Finite Group Databasebeta

← #26005298

Subgroups — #26005298

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149224C212yesmaximal, complemented
2#19149221C212yesmaximal, complemented
3#19149211C214yesmaximal, complemented
4#19149203C212yesmaximal, complemented
5#19149196C212yesmaximal, complemented
6#19149155C212yesmaximal, complemented
7#19149154C212yesmaximal, complemented
8#19149043C214yesmaximal, complemented
9#19149034C212yesmaximal, complemented
10#19149026C212yesmaximal, complemented
11#19148689C212yesmaximal, complemented
12#19148684C212yesmaximal, complemented
13#19148632C212yesmaximal, complemented
14#19148631C212yesmaximal, complemented
15#19148579C214yesmaximal, complemented
16#19148579C212yesmaximal, complemented
17#19148577C212yesmaximal, complemented
18#19148432C212yesmaximal, complemented
19#19148429C211yesmaximal, characteristic, complemented
20#19148398C211yesmaximal, characteristic, complemented
21#19148393C212yesmaximal, complemented
22#19148391C211yesmaximal, characteristic, complemented
23#19148349C212yesmaximal, complemented
24#19148335C212yesmaximal, complemented
25#19148334C214yesmaximal, complemented
26#19148292C212yesmaximal, complemented
27#19148288C212yesmaximal, complemented
28C2×#14583451C211yesmaximal, characteristic, complemented
29C2×#14583430C211yesmaximal, characteristic, complemented
30C2×#14583429C211yesmaximal, characteristic, complemented
31C43×#3505C211yesmaximal, characteristic, complemented
32C43⋊#564C2214yescomplemented
33#14583652C2214yescomplemented
34#14583652C2214yescomplemented
35#14583651C2214yescomplemented
36#14583651C2214yescomplemented
37#14583650C2214yescomplemented
38#14583649C2214yescomplemented
39#14583644C2214yescomplemented
40#14583628C2212yescomplemented
41#14583627C2212yescomplemented
42#14583626C2214yescomplemented
43#14583626C2212yescomplemented
44#14583626C2212yescomplemented
45#14583619C2214yescomplemented
46#14583619C2212yescomplemented
47#14583618C2214yescomplemented
48#14583618C2212yescomplemented
49#14583618C2212yescomplemented
50#14583617C2212yescomplemented
51#14583616C2214yescomplemented
52#14583616C2214yescomplemented
53#14583616C2214yescomplemented
54#14583608C2214yescomplemented
55#14583608C2214yescomplemented
56#14583608C2214yescomplemented
57#14583608C2214yescomplemented
58#14583608C2214yescomplemented
59#14583608C2214yescomplemented
60#14583607C2212yescomplemented
61#14583606C2214yescomplemented
62#14583606C2212yescomplemented
63#14583606C2214yescomplemented
64#14583606C2212yescomplemented
65#14583604C2212yescomplemented
66#14583604C2214yescomplemented
67#14583603C2214yescomplemented
68#14583601C2212yescomplemented
69#14583601C2214yescomplemented
70#14583592C2214yescomplemented
71#14583592C2214yescomplemented
72#14583592C2214yescomplemented
73#14583591C2214yescomplemented
74#14583591C2212yescomplemented
75#14583589C2214yescomplemented
76#14583589C2214yescomplemented
77#14583589C2214yescomplemented
78#14583588C2214yescomplemented
79#14583588C2212yescomplemented
80#14583586C2214yescomplemented
81#14583586C2214yescomplemented
82#14583586C2214yescomplemented
83#14583586C2214yescomplemented
84#14583586C2214yescomplemented
85#14583586C2214yescomplemented
86#14583586C2214yescomplemented
87#14583586C2214yescomplemented
88#14583586C2214yescomplemented
89#14583585C2214yescomplemented
90#14583584C2212yescomplemented
91#14583582C2214yescomplemented
92#14583582C2214yescomplemented
93#14583582C2214yescomplemented
94#14583580C2214yescomplemented
95#14583580C2214yescomplemented
96#14583580C2214yescomplemented
97#14583580C2214yescomplemented
98#14583580C2214yescomplemented
99#14583578C2214yescomplemented
100#14583578C2214yescomplemented
101#14583575C2214yescomplemented
102#14583575C2214yescomplemented
103#14583575C2214yescomplemented
104#14583572C2214yescomplemented
105D4×Dic86C2214yescomplemented
106D4×Dic86C2212yescomplemented
107D4×Dic86C2212yescomplemented
108D4×Dic86C2212yescomplemented
109D4×Dic86C2214yescomplemented
110Q8×C22⋊D43C2212yescomplemented
111#14583562C2212yescomplemented
112#14583562C2212yescomplemented
113#14583556C2212yescomplemented
114#14583555C2214yescomplemented
115#14583555C2212yescomplemented
116#14583555C2212yescomplemented
117#14583555C2214yescomplemented
118#14583549C2212yescomplemented
119#14583548C2212yescomplemented
120#14583543C2212yescomplemented
121#14583536C2214yescomplemented
122#14583530C2212yescomplemented
123#14583529C2212yescomplemented
124#14583528C2214yescomplemented
125#14583528C2212yescomplemented
126#14583527C2212yescomplemented
127#14583527C2214yescomplemented
128#14583525C2212yes—
129#14583525C2212yes—
130#14583525C2214yescomplemented
131#14583525C2212yescomplemented
132#14583524C2212yescomplemented
133#14583518C2212yescomplemented
134#14583518C2214yescomplemented
135#14583517C2214yescomplemented
136#14583517C2214yescomplemented
137#14583517C2214yescomplemented
138#14583516C2212yescomplemented
139#14583516C2214yescomplemented
140#14583516C2212yescomplemented
141#14583514C2212yescomplemented
142#14583513C2214yescomplemented
143#14583512C2212yescomplemented
144#14583512C2214yescomplemented
145#14583511C2214yescomplemented
146#14583509C2212yescomplemented
147#14583509C2214yescomplemented
148#14583509C2212yescomplemented
149#14583508C2214yescomplemented
150#14583507C2212yescomplemented
151#14583506C2214yescomplemented
152#14583506C2214yescomplemented
153#14583506C2214yescomplemented
154#14583506C2214yescomplemented
155#14583506C2214yescomplemented
156#14583506C2214yescomplemented
157#14583494C2212yes—
158#14583494C2214yescomplemented
159#14583494C2214yescomplemented
160#14583494C2214yescomplemented
161#14583493C2214yes—
162#14583493C2214yescomplemented
163#14583492C2214yescomplemented
164#14583491C2214yescomplemented
165#14583491C2214yescomplemented
166#14583491C2214yescomplemented
167#14583486C2212yes—
168#14583484C2214yes—
169#14583471C2214yescomplemented
170#14583470C2212yescomplemented
171#14583469C2212yescomplemented
172#14583458C2212yes—
173#14583456C2212yescomplemented
174#14583452C2214yescomplemented
175#14583451C2212yescomplemented
176#14583451C2212yescomplemented
177#14583451C2212yescomplemented
178#14583451C2212yescomplemented
179#14583451C2212yescomplemented
180#14583451C2212yescomplemented
181#14583451C2212yescomplemented
182#14583451C2212yescomplemented
183#14583451C2212yescomplemented
184C2×#13063324C2211yescharacteristic, complemented
185C2×#13063323C2211yescharacteristic, complemented
186#14583430C2212yes—
187#14583430C2212yes—
188#14583430C2212yes—
189#14583430C2212yes—
190#14583430C2212yes—
191#14583430C2214yescomplemented
192#14583430C2214yescomplemented
193#14583430C2212yescomplemented
194#14583430C2212yescomplemented
195#14583430C2212yescomplemented
196#14583430C2212yescomplemented
197#14583429C2212yes—
198#14583429C2212yes—
199#14583429C2212yes—
200#14583429C2212yes—
201#14583429C2214yescomplemented
202#14583429C2214yescomplemented
203#14583429C2212yescomplemented
204#14583429C2212yescomplemented
205#14583429C2212yescomplemented
206#14583429C2212yescomplemented
207#14583426C2214yes—
208C2×#13063320C2211yescharacteristic, complemented
209C2×#13063318C2211yescharacteristic, complemented
210C2×#13063318C2212yescomplemented
211C2×#13063316C2211yescharacteristic, complemented
212C2×#13063315C2211yescharacteristic, complemented
213C2×#13063315C2212yescomplemented
214C2×#13063312C2211yescharacteristic, complemented
215C2×#13063311C2211yescharacteristic, complemented
216#14583409C2212yes—
217#14583405C2214yes—
218C2×#13063309C2211yescharacteristic
219C2×#13063306C2212yes—
220C2×#13063306C2211yescharacteristic
221C2×#13063304C2211yescharacteristic
222C2×#13063304C2211yescharacteristic
223C2×#13063304C2212yescomplemented
224C2×#13063302C2211yescharacteristic
225C2×#13063302C2212yes—
226C2×#13063302C2214yescomplemented
227C22⋊Q8×D43C2212yescomplemented
228C2×#13063297C2211yescharacteristic
229#14583382C2212yescomplemented
230#14583378C2214yescomplemented
231#14583378C2212yescomplemented
232#14583376C2214yescomplemented
233#14583376C2212yescomplemented
234#14583375C2212yescomplemented
235#14583374C2212yes—
236#14583374C2212yes—
237#14583372C2212yes—
238C2×Q8×Dic43C2211yescharacteristic, complemented
239C2×C4×Dic86C2211yescharacteristic, complemented
240C2×#13063290C2212yescomplemented
241C2×#13063290C2211yescharacteristic, complemented
242C2×#13063290C2211yescharacteristic, complemented
243C2×D4×Dic43C2212yes—
244C2×D4×Dic43C2211yescharacteristic, complemented
245C2×C4×C22⋊D43C2211yescharacteristic
246C2×C4×C22⋊D43C2211yescharacteristic, complemented
247C2×#13063284C2211yescharacteristic, complemented
248C2×#13063282C2211yescharacteristic, complemented
249C2×#13063281C2212yes—
250C2×#13063281C2212yescomplemented
251C22×C4×Dic43C2211yescharacteristic
252C43×#553C2212yescomplemented
253C43×#553C2214yescomplemented
254C43×#552C2212yescomplemented
255C43×#551C2214yescomplemented
256C43×#548C2212yescomplemented
257C43×#546C2212yescomplemented
258C43×#539C2212yes—
259C43×#538C2212yes—
260C43×#534C2212yes—
261C43×#529C2212yes—
262C43×#525C2212yes—
263C2×C22⋊Q8×C43C2211yescharacteristic
264C2×#121×C43C2211yescharacteristic
265C43×#518C2212yes—
266C2×C4×D4×C43C2211yescharacteristic
267C2×#10621900C2314yes—
268C2×#10621900C2312yes—
269C22×Dic86C2312yes—
270C22×Dic86C2311yescharacteristic
271C22×Dic86C2312yes—
272C22×Dic86C2314yes—
273C22×Dic86C2311yescharacteristic
274C22×Dic86C2311yescharacteristic
275C2×Q8×D43C2312yes—
276C22×C22⋊D43C2311yescharacteristic
277C22×C22⋊D43C2311yescharacteristic
278C23×Dic43C2311yescharacteristic
279C23×Dic43C2311yescharacteristic
280C23×Dic43C2312yes—
281C22×C4×D43C2311yescharacteristic
282#13063325C2312yes—
283#13063325C2312yes—
284#13063325C2314yes—
285#13063325C2314yes—
286#13063324C2314yes—
287#13063324C2314yes—
288#13063324C2314yes—
289#13063324C2312yes—
290#13063324C2314yes—
291#13063324C2314yes—
292#13063324C2314yes—
293#13063324C2314yes—
294#13063324C2312yes—
295#13063324C2312yes—
296#13063324C2312yes—
297#13063324C2312yes—
298#13063323C2312yes—
299#13063323C2312yes—
300#13063323C2314yes—
301#13063323C2312yes—
302#13063323C2312yes—
303#13063323C2312yes—
304#13063320C2314yes—
305#13063320C2314yes—
306#13063320C2314yes—
307#13063320C2314yes—
308#13063320C2314yes—
309#13063320C2312yes—
310#13063320C2312yes—
311#13063320C2312yes—
312#13063320C2312yes—
313#13063319C2314yes—
314#13063319C2314yes—
315#13063318C2314yes—
316#13063318C2314yes—
317#13063318C2314yes—
318#13063318C2314yes—
319#13063318C2314yes—
320#13063318C2314yes—
321#13063318C2314yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2314yes—
326#13063318C2314yes—
327#13063318C2314yes—
328#13063318C2314yes—
329#13063318C2314yes—
330#13063318C2314yes—
331#13063318C2312yes—
332#13063318C2314yes—
333#13063318C2314yes—
334#13063318C2314yes—
335#13063318C2312yes—
336#13063318C2314yes—
337#13063318C2312yes—
338#13063318C2312yes—
339#13063318C2314yes—
340#13063318C2314yes—
341#13063317C2314yes—
342#13063317C2314yes—
343#13063317C2314yes—
344#13063317C2314yes—
345#13063317C2314yes—
346#13063316C2312yes—
347#13063316C2314yes—
348#13063316C2314yes—
349#13063316C2314yes—
350#13063316C2314yes—
351#13063316C2314yes—
352#13063316C2314yes—
353#13063316C2314yes—
354#13063316C2312yes—
355#13063316C2314yes—
356#13063316C2314yes—
357#13063316C2312yes—
358#13063316C2312yes—
359#13063316C2312yes—
360#13063315C2314yes—
361#13063315C2314yes—
362#13063315C2314yes—
363#13063315C2314yes—
364#13063315C2314yes—
365#13063315C2314yes—
366#13063315C2314yes—
367#13063315C2314yes—
368#13063315C2312yes—
369#13063315C2314yes—
370#13063315C2314yes—
371#13063315C2314yes—
372#13063315C2314yes—
373#13063315C2314yes—
374#13063315C2314yes—
375#13063315C2314yes—
376#13063315C2314yes—
377#13063315C2312yes—
378#13063315C2312yes—
379#13063315C2312yes—
380#13063315C2314yes—
381#13063315C2314yes—
382#13063312C2312yes—
383#13063312C2314yes—
384#13063312C2314yes—
385#13063312C2312yes—
386#13063312C2314yes—
387#13063312C2312yes—
388#13063312C2312yes—
389#13063312C2312yes—
390#13063311C2312yes—
391#13063311C2314yes—
392#13063311C2314yes—
393#13063311C2314yes—
394#13063311C2314yes—
395#13063311C2314yes—
396#13063311C2312yes—
397#13063311C2312yes—
398#13063311C2312yes—
399#13063309C2314yes—
400#13063309C2312yes—
401#13063309C2312yes—
402#13063309C2314yes—
403#13063309C2314yes—
404#13063309C2312yes—
405#13063309C2312yes—
406#13063308C2314yes—
407#13063308C2314yes—
408#13063308C2314yes—
409#13063307C2314yes—
410#13063307C2314yes—
411#13063307C2314yes—
412#13063307C2314yes—
413#13063307C2314yes—
414#13063306C2314yes—
415#13063306C2314yes—
416#13063306C2312yes—
417#13063306C2312yes—
418#13063306C2314yes—
419#13063306C2314yes—
420#13063306C2314yes—
421#13063306C2314yes—
422#13063306C2314yes—
423#13063306C2314yes—
424#13063306C2314yes—
425#13063306C2314yes—
426#13063306C2314yes—
427#13063306C2312yes—
428#13063306C2312yes—
429#13063306C2314yes—
430#13063305C2312yes—
431#13063305C2312yes—
432#13063305C2314yes—
433#13063305C2314yes—
434#13063304C2312yes—
435#13063304C2314yes—
436#13063304C2312yes—
437#13063304C2314yes—
438#13063304C2314yes—
439#13063304C2314yes—
440#13063304C2312yes—
441#13063304C2312yes—
442#13063304C2314yes—
443#13063304C2314yes—
444#13063304C2314yes—
445#13063304C2312yes—
446#13063304C2314yes—
447#13063304C2314yes—
448#13063304C2314yes—
449#13063304C2312yes—
450#13063304C2314yes—
451#13063304C2312yes—
452#13063304C2312yes—
453#13063304C2312yes—
454#13063304C2312yes—
455#13063303C2314yes—
456#13063303C2314yes—
457#13063303C2314yes—
458#13063303C2314yes—
459#13063303C2314yes—
460#13063302C2314yes—
461#13063302C2314yes—
462#13063302C2314yes—
463#13063302C2314yes—
464#13063302C2314yes—
465#13063302C2314yes—
466#13063302C2314yes—
467#13063302C2314yes—
468#13063302C2312yes—
469#13063302C2314yes—
470#13063302C2314yes—
471#13063302C2314yes—
472#13063302C2314yes—
473#13063302C2314yes—
474#13063302C2314yes—
475#13063302C2314yes—
476#13063302C2314yes—
477#13063302C2314yes—
478#13063302C2314yes—
479#13063302C2314yes—
480#13063302C2314yes—
481#13063302C2314yes—
482#13063302C2314yes—
483#13063302C2314yes—
484#13063302C2314yes—
485#13063302C2314yes—
486#13063302C2314yes—
487#13063302C2314yes—
488#13063302C2312yes—
489#13063302C2314yes—
490#13063302C2314yes—
491#13063302C2312yes—
492#13063302C2314yes—
493#13063302C2312yes—
494#13063302C2314yes—
495#13063301C2314yes—
496#13063301C2312yes—
497#13063297C2312yes—
498#13063297C2314yes—
499#13063297C2314yes—
500#13063297C2314yes—
501#13063297C2314yes—
502#13063297C2314yes—
503#13063297C2312yes—
504#13063297C2312yes—
505#13063297C2312yes—
506#13063296C2314yes—
507#13063296C2312yes—
508#13063294C2314yes—
509#13063293C2314yes—
510Q8×Dic43C2312yes—
511Q8×Dic43C2312yes—
512Q8×Dic43C2312yes—
513Q8×Dic43C2312yes—
514Q8×Dic43C2312yes—
515C4×Dic86C2312yes—
516C4×Dic86C2312yes—
517C4×Dic86C2314yes—
518C4×Dic86C2314yes—
519C4×Dic86C2312yes—
520C4×Dic86C2314yes—
521C4×Dic86C2314yes—
522C4×Dic86C2314yes—
523C4×Dic86C2314yes—
524C4×Dic86C2314yes—
525C4×Dic86C2312yes—
526C4×Dic86C2312yes—
527C4×Dic86C2312yes—
528#13063290C2312yes—
529#13063290C2314yes—
530#13063290C2314yes—
531#13063290C2312yes—
532#13063290C2312yes—
533#13063290C2312yes—
534#13063290C2312yes—
535#13063290C2314yes—
536#13063290C2314yes—
537#13063290C2314yes—
538#13063290C2314yes—
539#13063290C2312yes—
540#13063290C2312yes—
541#13063290C2314yes—
542#13063290C2312yes—
543#13063290C2312yes—
544#13063290C2312yes—
545#13063290C2314yes—
546D4×Dic43C2312yes—
547D4×Dic43C2314yes—
548D4×Dic43C2314yes—
549D4×Dic43C2314yes—
550D4×Dic43C2314yes—
551D4×Dic43C2314yes—
552D4×Dic43C2314yes—
553D4×Dic43C2314yes—
554D4×Dic43C2314yes—
555D4×Dic43C2314yes—
556D4×Dic43C2314yes—
557D4×Dic43C2312yes—
558D4×Dic43C2312yes—
559D4×Dic43C2314yes—
560D4×Dic43C2314yes—
561D4×Dic43C2314yes—
562D4×Dic43C2314yes—
563D4×Dic43C2314yes—
564D4×Dic43C2312yes—
565D4×Dic43C2312yes—
566C4×C22⋊D43C2312yes—
567C4×C22⋊D43C2312yes—
568C4×C22⋊D43C2314yes—
569C4×C22⋊D43C2314yes—
570C4×C22⋊D43C2314yes—
571C4×C22⋊D43C2312yes—
572C4×C22⋊D43C2312yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2312yes—
575C4×C22⋊D43C2312yes—
576C4×C22⋊D43C2312yes—
577C4×C22⋊D43C2312yes—
578(C22⋊D43)⋊C4C2314yes—
579(C22⋊D43)⋊C4C2314yes—
580(C22⋊D43)⋊C4C2314yes—
581(C22⋊D43)⋊C4C2314yes—
582(C22⋊D43)⋊C4C2314yes—
583#13063284C2314yes—
584#13063284C2314yes—
585#13063284C2314yes—
586#13063284C2314yes—
587#13063284C2312yes—
588#13063284C2312yes—
589#13063284C2312yes—
590#13063284C2312yes—
591#13063283C2314yes—
592#13063283C2312yes—
593#13063282C2314yes—
594#13063282C2314yes—
595#13063282C2312yes—
596#13063282C2312yes—
597#13063282C2312yes—
598#13063282C2312yes—
599#13063281C2314yes—
600#13063281C2314yes—
601#13063281C2314yes—
602#13063281C2314yes—
603#13063281C2314yes—
604#13063281C2314yes—
605#13063281C2314yes—
606#13063281C2314yes—
607#13063281C2314yes—
608#13063281C2314yes—
609#13063281C2314yes—
610#13063281C2314yes—
611#13063281C2314yes—
612#13063281C2314yes—
613#13063281C2314yes—
614#13063281C2314yes—
615C2×C4⋊Dic43C2311yescharacteristic
616C2×C4⋊Dic43C2311yescharacteristic
617C2×C4⋊Dic43C2314yes—
618C2×C4⋊Dic43C2312yes—
619C2×C4⋊Dic43C2312yes—
620C2×C4⋊Dic43C2311yescharacteristic
621C2×C4⋊Dic43C2311yescharacteristic
622C2×C4⋊Dic43C2311yescharacteristic
623C2×C4⋊Dic43C2312yes—
624C2×Dic43⋊C4C2312yes—
625C2×Dic43⋊C4C2312yes—
626C2×Dic43⋊C4C2314yes—
627C2×Dic43⋊C4C2311yescharacteristic
628C2×Dic43⋊C4C2311yescharacteristic
629C2×Dic43⋊C4C2311yescharacteristic
630C2×Dic43⋊C4C2314yes—
631C2×Dic43⋊C4C2314yes—
632C2×Dic43⋊C4C2312yes—
633C2×Dic43⋊C4C2312yes—
634C2×Dic43⋊C4C2312yes—
635C2×Dic43⋊C4C2312yes—
636C2×Dic43⋊C4C2312yes—
637C2×Dic43⋊C4C2312yes—
638C2×Dic43⋊C4C2311yescharacteristic
639C2×Dic43⋊C4C2311yescharacteristic
640C2×Dic43⋊C4C2311yescharacteristic
641C4⋊C4×D43C2314yes—
642C4⋊C4×D43C2312yes—
643C2×C22⋊Dic43C2312yes—
644C2×C22⋊Dic43C2312yes—
645C2×C22⋊Dic43C2314yes—
646C2×C22⋊Dic43C2311yescharacteristic
647C2×C22⋊Dic43C2311yescharacteristic
648C2×C22⋊Dic43C2311yescharacteristic
649C2×C22⋊Dic43C2314yes—
650C2×C22⋊Dic43C2312yes—
651C2×C22⋊Dic43C2311yescharacteristic
652C2×C22⋊Dic43C2312yes—
653C2×C22⋊Dic43C2312yes—
654C2×(C2×D43)⋊C4C2311yescharacteristic
655C2×(C2×D43)⋊C4C2311yescharacteristic
656C2×(C2×D43)⋊C4C2311yescharacteristic
657C2×(C2×D43)⋊C4C2311yescharacteristic
658C22⋊C4×D43C2314yes—
659C2×C4×Dic43C2311yescharacteristic
660C2×C4×Dic43C2311yescharacteristic
661C2×C4×Dic43C2311yescharacteristic
662C2×C4×Dic43C2311yescharacteristic
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2311yescharacteristic
668C2×C4×Dic43C2311yescharacteristic
669C2×C4×Dic43C2311yescharacteristic
670C2×C4×Dic43C2311yescharacteristic
671C2×C4×Dic43C2312yes—
672C2×C4×Dic43C2312yes—
673C2×C4×Dic43C2312yes—
674C2×C4×Dic43C2311yescharacteristic
675C2×#41×C43C2312yes—
676C22×Q8×C43C2311yescharacteristic
677C22×D4×C43C2311yescharacteristic
678C22×D4×C43C2312yes—
679C22×D4×C43C2311yescharacteristic
680C23×C4×C43C2311yescharacteristic
681C23×C4×C43C2311yescharacteristic
682#126×C43C2314yes—
683#126×C43C2314yes—
684#126×C43C2314yes—
685#125×C43C2312yes—
686#125×C43C2314yes—
687#124×C43C2312yes—
688#124×C43C2314yes—
689#123×C43C2314yes—
690#123×C43C2314yes—
691#123×C43C2314yes—
692#123×C43C2314yes—
693#123×C43C2314yes—
694C22⋊Q8×C43C2312yes—
695C22⋊Q8×C43C2312yes—
696C22⋊Q8×C43C2312yes—
697C22⋊Q8×C43C2312yes—
698C22⋊Q8×C43C2312yes—
699C22⋊Q8×C43C2314yes—
700#121×C43C2312yes—
701#121×C43C2312yes—
702#121×C43C2314yes—
703#121×C43C2314yes—
704#121×C43C2312yes—
705#121×C43C2312yes—
706#121×C43C2312yes—
707#121×C43C2314yes—
708#120×C43C2314yes—
709#120×C43C2314yes—
710C4×Q8×C43C2312yes—
711C4×D4×C43C2312yes—
712C4×D4×C43C2312yes—
713C4×D4×C43C2314yes—
714C4×D4×C43C2314yes—
715C4×D4×C43C2312yes—
716C4×D4×C43C2312yes—
717C4×D4×C43C2312yes—
718C4×D4×C43C2314yes—
719C4×D4×C43C2314yes—
720C4×D4×C43C2314yes—
721#117×C43C2314yes—
722#117×C43C2312yes—
723#117×C43C2314yes—
724C2×C4⋊C4×C43C2311yescharacteristic
725C2×C4⋊C4×C43C2311yescharacteristic
726C2×C4⋊C4×C43C2312yes—
727C2×C4⋊C4×C43C2311yescharacteristic
728C2×C22⋊C4×C43C2311yescharacteristic
729C2×C22⋊C4×C43C2311yescharacteristic
730C2×C22⋊C4×C43C2314yes—
731C2×C22⋊C4×C43C2312yes—
732C2×C22⋊C4×C43C2312yes—
733C2×C42×C43C2311yescharacteristic
734C24×C43C2412yes—
735C24×C43C2411yescharacteristic
736C24×C43C2411yescharacteristic
737C23×D43C2411yescharacteristic
738#41×C43—44no—
739C2×Q8×C43—42no—
740C2×Q8×C43C2412yes—
741C2×Q8×C43C2412yes—
742C2×D4×C43—24no—
743C2×D4×C43—28no—
744C2×D4×C43—42no—
745C2×D4×C43C2412yes—
746C2×D4×C43C2414yes—
747C2×D4×C43C2412yes—
748C2×D4×C43C2414yes—
749C2×D4×C43C2412yes—
750C2×D4×C43C2414yes—
751C2×D4×C43C2414yes—
752C2×D4×C43C2412yes—
753C22×C4×C43—42no—
754C22×C4×C43—42no—
755C22×C4×C43C2411yescharacteristic
756C22×C4×C43C2411yescharacteristic
757C22×C4×C43C2412yes—
758C22×C4×C43C2411yescharacteristic
759C22×C4×C43C2411yescharacteristic
760C22×C4×C43C2412yes—
761C22×C4×C43C2411yescharacteristic
762C22×C4×C43C2411yescharacteristic
763C22×C4×C43C2412yes—
764C22×C4×C43C2411yescharacteristic
765C22×C4×C43C2412yes—
766C22×C4×C43C2411yescharacteristic
767C22×C4×C43C2414yes—
768C22×C4×C43C2414yes—
769C22×C4×C43C2411yescharacteristic
770C22×C4×C43C2412yes—
771C2×C22⋊D43—24no—
772C2×C22⋊D43—42no—
773C2×C22⋊D43C2412yes—
774C2×C22⋊D43C2412yes—
775C2×C22⋊D43C2412yes—
776C2×C22⋊D43C2414yes—
777C2×C22⋊D43C2414yes—
778C2×C22⋊D43C2412yes—
779C22×Dic43—24no—
780C22×Dic43—42no—
781C22×Dic43—44no—
782C22×Dic43C2411yescharacteristic
783C22×Dic43C2411yescharacteristic
784C22×Dic43C2411yescharacteristic
785C22×Dic43C2411yescharacteristic
786C22×Dic43C2411yescharacteristic
787C22×Dic43C2411yescharacteristic
788C22×Dic43C2411yescharacteristic
789C22×Dic43C2411yescharacteristic
790C22×Dic43C2411yescharacteristic
791C22×Dic43C2411yescharacteristic
792C22×Dic43C2414yes—
793C22×Dic43C2411yescharacteristic
794C22×Dic43C2411yescharacteristic
795C22×Dic43C2411yescharacteristic
796C22×Dic43C2411yescharacteristic
797C22×Dic43C2412yes—
798C22×Dic43C2412yes—
799C22×Dic43C2412yes—
800C22×Dic43C2411yescharacteristic
801C22×Dic43C2412yes—
802C22×Dic43C2414yes—
803C22×Dic43C2414yes—
804C22×Dic43C2414yes—
805C22×Dic43C2414yes—
806C22×Dic43C2414yes—
807Q8×D43—44no—
808#10621900—44no—
809#10621900—48no—
810C2×C4×D43—42no—
811C2×C4×D43C2412yes—
812C2×C4×D43C2414yes—
813C2×C4×D43C2414yes—
814C2×C4×D43C2412yes—
815C2×Dic86—42no—
816C2×Dic86—48no—
817C2×Dic86—44no—
818C2×Dic86—42no—
819C2×Dic86—44no—
820C2×Dic86—42no—
821C2×Dic86C2414yes—
822C2×Dic86C2412yes—
823C2×Dic86C2412yes—
824C2×Dic86C2412yes—
825C2×Dic86C2414yes—
826C2×Dic86C2412yes—
827C2×Dic86C2414yes—
828C2×Dic86C2412yes—
829C2×Dic86C2414yes—
830C2×Dic86C2414yes—
831C2×Dic86C2412yes—
832C2×Dic86C2414yes—
833C4⋊C4×C43C2412yes—
834C4⋊C4×C43C2414yes—
835C4⋊C4×C43C2412yes—
836C4⋊C4×C43C2412yes—
837C4⋊C4×C43C2412yes—
838C4⋊C4×C43C2412yes—
839C4⋊C4×C43C2414yes—
840C4⋊C4×C43C2412yes—
841C4⋊C4×C43C2414yes—
842C4⋊C4×C43C2414yes—
843C4⋊C4×C43C2414yes—
844C4⋊C4×C43C2414yes—
845C22⋊C4×C43C2412yes—
846C22⋊C4×C43C2414yes—
847C22⋊C4×C43C2414yes—
848C22⋊C4×C43C2412yes—
849C22⋊C4×C43C2414yes—
850C22⋊C4×C43C2412yes—
851C22⋊C4×C43C2414yes—
852C22⋊C4×C43C2414yes—
853C22⋊C4×C43C2412yes—
854C22⋊C4×C43C2414yes—
855C22⋊C4×C43C2414yes—
856C22⋊C4×C43C2414yes—
857C22⋊C4×C43C2414yes—
858C22⋊C4×C43C2414yes—
859C42×C43C2412yes—
860C42×C43C2412yes—
861C42×C43C2414yes—
862C42×C43C2414yes—
863C22⋊Dic43C2414yes—
864C22⋊Dic43C2412yes—
865C22⋊Dic43C2414yes—
866C22⋊Dic43C2414yes—
867C22⋊Dic43C2414yes—
868C22⋊Dic43C2412yes—
869C22⋊Dic43C2412yes—
870C22⋊Dic43C2412yes—
871C22⋊Dic43C2414yes—
872C22⋊Dic43C2414yes—
873C22⋊Dic43C2412yes—
874C22⋊Dic43C2412yes—
875C22⋊Dic43C2414yes—
876C22⋊Dic43C2412yes—
877C22⋊Dic43C2412yes—
878C22⋊Dic43C2414yes—
879C22⋊Dic43C2414yes—
880C22⋊Dic43C2414yes—
881C22⋊Dic43C2414yes—
882C22⋊Dic43C2414yes—
883C22⋊Dic43C2414yes—
884C22⋊Dic43C2414yes—
885C22⋊Dic43C2414yes—
886C22⋊Dic43C2414yes—
887(C2×D43)⋊C4C2414yes—
888(C2×D43)⋊C4C2414yes—
889(C2×D43)⋊C4C2412yes—
890(C2×D43)⋊C4C2412yes—
891(C2×D43)⋊C4C2412yes—
892(C2×D43)⋊C4C2412yes—
893(C2×D43)⋊C4C2412yes—
894(C2×D43)⋊C4C2412yes—
895(C2×D43)⋊C4C2412yes—
896(C2×D43)⋊C4C2412yes—
897(C2×D43)⋊C4C2414yes—
898(C2×D43)⋊C4C2414yes—
899C4⋊Dic43C2412yes—
900C4⋊Dic43C2414yes—
901C4⋊Dic43C2412yes—
902C4⋊Dic43C2412yes—
903C4⋊Dic43C2414yes—
904C4⋊Dic43C2414yes—
905C4⋊Dic43C2412yes—
906C4⋊Dic43C2412yes—
907C4⋊Dic43C2412yes—
908C4⋊Dic43C2412yes—
909C4⋊Dic43C2412yes—
910C4⋊Dic43C2414yes—
911C4⋊Dic43C2414yes—
912C4⋊Dic43C2414yes—
913C4⋊Dic43C2412yes—
914C4⋊Dic43C2414yes—
915C4⋊Dic43C2412yes—
916C4⋊Dic43C2414yes—
917C4⋊Dic43C2414yes—
918C4⋊Dic43C2414yes—
919C4⋊Dic43C2414yes—
920C4⋊Dic43C2414yes—
921Dic43⋊C4C2414yes—
922Dic43⋊C4C2414yes—
923Dic43⋊C4C2414yes—
924Dic43⋊C4C2412yes—
925Dic43⋊C4C2412yes—
926Dic43⋊C4C2414yes—
927Dic43⋊C4C2414yes—
928Dic43⋊C4C2414yes—
929Dic43⋊C4C2414yes—
930Dic43⋊C4C2414yes—
931Dic43⋊C4C2412yes—
932Dic43⋊C4C2412yes—
933Dic43⋊C4C2412yes—
934Dic43⋊C4C2414yes—
935Dic43⋊C4C2414yes—
936Dic43⋊C4C2414yes—
937Dic43⋊C4C2414yes—
938Dic43⋊C4C2414yes—
939Dic43⋊C4C2414yes—
940Dic43⋊C4C2414yes—
941Dic43⋊C4C2412yes—
942Dic43⋊C4C2412yes—
943Dic43⋊C4C2412yes—
944Dic43⋊C4C2412yes—
945Dic43⋊C4C2412yes—
946Dic43⋊C4C2414yes—
947Dic43⋊C4C2414yes—
948Dic43⋊C4C2414yes—
949Dic43⋊C4C2414yes—
950Dic43⋊C4C2414yes—
951Dic43⋊C4C2414yes—
952Dic43⋊C4C2412yes—
953Dic43⋊C4C2412yes—
954Dic43⋊C4C2414yes—
955Dic43⋊C4C2414yes—
956Dic43⋊C4C2414yes—
957Dic43⋊C4C2414yes—
958Dic43⋊C4C2414yes—
959Dic43⋊C4C2414yes—
960Dic43⋊C4C2414yes—
961C4×Dic43C2411yescharacteristic
962C4×Dic43C2411yescharacteristic
963C4×Dic43C2411yescharacteristic
964C4×Dic43C2411yescharacteristic
965C4×Dic43C2411yescharacteristic
966C4×Dic43C2411yescharacteristic
967C4×Dic43C2411yescharacteristic
968C4×Dic43C2411yescharacteristic
969C4×Dic43C2411yescharacteristic
970C4×Dic43C2411yescharacteristic
971C4×Dic43C2411yescharacteristic
972C4×Dic43C2411yescharacteristic
973C4×Dic43C2411yescharacteristic
974C4×Dic43C2411yescharacteristic
975C4×Dic43C2411yescharacteristic
976C4×Dic43C2411yescharacteristic
977C4×Dic43C2414yes—
978C4×Dic43C2414yes—
979C4×Dic43C2414yes—
980C4×Dic43C2414yes—
981C4×Dic43C2414yes—
982C4×Dic43C2412yes—
983C4×Dic43C2414yes—
984C4×Dic43C2412yes—
985C4×Dic43C2414yes—
986C4×Dic43C2414yes—
987C4×Dic43C2414yes—
988C4×Dic43C2414yes—
989C4×Dic43C2414yes—
990C4×Dic43C2414yes—
991C23×C43—22no—
992C23×C43—24no—
993C23×C43—41no—
994C23×C43—41no—
995C23×C43—42no—
996C23×C43—41no—
997C23×C43—41no—
998C23×C43—42no—
999C23×C432−1+414yes—
1000C23×C43C2514yes—
1001C23×C43C2512yes—
1002C23×C43C2511yescharacteristic
1003C23×C43C2511yescharacteristic
1004C23×C43C2511yescharacteristic
1005C22×D43—22no—
1006C22×D43—41no—
1007C22×D43—41no—
1008C22×D43C2512yes—
1009Q8×C43—24no—
1010Q8×C43—42no—
1011D4×C43—28no—
1012D4×C43—24no—
1013D4×C43—24no—
1014D4×C43—28no—
1015D4×C43—24no—
1016D4×C43—44no—
1017D4×C43—42no—
1018D4×C43—44no—
1019C2×C4×C43—22no—
1020C2×C4×C43—24no—
1021C2×C4×C43—22no—
1022C2×C4×C43—22no—
1023C2×C4×C43—24no—
1024C2×C4×C43—22no—
1025C2×C4×C43—41no—
1026C2×C4×C43—44no—
1027C2×C4×C43—42no—
1028C2×C4×C43—41no—
1029C2×C4×C43—42no—
1030C2×C4×C43—41no—
1031C2×C4×C43—41no—
1032C2×C4×C43—41no—
1033C2×C4×C43—42no—
1034C2×C4×C43—44no—
1035C2×C4×C43C2511yescharacteristic
1036C2×C4×C43C2514yes—
1037C2×C4×C43C2512yes—
1038C2×C4×C43C2511yescharacteristic
1039C2×C4×C43C2511yescharacteristic
1040C2×C4×C43C2514yes—
1041C2×C4×C43C2514yes—
1042C2×C4×C43C2512yes—
1043C2×C4×C43C2512yes—
1044C2×C4×C43C2511yescharacteristic
1045C22⋊D43—24no—
1046C22⋊D43—24no—
1047C22⋊D43—24no—
1048C22⋊D43—44no—
1049C22⋊D43—44no—
1050C22⋊D43—42no—
1051C2×Dic43—22no—
1052C2×Dic43—22no—
1053C2×Dic43—22no—
1054C2×Dic43—22no—
1055C2×Dic43—22no—
1056C2×Dic43—22no—
1057C2×Dic43—22no—
1058C2×Dic43—22no—
1059C2×Dic43—28no—
1060C2×Dic43—22no—
1061C2×Dic43—22no—
1062C2×Dic43—42no—
1063C2×Dic43—44no—
1064C2×Dic43—41no—
1065C2×Dic43—44no—
1066C2×Dic43—42no—
1067C2×Dic43—42no—
1068C2×Dic43—41no—
1069C2×Dic43—44no—
1070C2×Dic43—44no—
1071C2×Dic43—41no—
1072C2×Dic43—41no—
1073C2×Dic43—42no—
1074C2×Dic43—44no—
1075C2×Dic43—41no—
1076C2×Dic43C2511yescharacteristic
1077C2×Dic43C2511yescharacteristic
1078C2×Dic43C2511yescharacteristic
1079C2×Dic43C2512yes—
1080C2×Dic43C2511yescharacteristic
1081C2×Dic43C2511yescharacteristic
1082C2×Dic43C2514yes—
1083C2×Dic43C2514yes—
1084C2×Dic43C2511yescharacteristic
1085C2×Dic43C2514yes—
1086C2×Dic43C2512yes—
1087C2×Dic43C2511yescharacteristic
1088C2×Dic43C2512yes—
1089C2×Dic43C2514yes—
1090C2×Dic43C2511yescharacteristic
1091C4×D43—24no—
1092C4×D43—42no—
1093C4×D43—44no—
1094C4×D43—44no—
1095Dic86—24no—
1096Dic86—24no—
1097Dic86—24no—
1098Dic86—28no—
1099Dic86—42no—
1100Dic86—44no—
1101Dic86—44no—
1102Dic86—42no—
1103Dic86—42no—
1104Dic86—44no—
1105Dic86—44no—
1106Dic86—44no—
1107#62823—431nomaximal, Sylow
1108C22×C43—21no—
1109C22×C43—21no—
1110C22×C43—21no—
1111C22×C43—21no—
1112C22×C43—21no—
1113C22×C43—21no—
1114C22×C43—24no—
1115C22×C43—22no—
1116C22×C43—24no—
1117C22×C43—22no—
1118C22×C43—22no—
1119C22×C43—24no—
1120C22×C43—44no—
1121C22×C43—82no—
1122C22×C43—84no—
1123C22×C43C2×2−1+412yes—
1124C22×C43C2×2−1+412yes—
1125C22×C43C2×2−1+412yes—
1126C22×C43C2611yescharacteristic
1127C2×D43—22no—
1128C2×D43—22no—
1129C2×D43—22no—
1130C2×D43—82no—
1131C4×C43—22no—
1132C4×C43—24no—
1133C4×C43—22no—
1134C4×C43—24no—
1135C4×C43—22no—
1136C4×C43—21no—
1137C4×C43—21no—
1138C4×C43—24no—
1139C4×C43—21no—
1140C4×C43#58512yes—
1141Dic43—21no—
1142Dic43—21no—
1143Dic43—21no—
1144Dic43—21no—
1145Dic43—22no—
1146Dic43—24no—
1147Dic43—22no—
1148Dic43—24no—
1149Dic43—24no—
1150Dic43—21no—
1151Dic43—22no—
1152Dic43—24no—
1153Dic43—21no—
1154Dic43—21no—
1155Dic43#58512yes—
1156#3564—434no—
1157#3564—432no—
1158#3564—432no—
1159#3563—432no—
1160#3563—432no—
1161#3561—432no—
1162#3561—432no—
1163#3553—434no—
1164#3552—432no—
1165#3552—432no—
1166#3523—432no—
1167#3523—432no—
1168#3520—432no—
1169#3520—432no—
1170#3516—434no—
1171#3516—432no—
1172#3516—432no—
1173#3505—432no—
1174#3505—431no—
1175#3505D4311yescharacteristic, complemented
1176#3501—431no—
1177#3501—432no—
1178#3501—431no—
1179#3495—434no—
1180#3495—432no—
1181#3495—432no—
1182#3491—432no—
1183#3491—432no—
1184C2×#533—431no—
1185C2×#529—431no—
1186C2×#529—431no—
1187C2×C43—22no—
1188C2×C43—22no—
1189C2×C43—22no—
1190C2×C43—44no—
1191C2×C43—42no—
1192C2×C43C22×2−1+411yescharacteristic
1193C2×C43C2×#58511yescharacteristic
1194C2×C43C2×#58511yescharacteristic
1195D43—42no—
1196#564—434no—
1197#563—434no—
1198#563—434no—
1199#563—434no—
1200#563—434no—
1201#563—434no—
1202#563—434no—
1203#562—434no—
1204#557—434no—
1205#557—432no—
1206#557—432no—
1207#557—432no—
1208#557—432no—
1209#556—434no—
1210#556—434no—
1211#556—434no—
1212#556—434no—
1213#556—432no—
1214#556—432no—
1215#556—434no—
1216#556—432no—
1217#556—432no—
1218#554—434no—
1219#554—432no—
1220#554—434no—
1221#554—432no—
1222#554—434no—
1223#554—432no—
1224#554—434no—
1225#554—434no—
1226#554—434no—
1227#554—434no—
1228#554—434no—
1229#554—434no—
1230#554—432no—
1231#554—434no—
1232#553—434no—
1233#553—434no—
1234#553—434no—
1235#553—432no—
1236#553—434no—
1237#553C2×D4312yescomplemented
1238#553C2×D4314yescomplemented
1239#552—434no—
1240#552—434no—
1241#552—434no—
1242#552—434no—
1243#552—434no—
1244#552—434no—
1245#552—434no—
1246#552—434no—
1247#552—434no—
1248#552—434no—
1249#552—434no—
1250#552—432no—
1251#552—434no—
1252#552—434no—
1253#552—434no—
1254#552—434no—
1255#552—434no—
1256#552—434no—
1257#552—434no—
1258#552—432no—
1259#552—432no—
1260#552C2×D4312yescomplemented
1261#551—434no—
1262#551—434no—
1263#551—434no—
1264#551—434no—
1265#551—434no—
1266#551—434no—
1267#551—434no—
1268#551—434no—
1269#551—434no—
1270#551—434no—
1271#551—434no—
1272#551C2×D4314yescomplemented
1273D4×Q8—432no—
1274D4×Q8—432no—
1275D4×Q8—432no—
1276D4×Q8—434no—
1277D4×Q8—432no—
1278D4×Q8—434no—
1279D4×Q8—432no—
1280D4×Q8—432no—
1281#548—432no—
1282#548—434no—
1283#548—432no—
1284#548—434no—
1285#548—432no—
1286#548C2×D4312yescomplemented
1287#547—432no—
1288#547—432no—
1289#546—432no—
1290#546—434no—
1291#546C2×D4312yescomplemented
1292#544—432no—
1293#544—434no—
1294#544—432no—
1295#544—432no—
1296#544—434no—
1297#544—432no—
1298#543—432no—
1299#543—432no—
1300#543—432no—
1301#543—434no—
1302#543—432no—
1303#542—432no—
1304#542—434no—
1305#542—434no—
1306#542—434no—
1307#542—434no—
1308#542—434no—
1309#542—432no—
1310#542—432no—
1311#542—434no—
1312#542—432no—
1313#541—434no—
1314#541—434no—
1315#541—434no—
1316#541—434no—
1317#541—434no—
1318#541—434no—
1319#541—432no—
1320#541—434no—
1321#541—434no—
1322#541—432no—
1323#541—432no—
1324#541—434no—
1325#541—432no—
1326#541—434no—
1327#539—434no—
1328#539—434no—
1329#539—434no—
1330#539—434no—
1331#539—434no—
1332#539—432no—
1333#539—434no—
1334#539—434no—
1335#539—434no—
1336#539—434no—
1337#539C2×D4312yes—
1338#538—432no—
1339#538—434no—
1340#538C2×D4312yes—
1341#536—432no—
1342#536—432no—
1343#536—434no—
1344#534—432no—
1345#534C2×D4312yes—
1346#533—432no—
1347#533—432no—
1348#533—432no—
1349#533—432no—
1350#533—432no—
1351#533—432no—
1352#533—432no—
1353#533—432no—
1354#533—432no—
1355#533—434no—
1356#533—432no—
1357C2×C4⋊Q8—431no—
1358C2×C4⋊Q8—431no—
1359#529—434no—
1360#529—432no—
1361#529—432no—
1362#529—432no—
1363#529—432no—
1364#529—432no—
1365#529—432no—
1366#529—432no—
1367#529—432no—
1368#529—432no—
1369#529—434no—
1370#529—434no—
1371#529—432no—
1372#529—432no—
1373#529—432no—
1374#529—432no—
1375#529—432no—
1376#529—432no—
1377#529—432no—
1378#529—432no—
1379#529—434no—
1380#529—434no—
1381#529C2×D4312yes—
1382C2×#126—431no—
1383C2×#126—431no—
1384C2×#126—432no—
1385C2×#125—431no—
1386C2×#125—431no—
1387C2×#125—432no—
1388C2×#124—431no—
1389C2×#124—431no—
1390#525—432no—
1391#525—434no—
1392#525C2×D4312yes—
1393C2×#123—432no—
1394C2×#123—431no—
1395C2×#123—431no—
1396C2×C22⋊Q8—431no—
1397C2×C22⋊Q8—431no—
1398C2×C22⋊Q8—432no—
1399C2×C22⋊Q8—432no—
1400C2×C22⋊Q8—431no—
1401C2×C22⋊Q8—432no—
1402C2×C22⋊Q8—434no—
1403C2×C22⋊Q8C2×D4311yescharacteristic
1404C2×#121—431no—
1405C2×#121C2×D4311yescharacteristic
1406#520—432no—
1407#520—432no—
1408#520—434no—
1409#519—432no—
1410#519—432no—
1411#519—434no—
1412#518—432no—
1413#518—432no—
1414#518—432no—
1415#518C2×D4312yes—
1416C2×C4×Q8—431no—
1417C2×C4×Q8—431no—
1418C2×C4×Q8—431no—
1419C2×C4×Q8—432no—
1420C2×C4×Q8—431no—
1421C2×C4×D4—432no—
1422C2×C4×D4—431no—
1423C2×C4×D4—431no—
1424C2×C4×D4—431no—
1425C2×C4×D4C2×D4311yescharacteristic
1426C2×#117—431no—
1427C2×#117—432no—
1428C2×#117—432no—
1429C2×#117—431no—
1430C22×C42—431no—
1431C43#6282311yescharacteristic, complemented, Sylow
1432C2×#41—434no—
1433C2×#41—432no—
1434C2×#41C22×D4312yes—
1435C22×Q8—432no—
1436C22×Q8—431no—
1437C22×Q8—431no—
1438C22×Q8—432no—
1439C22×Q8—431no—
1440C22×Q8—434no—
1441C22×Q8—432no—
1442C22×Q8C22×D4311yescharacteristic
1443C22×D4—431no—
1444C22×D4—431no—
1445C22×D4C22×D4312yes—
1446C22×D4C22×D4311yescharacteristic
1447C22×D4C22×D4311yescharacteristic
1448C23×C4—431no—
1449C23×C4—432no—
1450C23×C4—431no—
1451C23×C4—431no—
1452C23×C4C22×D4311yescharacteristic
1453C23×C4C22×D4311yescharacteristic
1454C4⋊Q8—432no—
1455C4⋊Q8—432no—
1456C4⋊Q8—432no—
1457C4⋊Q8—432no—
1458C4⋊Q8—432no—
1459C4⋊Q8—434no—
1460C4⋊Q8—432no—
1461C4⋊Q8—432no—
1462C4⋊Q8—432no—
1463C4⋊Q8—432no—
1464C4⋊Q8—434no—
1465C4⋊Q8—434no—
1466C4⋊Q8—432no—
1467C4⋊Q8—434no—
1468C4⋊Q8—434no—
1469C4⋊Q8—434no—
1470C4⋊Q8—434no—
1471C4⋊Q8—434no—
1472C4⋊Q8—432no—
1473C4⋊Q8—432no—
1474C4⋊Q8—434no—
1475C4⋊Q8—434no—
1476#126—432no—
1477#126—432no—
1478#126—432no—
1479#126—432no—
1480#126—434no—
1481#126—434no—
1482#126—434no—
1483#126—434no—
1484#126—434no—
1485#126—432no—
1486#126—434no—
1487#126—432no—
1488#126—434no—
1489#126—432no—
1490#126—434no—
1491#126—432no—
1492#126—434no—
1493#126—434no—
1494#126—434no—
1495#126—434no—
1496#126—434no—
1497#126—434no—
1498#126—434no—
1499#126—434no—
1500#126—434no—
1501#126—434no—
1502#126—434no—
1503#126—434no—
1504#126—434no—
1505#126—434no—
1506#126—434no—
1507#126—434no—
1508#126—434no—
1509#126—434no—
1510#126—434no—
1511#126—434no—
1512#126—434no—
1513#126C22×D4314yes—
1514#126C22×D4314yes—
1515#126C22×D4314yes—
1516#125—432no—
1517#125—432no—
1518#125—432no—
1519#125—432no—
1520#125—432no—
1521#125—432no—
1522#125—432no—
1523#125—432no—
1524#125—434no—
1525#125—434no—
1526#125—434no—
1527#125—434no—
1528#125—434no—
1529#125—434no—
1530#125—434no—
1531#125—434no—
1532#125—434no—
1533#125—432no—
1534#125—434no—
1535#125—434no—
1536#125—434no—
1537#125—434no—
1538#125—434no—
1539#125—434no—
1540#125—434no—
1541#125—434no—
1542#125—434no—
1543#125—434no—
1544#125—434no—
1545#125—434no—
1546#125—434no—
1547#125—434no—
1548#125—434no—
1549#125—434no—
1550#125—434no—
1551#125—434no—
1552#125—434no—
1553#125—434no—
1554#125—434no—
1555#125—434no—
1556#125—434no—
1557#125C22×D4312yes—
1558#125C22×D4314yes—
1559#124—432no—
1560#124—432no—
1561#124—432no—
1562#124—432no—
1563#124—432no—
1564#124—434no—
1565#124—434no—
1566#124—434no—
1567#124—432no—
1568#124—432no—
1569#124—432no—
1570#124—432no—
1571#124—434no—
1572#124—434no—
1573#124—434no—
1574#124—434no—
1575#124—434no—
1576#124C22×D4312yes—
1577#124C22×D4314yes—
1578#123—434no—
1579#123—432no—
1580#123—434no—
1581#123—432no—
1582#123—434no—
1583#123—432no—
1584#123—434no—
1585#123—432no—
1586#123—434no—
1587#123—434no—
1588#123—434no—
1589#123—434no—
1590#123—434no—
1591#123—434no—
1592#123—434no—
1593#123—434no—
1594#123—434no—
1595#123—434no—
1596#123—434no—
1597#123—432no—
1598#123—432no—
1599#123—432no—
1600#123—432no—
1601#123—434no—
1602#123—434no—
1603#123—434no—
1604#123—434no—
1605#123—434no—
1606#123—434no—
1607#123—434no—
1608#123—434no—
1609#123C22×D4314yes—
1610#123C22×D4314yes—
1611#123C22×D4314yes—
1612#123C22×D4314yes—
1613#123C22×D4314yes—
1614C22⋊Q8—432no—
1615C22⋊Q8—434no—
1616C22⋊Q8—432no—
1617C22⋊Q8—432no—
1618C22⋊Q8—432no—
1619C22⋊Q8—432no—
1620C22⋊Q8—432no—
1621C22⋊Q8—432no—
1622C22⋊Q8—432no—
1623C22⋊Q8—432no—
1624C22⋊Q8—434no—
1625C22⋊Q8—432no—
1626C22⋊Q8—432no—
1627C22⋊Q8—434no—
1628C22⋊Q8—434no—
1629C22⋊Q8—434no—
1630C22⋊Q8—434no—
1631C22⋊Q8—434no—
1632C22⋊Q8—434no—
1633C22⋊Q8—434no—
1634C22⋊Q8—434no—
1635C22⋊Q8—434no—
1636C22⋊Q8—434no—
1637C22⋊Q8—434no—
1638C22⋊Q8—432no—
1639C22⋊Q8—432no—
1640C22⋊Q8—434no—
1641C22⋊Q8—434no—
1642C22⋊Q8—434no—
1643C22⋊Q8—434no—
1644C22⋊Q8—434no—
1645C22⋊Q8—434no—
1646C22⋊Q8—432no—
1647C22⋊Q8—434no—
1648C22⋊Q8—432no—
1649C22⋊Q8—432no—
1650C22⋊Q8—432no—
1651C22⋊Q8—434no—
1652C22⋊Q8—434no—
1653C22⋊Q8—434no—
1654C22⋊Q8—434no—
1655C22⋊Q8—434no—
1656C22⋊Q8—434no—
1657C22⋊Q8—434no—
1658C22⋊Q8—434no—
1659C22⋊Q8—434no—
1660C22⋊Q8—434no—
1661C22⋊Q8—434no—
1662C22⋊Q8—434no—
1663C22⋊Q8—434no—
1664C22⋊Q8—434no—
1665C22⋊Q8—434no—
1666C22⋊Q8—434no—
1667C22⋊Q8—434no—
1668C22⋊Q8—434no—
1669C22⋊Q8—434no—
1670C22⋊Q8—434no—
1671C22⋊Q8—434no—
1672C22⋊Q8—434no—
1673C22⋊Q8—434no—
1674C22⋊Q8—434no—
1675C22⋊Q8—434no—
1676C22⋊Q8—434no—
1677C22⋊Q8—434no—
1678C22⋊Q8—434no—
1679C22⋊Q8—434no—
1680C22⋊Q8—434no—
1681C22⋊Q8C22×D4312yes—
1682C22⋊Q8C22×D4312yes—
1683C22⋊Q8C22×D4312yes—
1684C22⋊Q8C22×D4312yes—
1685C22⋊Q8C22×D4312yes—
1686C22⋊Q8C22×D4314yes—
1687#121—432no—
1688#121—432no—
1689#121—432no—
1690#121—432no—
1691#121—432no—
1692#121—434no—
1693#121—434no—
1694#121—434no—
1695#121—434no—
1696#121—434no—
1697#121—434no—
1698#121C22×D4312yes—
1699#121C22×D4312yes—
1700#121C22×D4312yes—
1701#121C22×D4312yes—
1702#121C22×D4312yes—
1703#121C22×D4314yes—
1704#121C22×D4314yes—
1705#121C22×D4314yes—
1706#120—434no—
1707#120—434no—
1708#120C22×D4314yes—
1709#120C22×D4314yes—
1710C4×Q8—432no—
1711C4×Q8—432no—
1712C4×Q8—432no—
1713C4×Q8—432no—
1714C4×Q8—432no—
1715C4×Q8—432no—
1716C4×Q8—434no—
1717C4×Q8—432no—
1718C4×Q8—432no—
1719C4×Q8—432no—
1720C4×Q8—432no—
1721C4×Q8—432no—
1722C4×Q8—434no—
1723C4×Q8—434no—
1724C4×Q8—432no—
1725C4×Q8—432no—
1726C4×Q8—434no—
1727C4×Q8—434no—
1728C4×Q8—432no—
1729C4×Q8—434no—
1730C4×Q8—434no—
1731C4×Q8—434no—
1732C4×Q8—432no—
1733C4×Q8—432no—
1734C4×Q8—432no—
1735C4×Q8—432no—
1736C4×Q8—432no—
1737C4×Q8—434no—
1738C4×Q8—434no—
1739C4×Q8—434no—
1740C4×Q8—434no—
1741C4×Q8—434no—
1742C4×Q8—434no—
1743C4×Q8—432no—
1744C4×Q8—434no—
1745C4×Q8—432no—
1746C4×Q8C22×D4312yes—
1747C4×D4—432no—
1748C4×D4—432no—
1749C4×D4—434no—
1750C4×D4—432no—
1751C4×D4—432no—
1752C4×D4—434no—
1753C4×D4—434no—
1754C4×D4—434no—
1755C4×D4—434no—
1756C4×D4—434no—
1757C4×D4—434no—
1758C4×D4—434no—
1759C4×D4—434no—
1760C4×D4—434no—
1761C4×D4—434no—
1762C4×D4—434no—
1763C4×D4—434no—
1764C4×D4—432no—
1765C4×D4—434no—
1766C4×D4—434no—
1767C4×D4—432no—
1768C4×D4—432no—
1769C4×D4—432no—
1770C4×D4—432no—
1771C4×D4—432no—
1772C4×D4—432no—
1773C4×D4—432no—
1774C4×D4—432no—
1775C4×D4—434no—
1776C4×D4—434no—
1777C4×D4—434no—
1778C4×D4—434no—
1779C4×D4—434no—
1780C4×D4—434no—
1781C4×D4—434no—
1782C4×D4—434no—
1783C4×D4—434no—
1784C4×D4C22×D4312yes—
1785C4×D4C22×D4312yes—
1786C4×D4C22×D4312yes—
1787C4×D4C22×D4312yes—
1788C4×D4C22×D4314yes—
1789C4×D4C22×D4314yes—
1790C4×D4C22×D4314yes—
1791C4×D4C22×D4314yes—
1792C4×D4C22×D4314yes—
1793C4×D4C22×D4312yes—
1794#117—432no—
1795#117—432no—
1796#117—432no—
1797#117—432no—
1798#117—434no—
1799#117—434no—
1800#117—434no—
1801#117—434no—
1802#117—432no—
1803#117—434no—
1804#117—434no—
1805#117—434no—
1806#117—434no—
1807#117—434no—
1808#117—434no—
1809#117—434no—
1810#117—434no—
1811#117—434no—
1812#117—434no—
1813#117—434no—
1814#117—434no—
1815#117—434no—
1816#117—434no—
1817#117—434no—
1818#117—434no—
1819#117—434no—
1820#117—432no—
1821#117—432no—
1822#117—432no—
1823#117—432no—
1824#117—434no—
1825#117—434no—
1826#117C22×D4314yes—
1827#117C22×D4312yes—
1828#117C22×D4314yes—
1829C2×C4⋊C4—431no—
1830C2×C4⋊C4—432no—
1831C2×C4⋊C4—431no—
1832C2×C4⋊C4—432no—
1833C2×C4⋊C4—431no—
1834C2×C4⋊C4—431no—
1835C2×C4⋊C4—432no—
1836C2×C4⋊C4—432no—
1837C2×C4⋊C4—431no—
1838C2×C4⋊C4—431no—
1839C2×C4⋊C4—431no—
1840C2×C4⋊C4—432no—
1841C2×C4⋊C4—431no—
1842C2×C4⋊C4—432no—
1843C2×C4⋊C4—432no—
1844C2×C4⋊C4—432no—
1845C2×C4⋊C4—432no—
1846C2×C4⋊C4—431no—
1847C2×C4⋊C4—432no—
1848C2×C4⋊C4—431no—
1849C2×C4⋊C4—431no—
1850C2×C4⋊C4—434no—
1851C2×C4⋊C4—434no—
1852C2×C4⋊C4—434no—
1853C2×C4⋊C4—434no—
1854C2×C4⋊C4—432no—
1855C2×C4⋊C4—434no—
1856C2×C4⋊C4—432no—
1857C2×C4⋊C4C22×D4311yescharacteristic
1858C2×C4⋊C4C22×D4311yescharacteristic
1859C2×C4⋊C4C22×D4312yes—
1860C2×C4⋊C4C22×D4311yescharacteristic
1861C2×C22⋊C4—432no—
1862C2×C22⋊C4—431no—
1863C2×C22⋊C4—431no—
1864C2×C22⋊C4—432no—
1865C2×C22⋊C4—432no—
1866C2×C22⋊C4—431no—
1867C2×C22⋊C4—431no—
1868C2×C22⋊C4—432no—
1869C2×C22⋊C4—432no—
1870C2×C22⋊C4—434no—
1871C2×C22⋊C4—434no—
1872C2×C22⋊C4—431no—
1873C2×C22⋊C4—431no—
1874C2×C22⋊C4—431no—
1875C2×C22⋊C4—431no—
1876C2×C22⋊C4—434no—
1877C2×C22⋊C4C22×D4312yes—
1878C2×C22⋊C4C22×D4312yes—
1879C2×C22⋊C4C22×D4311yescharacteristic
1880C2×C22⋊C4C22×D4311yescharacteristic
1881C2×C22⋊C4C22×D4314yes—
1882C2×C42—431no—
1883C2×C42—431no—
1884C2×C42—432no—
1885C2×C42—431no—
1886C2×C42—432no—
1887C2×C42—432no—
1888C2×C42—431no—
1889C2×C42—431no—
1890C2×C42—431no—
1891C2×C42—431no—
1892C2×C42—431no—
1893C2×C42—431no—
1894C2×C42—431no—
1895C2×C42—431no—
1896C2×C42—431no—
1897C2×C42—431no—
1898C2×C42C22×D4311yescharacteristic
1899C24—431no—
1900C24C23×D4311yescharacteristic
1901C24C23×D4312yes—
1902C24C23×D4311yescharacteristic
1903#41—44no—
1904#41—1724no—
1905#41—1728no—
1906C2×Q8—42no—
1907C2×Q8—432no—
1908C2×Q8—432no—
1909C2×Q8—434no—
1910C2×Q8—432no—
1911C2×Q8—434no—
1912C2×Q8—434no—
1913C2×Q8—434no—
1914C2×Q8—434no—
1915C2×Q8—432no—
1916C2×Q8—434no—
1917C2×Q8—432no—
1918C2×Q8—432no—
1919C2×Q8—1722no—
1920C2×Q8—1722no—
1921C2×Q8—1724no—
1922C2×Q8—1722no—
1923C2×Q8—1724no—
1924C2×Q8—1728no—
1925C2×Q8—1724no—
1926C2×Q8C23×D4312yes—
1927C2×Q8C23×D4312yes—
1928C2×D4—28no—
1929C2×D4—24no—
1930C2×D4—42no—
1931C2×D4—432no—
1932C2×D4—432no—
1933C2×D4—432no—
1934C2×D4—434no—
1935C2×D4—434no—
1936C2×D4—432no—
1937C2×D4—864no—
1938C2×D4—1722no—
1939C2×D4C23×D4314yes—
1940C2×D4C23×D4312yes—
1941C2×D4C23×D4314yes—
1942C2×D4C23×D4312yes—
1943C2×D4C23×D4312yes—
1944C2×D4C23×D4314yes—
1945C2×D4C23×D4312yes—
1946C2×D4C23×D4314yes—
1947C22×C4—42no—
1948C22×C4—42no—
1949C22×C4—431no—
1950C22×C4—431no—
1951C22×C4—431no—
1952C22×C4—431no—
1953C22×C4—431no—
1954C22×C4—431no—
1955C22×C4—431no—
1956C22×C4—431no—
1957C22×C4—431no—
1958C22×C4—431no—
1959C22×C4—434no—
1960C22×C4—431no—
1961C22×C4—431no—
1962C22×C4—431no—
1963C22×C4—431no—
1964C22×C4—432no—
1965C22×C4—432no—
1966C22×C4—432no—
1967C22×C4—431no—
1968C22×C4—432no—
1969C22×C4—434no—
1970C22×C4—434no—
1971C22×C4—434no—
1972C22×C4—434no—
1973C22×C4—434no—
1974C22×C4—432no—
1975C22×C4—434no—
1976C22×C4—434no—
1977C22×C4—432no—
1978C22×C4—864no—
1979C22×C4—1722no—
1980C22×C4—1722no—
1981C22×C4—1724no—
1982C22×C4C23×D4311yescharacteristic
1983C22×C4C23×D4311yescharacteristic
1984C22×C4C23×D4311yescharacteristic
1985C22×C4C23×D4312yes—
1986C22×C4C23×D4311yescharacteristic
1987C22×C4C23×D4312yes—
1988C22×C4C23×D4311yescharacteristic
1989C22×C4C23×D4311yescharacteristic
1990C22×C4C23×D4311yescharacteristic
1991C22×C4C23×D4312yes—
1992C22×C4C23×D4312yes—
1993C22×C4C23×D4311yescharacteristic
1994C22×C4C23×D4311yescharacteristic
1995C22×C4C23×D4314yes—
1996C22×C4C23×D4314yes—
1997C22×C4C23×D4312yes—
1998C4⋊C4—432no—
1999C4⋊C4—434no—
2000C4⋊C4—432no—
2001C4⋊C4—432no—
2002C4⋊C4—432no—
2003C4⋊C4—434no—
2004C4⋊C4—432no—
2005C4⋊C4—434no—
2006C4⋊C4—434no—
2007C4⋊C4—434no—
2008C4⋊C4—434no—
2009C4⋊C4—434no—
2010C4⋊C4—434no—
2011C4⋊C4—434no—
2012C4⋊C4—434no—
2013C4⋊C4—432no—
2014C4⋊C4—432no—
2015C4⋊C4—432no—
2016C4⋊C4—432no—
2017C4⋊C4—434no—
2018C4⋊C4—432no—
2019C4⋊C4—434no—
2020C4⋊C4—432no—
2021C4⋊C4—432no—
2022C4⋊C4—434no—
2023C4⋊C4—432no—
2024C4⋊C4—432no—
2025C4⋊C4—434no—
2026C4⋊C4—434no—
2027C4⋊C4—434no—
2028C4⋊C4—434no—
2029C4⋊C4—432no—
2030C4⋊C4—432no—
2031C4⋊C4—432no—
2032C4⋊C4—434no—
2033C4⋊C4—432no—
2034C4⋊C4—434no—
2035C4⋊C4—434no—
2036C4⋊C4—434no—
2037C4⋊C4—434no—
2038C4⋊C4—434no—
2039C4⋊C4—432no—
2040C4⋊C4—434no—
2041C4⋊C4—434no—
2042C4⋊C4—434no—
2043C4⋊C4—434no—
2044C4⋊C4—432no—
2045C4⋊C4—434no—
2046C4⋊C4—432no—
2047C4⋊C4—432no—
2048C4⋊C4—434no—
2049C4⋊C4—434no—
2050C4⋊C4—434no—
2051C4⋊C4—434no—
2052C4⋊C4—434no—
2053C4⋊C4—434no—
2054C4⋊C4—434no—
2055C4⋊C4—434no—
2056C4⋊C4—434no—
2057C4⋊C4—434no—
2058C4⋊C4—434no—
2059C4⋊C4—434no—
2060C4⋊C4C23×D4312yes—
2061C4⋊C4C23×D4314yes—
2062C4⋊C4C23×D4312yes—
2063C4⋊C4C23×D4312yes—
2064C4⋊C4C23×D4312yes—
2065C4⋊C4C23×D4312yes—
2066C4⋊C4C23×D4314yes—
2067C4⋊C4C23×D4312yes—
2068C4⋊C4C23×D4314yes—
2069C4⋊C4C23×D4314yes—
2070C4⋊C4C23×D4314yes—
2071C4⋊C4C23×D4314yes—
2072C22⋊C4—434no—
2073C22⋊C4—432no—
2074C22⋊C4—434no—
2075C22⋊C4—434no—
2076C22⋊C4—432no—
2077C22⋊C4—432no—
2078C22⋊C4—434no—
2079C22⋊C4—434no—
2080C22⋊C4—432no—
2081C22⋊C4—432no—
2082C22⋊C4—432no—
2083C22⋊C4—434no—
2084C22⋊C4—434no—
2085C22⋊C4—432no—
2086C22⋊C4—434no—
2087C22⋊C4—434no—
2088C22⋊C4—434no—
2089C22⋊C4—434no—
2090C22⋊C4—434no—
2091C22⋊C4—434no—
2092C22⋊C4—434no—
2093C22⋊C4—432no—
2094C22⋊C4—434no—
2095C22⋊C4—434no—
2096C22⋊C4—432no—
2097C22⋊C4—432no—
2098C22⋊C4—432no—
2099C22⋊C4—432no—
2100C22⋊C4—432no—
2101C22⋊C4—432no—
2102C22⋊C4—434no—
2103C22⋊C4—434no—
2104C22⋊C4—432no—
2105C22⋊C4—432no—
2106C22⋊C4—434no—
2107C22⋊C4—434no—
2108C22⋊C4C23×D4314yes—
2109C22⋊C4C23×D4312yes—
2110C22⋊C4C23×D4314yes—
2111C22⋊C4C23×D4314yes—
2112C22⋊C4C23×D4314yes—
2113C22⋊C4C23×D4312yes—
2114C22⋊C4C23×D4312yes—
2115C22⋊C4C23×D4314yes—
2116C22⋊C4C23×D4314yes—
2117C22⋊C4C23×D4312yes—
2118C22⋊C4C23×D4314yes—
2119C22⋊C4C23×D4314yes—
2120C22⋊C4C23×D4314yes—
2121C22⋊C4C23×D4314yes—
2122C42—431no—
2123C42—431no—
2124C42—431no—
2125C42—431no—
2126C42—431no—
2127C42—431no—
2128C42—431no—
2129C42—431no—
2130C42—431no—
2131C42—431no—
2132C42—431no—
2133C42—431no—
2134C42—431no—
2135C42—431no—
2136C42—431no—
2137C42—431no—
2138C42—434no—
2139C42—432no—
2140C42—434no—
2141C42—434no—
2142C42—434no—
2143C42—434no—
2144C42—434no—
2145C42—432no—
2146C42—434no—
2147C42—434no—
2148C42—434no—
2149C42—434no—
2150C42—434no—
2151C42—434no—
2152C42C23×D4312yes—
2153C42C23×D4312yes—
2154C42C23×D4314yes—
2155C42C23×D4314yes—
2156C23—24no—
2157C23—22no—
2158C23—41no—
2159C23—41no—
2160C23—41no—
2161C23—42no—
2162C23—42no—
2163C23—41no—
2164C23—432no—
2165C23—862no—
2166C23—1721no—
2167C23—1721no—
2168C23#1306337214yes—
2169C23C24×D4314yes—
2170C23C24×D4312yes—
2171C23C24×D4311yescharacteristic
2172C23C24×D4311yescharacteristic
2173C23C24×D4311yescharacteristic
2174Q8—24no—
2175Q8—42no—
2176Q8—864no—
2177Q8—868no—
2178Q8—864no—
2179Q8—864no—
2180Q8—1724no—
2181Q8—1722no—
2182Q8—1724no—
2183Q8—1724no—
2184Q8—1724no—
2185Q8—1722no—
2186Q8—1722no—
2187Q8—1724no—
2188D4—24no—
2189D4—28no—
2190D4—28no—
2191D4—24no—
2192D4—24no—
2193D4—42no—
2194D4—44no—
2195D4—44no—
2196D4—864no—
2197D4—864no—
2198D4—864no—
2199D4—1722no—
2200D4—1724no—
2201D4—1724no—
2202C2×C4—24no—
2203C2×C4—22no—
2204C2×C4—22no—
2205C2×C4—22no—
2206C2×C4—22no—
2207C2×C4—24no—
2208C2×C4—42no—
2209C2×C4—41no—
2210C2×C4—41no—
2211C2×C4—41no—
2212C2×C4—41no—
2213C2×C4—42no—
2214C2×C4—41no—
2215C2×C4—44no—
2216C2×C4—42no—
2217C2×C4—44no—
2218C2×C4—431no—
2219C2×C4—431no—
2220C2×C4—431no—
2221C2×C4—431no—
2222C2×C4—432no—
2223C2×C4—431no—
2224C2×C4—431no—
2225C2×C4—431no—
2226C2×C4—432no—
2227C2×C4—434no—
2228C2×C4—434no—
2229C2×C4—434no—
2230C2×C4—431no—
2231C2×C4—434no—
2232C2×C4—432no—
2233C2×C4—862no—
2234C2×C4—862no—
2235C2×C4—862no—
2236C2×C4—868no—
2237C2×C4—862no—
2238C2×C4—862no—
2239C2×C4—862no—
2240C2×C4—862no—
2241C2×C4—862no—
2242C2×C4—862no—
2243C2×C4—862no—
2244C2×C4—864no—
2245C2×C4—1722no—
2246C2×C4—1724no—
2247C2×C4—1724no—
2248C2×C4—1724no—
2249C2×C4—1721no—
2250C2×C4—1721no—
2251C2×C4—1722no—
2252C2×C4—1721no—
2253C2×C4—1721no—
2254C2×C4—1722no—
2255C2×C4—1724no—
2256C2×C4—1721no—
2257C2×C4—1722no—
2258C2×C4—1724no—
2259C2×C4—1722no—
2260C2×C4—1724no—
2261C2×C4—1724no—
2262C2×C4C24×D4311yescharacteristic
2263C2×C4C24×D4314yes—
2264C2×C4C24×D4312yes—
2265C2×C4C24×D4311yescharacteristic
2266C2×C4C24×D4311yescharacteristic
2267C2×C4C24×D4314yes—
2268C2×C4C24×D4314yes—
2269C2×C4C24×D4312yes—
2270C2×C4C24×D4312yes—
2271C2×C4C24×D4311yescharacteristic
2272C22—21no—
2273C22—21no—
2274C22—21no—
2275C22—21no—
2276C22—21no—
2277C22—21no—
2278C22—24no—
2279C22—22no—
2280C22—24no—
2281C22—22no—
2282C22—22no—
2283C22—24no—
2284C22—44no—
2285C22—84no—
2286C22—82no—
2287C22—862no—
2288C22—862no—
2289C22—862no—
2290C22—3442no—
2291C22C2×#1306337212yes—
2292C22C2×#1306337212yes—
2293C22C2×#1306337212yes—
2294C22C25×D4311yescharacteristic
2295C4—24no—
2296C4—22no—
2297C4—22no—
2298C4—24no—
2299C4—21no—
2300C4—22no—
2301C4—21no—
2302C4—21no—
2303C4—24no—
2304C4—432no—
2305C4—861no—
2306C4—861no—
2307C4—861no—
2308C4—861no—
2309C4—862no—
2310C4—861no—
2311C4—864no—
2312C4—861no—
2313C4—861no—
2314C4—864no—
2315C4—862no—
2316C4—862no—
2317C4—864no—
2318C4—864no—
2319C4#1458373412yes—
2320C2—22no—
2321C2—22no—
2322C2—22no—
2323C2—44no—
2324C2—42no—
2325C2—1722no—
2326C2C22×#1306337211yescharacteristic
2327C2#585×D4311yescharacteristic
2328C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3505C2
hypercenter#3505D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3505

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19149224C2semidirect
2. #19149221C2semidirect
3. #19149211C2semidirect
4. #19149203C2semidirect
5. #19149196C2semidirect
6. #19149155C2semidirect
7. #19149154C2semidirect
8. #19149043C2semidirect
9. #19149034C2semidirect
10. #19149026C2semidirect
11. #19148689C2semidirect
12. #19148684C2semidirect
13. #19148632C2semidirect
14. #19148631C2semidirect
15. #19148579C2semidirect
16. #19148579C2semidirect
17. #19148577C2semidirect
18. #19148432C2semidirect
19. #19148429C2semidirect
20. #19148398C2semidirect
21. #19148393C2semidirect
22. #19148391C2semidirect
23. #19148349C2semidirect
24. #19148335C2semidirect
25. #19148334C2semidirect
26. #19148292C2semidirect
27. #19148288C2semidirect
28. C2×#14583451C2semidirect
29. C2×#14583430C2semidirect
30. C2×#14583429C2semidirect
31. C43×#3505C2semidirect
32. C43⋊#564C22semidirect
33. #14583652C22semidirect
34. #14583652C22semidirect
35. #14583651C22semidirect
36. #14583651C22semidirect
37. #14583650C22semidirect
38. #14583649C22semidirect
39. #14583644C22semidirect
40. #14583628C22semidirect
41. #14583627C22semidirect
42. #14583626C22semidirect
43. #14583626C22semidirect
44. #14583626C22semidirect
45. #14583619C22semidirect
46. #14583619C22semidirect
47. #14583618C22semidirect
48. #14583618C22semidirect
49. #14583618C22semidirect
50. #14583617C22semidirect
51. #14583616C22semidirect
52. #14583616C22semidirect
53. #14583616C22semidirect
54. #14583608C22semidirect
55. #14583608C22semidirect
56. #14583608C22semidirect
57. #14583608C22semidirect
58. #14583608C22semidirect
59. #14583608C22semidirect
60. #14583607C22semidirect
61. #14583606C22semidirect
62. #14583606C22semidirect
63. #14583606C22semidirect
64. #14583606C22semidirect
65. #14583604C22semidirect
66. #14583604C22semidirect
67. #14583603C22semidirect
68. #14583601C22semidirect
69. #14583601C22semidirect
70. #14583592C22semidirect
71. #14583592C22semidirect
72. #14583592C22semidirect
73. #14583591C22semidirect
74. #14583591C22semidirect
75. #14583589C22semidirect
76. #14583589C22semidirect
77. #14583589C22semidirect
78. #14583588C22semidirect
79. #14583588C22semidirect
80. #14583586C22semidirect
81. #14583586C22semidirect
82. #14583586C22semidirect
83. #14583586C22semidirect
84. #14583586C22semidirect
85. #14583586C22semidirect
86. #14583586C22semidirect
87. #14583586C22semidirect
88. #14583586C22semidirect
89. #14583585C22semidirect
90. #14583584C22semidirect
91. #14583582C22semidirect
92. #14583582C22semidirect
93. #14583582C22semidirect
94. #14583580C22semidirect
95. #14583580C22semidirect
96. #14583580C22semidirect
97. #14583580C22semidirect
98. #14583580C22semidirect
99. #14583578C22semidirect
100. #14583578C22semidirect
101. #14583575C22semidirect
102. #14583575C22semidirect
103. #14583575C22semidirect
104. #14583572C22semidirect
105. D4×Dic86C22semidirect
106. D4×Dic86C22semidirect
107. D4×Dic86C22semidirect
108. D4×Dic86C22semidirect
109. D4×Dic86C22semidirect
110. Q8×C22⋊D43C22semidirect
111. #14583562C22semidirect
112. #14583562C22semidirect
113. #14583556C22semidirect
114. #14583555C22semidirect
115. #14583555C22semidirect
116. #14583555C22semidirect
117. #14583555C22semidirect
118. #14583549C22semidirect
119. #14583548C22semidirect
120. #14583543C22semidirect
121. #14583536C22semidirect
122. #14583530C22semidirect
123. #14583529C22semidirect
124. #14583528C22semidirect
125. #14583528C22semidirect
126. #14583527C22semidirect
127. #14583527C22semidirect
130. #14583525C22semidirect
131. #14583525C22semidirect
132. #14583524C22semidirect
133. #14583518C22semidirect
134. #14583518C22semidirect
135. #14583517C22semidirect
136. #14583517C22semidirect
137. #14583517C22semidirect
138. #14583516C22semidirect
139. #14583516C22semidirect
140. #14583516C22semidirect
141. #14583514C22semidirect
142. #14583513C22semidirect
143. #14583512C22semidirect
144. #14583512C22semidirect
145. #14583511C22semidirect
146. #14583509C22semidirect
147. #14583509C22semidirect
148. #14583509C22semidirect
149. #14583508C22semidirect
150. #14583507C22semidirect
151. #14583506C22semidirect
152. #14583506C22semidirect
153. #14583506C22semidirect
154. #14583506C22semidirect
155. #14583506C22semidirect
156. #14583506C22semidirect
158. #14583494C22semidirect
159. #14583494C22semidirect
160. #14583494C22semidirect
162. #14583493C22semidirect
163. #14583492C22semidirect
164. #14583491C22semidirect
165. #14583491C22semidirect
166. #14583491C22semidirect
169. #14583471C22semidirect
170. #14583470C22semidirect
171. #14583469C22semidirect
173. #14583456C22semidirect
174. #14583452C22semidirect
175. #14583451C22semidirect
176. #14583451C22semidirect
177. #14583451C22semidirect
178. #14583451C22semidirect
179. #14583451C22semidirect
180. #14583451C22semidirect
181. #14583451C22semidirect
182. #14583451C22semidirect
183. #14583451C22semidirect
184. C2×#13063324C22semidirect
185. C2×#13063323C22semidirect
191. #14583430C22semidirect
192. #14583430C22semidirect
193. #14583430C22semidirect
194. #14583430C22semidirect
195. #14583430C22semidirect
196. #14583430C22semidirect
201. #14583429C22semidirect
202. #14583429C22semidirect
203. #14583429C22semidirect
204. #14583429C22semidirect
205. #14583429C22semidirect
206. #14583429C22semidirect
208. C2×#13063320C22semidirect
209. C2×#13063318C22semidirect
210. C2×#13063318C22semidirect
211. C2×#13063316C22semidirect
212. C2×#13063315C22semidirect
213. C2×#13063315C22semidirect
214. C2×#13063312C22semidirect
215. C2×#13063311C22semidirect
223. C2×#13063304C22semidirect
226. C2×#13063302C22semidirect
227. C22⋊Q8×D43C22semidirect
229. #14583382C22semidirect
230. #14583378C22semidirect
231. #14583378C22semidirect
232. #14583376C22semidirect
233. #14583376C22semidirect
234. #14583375C22semidirect
238. C2×Q8×Dic43C22semidirect
239. C2×C4×Dic86C22semidirect
240. C2×#13063290C22semidirect
241. C2×#13063290C22semidirect
242. C2×#13063290C22semidirect
244. C2×D4×Dic43C22semidirect
246. C2×C4×C22⋊D43C22semidirect
247. C2×#13063284C22semidirect
248. C2×#13063282C22semidirect
250. C2×#13063281C22semidirect
252. C43×#553C22semidirect
253. C43×#553C22semidirect
254. C43×#552C22semidirect
255. C43×#551C22semidirect
256. C43×#548C22semidirect
257. C43×#546C22semidirect
1175. #3505D43semidirect
1237. #553C2×D43semidirect
1238. #553C2×D43semidirect
1260. #552C2×D43semidirect
1272. #551C2×D43semidirect
1286. #548C2×D43semidirect
1291. #546C2×D43semidirect
1431. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492242
#191492212
#191492112
#191492032
#191491962
#191491552
#191491542
#191490432
#191490342
#191490262
#191486892
#191486842
#191486322
#191486312
#191485792
#191485772
#191484322
#191484292
#191483982
#191483932
#191483912
#191483492
#191483352
#191483342
#191482922
#191482882
C2×#145834512
C2×#145834302
C2×#145834292
C43×#35052
#6282343