22—41no—
1824C22—44no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—44no—
1830C22—44no—
1831C22—42no—
1832C22—41no—
1833C22—41no—
1834C22—44no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—44no—
1839C22—41no—
1840C22—42no—
1841C22—44no—
1842C22—88no—
1843C22—168no—
1844C22C2×#55514yes—
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—24no—
1854C4—24no—
1855C4—22no—
1856C4—44no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—44no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—42no—
1878C4C2×#55514yes—
1879C4C2×#55514yes—
1880C2—24no—
1881C2—42no—
1882C2—42no—
1883C2—42no—
1884C2—82no—
1885C2—81no—
1886C2—84no—
1887C2C22×#55511yescharacteristic
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. #59953C2semidirect
2. #59841C2semidirect
3. #59767C2semidirect
4. #59750C2semidirect
5. #59236C2semidirect
6. #59232C2semidirect
7. #59229C2semidirect
8. #59223C2semidirect
9. #59217C2semidirect
10. #59026C2semidirect
11. #45382C2semidirect
12. #45378C2semidirect
13. #45208C2semidirect
14. #45052C2semidirect
15. #45020C2semidirect
16. #45009C2semidirect
17. #44925C2semidirect
18. #44925C2semidirect
19. #43083C2semidirect
20. #43056C2semidirect
21. #35584C2semidirect
22. #35566C2semidirect
23. #35563C2semidirect
24. #35556C2semidirect
25. #35542C2semidirect
26. #35514C2semidirect
27. #34946C2semidirect
28. #34737C2semidirect
29. C2×#2416C2semidirect
30. #34255C2semidirect
31. #34253C2semidirect
32. #34204C2semidirect
33. #34200C2semidirect
34. #34180C2semidirect
35. #34178C2semidirect
36. C2×#555C22semidirect
50. #2808C22semidirect
51. #2808C22semidirect
52. #2803C22semidirect
53. #2803C22semidirect
54. #2795C22semidirect
55. #2784C22semidirect
56. #2784C22semidirect
57. #2783C22semidirect
58. #2783C22semidirect
59. #2781C22semidirect
60. #2781C22semidirect
61. #2775C22semidirect
62. #2756C22semidirect
63. #2744C22semidirect
64. #2737C22semidirect
65. #2737C22semidirect
66. #2731C22semidirect
67. #2699C22semidirect
68. #2699C22semidirect
69. #2686C22semidirect
70. #2686C22semidirect
71. #2686C22semidirect
72. #2686C22semidirect
73. #2686C22semidirect
74. #2610C22semidirect
75. #2609C22semidirect
76. #2609C22semidirect
77. #2592C22semidirect
78. #2592C22semidirect
79. #2584C22semidirect
80. #2584C22semidirect
81. #2574C22semidirect
82. #2572C22semidirect
83. #2567C22semidirect
84. #2563C22semidirect
85. #2563C22semidirect
86. #2563C22semidirect
87. #2562C22semidirect
88. #2562C22semidirect
89. #2562C22semidirect
90. #2562C22semidirect
91. #2562C22semidirect
92. #2562C22semidirect
96. #2555C22semidirect
97. #2555C22semidirect
98. #2552C22semidirect
99. #2551C22semidirect
100. #2550C22semidirect
101. #2550C22semidirect
103. #2548C22semidirect
104. #2548C22semidirect
105. #2547C22semidirect
106. #2547C22semidirect
107. #2547C22semidirect
108. #2546C22semidirect
109. #2537C22semidirect
110. #2537C22semidirect
111. #2537C22semidirect
112. #2535C22semidirect
113. #2535C22semidirect
115. #2531C22semidirect
116. #2531C22semidirect
117. #2529C22semidirect
118. #2526C22semidirect
119. #2526C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
123. #2500C22semidirect
124. #2497C22semidirect
125. #2492C22semidirect
126. #2491C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2491C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2490C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2476C22semidirect
146. #2476C22semidirect
147. #2476C22semidirect
148. #2476C22semidirect
149. #2476C22semidirect
150. #2474C22semidirect
151. #2474C22semidirect
155. #2459C22semidirect
156. #2459C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
160. #2439C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2427C22semidirect
168. #2427C22semidirect
169. #2426C22semidirect
170. #2426C22semidirect
171. #2420C22semidirect
172. #2420C22semidirect
173. #2417C22semidirect
174. #2417C22semidirect
183. #2416C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
202. #2398C22semidirect
203. #2398C22semidirect
204. #2392C22semidirect
205. #2392C22semidirect
208. #2372C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2363C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2360C22semidirect
218. #2360C22semidirect
219. #2357C22semidirect
220. #2357C22semidirect
221. #2354C22semidirect
222. #2354C22semidirect
225. #2352C22semidirect
226. #2352C22semidirect
227. D4×C4⋊C4C22semidirect
228. D4×C4⋊C4C22semidirect
229. #2347C22semidirect
230. #2347C22semidirect
231. #2346C22semidirect
232. #2346C22semidirect
233. #2345C22semidirect
234. #2345C22semidirect
235. #2345C22semidirect
236. #2345C22semidirect
237. #2345C22semidirect
238. #2345C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
241. #2344C22semidirect
242. #2344C22semidirect
243. #2344C22semidirect
244. #2344C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
254. #2320C22semidirect
255. #2319C22semidirect
256. #2319C22semidirect
257. #2319C22semidirect
262. #2314C22semidirect
263. #2314C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
278. #2295C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
285. #2285C22semidirect
286. #2283C22semidirect
1782. C2×C4#555semidirect

Maximal subgroups

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

subgroupindex
#599532
#598412
#597672
#597502
#592362
#592322
#592292
#592232
#592172
#590262
#453822
#453782
#452082
#450522
#450202
#450092
#449252
#430832
#430562
#355842
#355662
#355632
#355562
#355422
#355142
#349462
#347372
C2×#24162
#342552
#342532
#342042
#342002
#341802
#341782