Finite Group Databasebeta

← #26005455

Subgroups — #26005455

Order 11008.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149227C214yesmaximal, complemented
2#19149220C214yesmaximal, complemented
3#19149096C212yesmaximal, complemented
4#19149092C212yesmaximal, complemented
5#19149086C211yesmaximal, characteristic, complemented
6#19149084C211yesmaximal, characteristic, complemented
7#19149062C211yesmaximal, characteristic, complemented
8#19149054C211yesmaximal, characteristic, complemented
9#19149026C212yesmaximal, complemented
10#19148931C212yesmaximal, complemented
11#19148796C214yesmaximal, complemented
12#19148691C211yesmaximal, characteristic, complemented
13#19148689C211yesmaximal, characteristic, complemented
14#19148672C211yesmaximal, characteristic, complemented
15#19148637C212yesmaximal, complemented
16#19148635C212yesmaximal, complemented
17#19148608C212yesmaximal, complemented
18#19148563C212yesmaximal, complemented
19#19148560C214yesmaximal, complemented
20#19148488C212yesmaximal, complemented
21#19148457C212yesmaximal, complemented
22#19148452C211yesmaximal, characteristic, complemented
23#19148451C212yesmaximal, complemented
24#19148439C211yesmaximal, characteristic, complemented
25#19148415C212yesmaximal, complemented
26#19148404C211yesmaximal, characteristic, complemented
27#19148392C211yesmaximal, characteristic, complemented
28#19148348C212yesmaximal, complemented
29#19148345C212yesmaximal, complemented
30#19148335C212yesmaximal, complemented
31#19148325C212yesmaximal, complemented
32#19147890C211yesmaximal, characteristic, complemented
33C2×#14583453C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3522C211yesmaximal, characteristic, complemented
36#14583652C2214yescomplemented
37#14583650C2214yescomplemented
38#14583650C2214yescomplemented
39#14583650C2214yescomplemented
40#14583649C2214yescomplemented
41#14583648C2214yescomplemented
42#14583646C2214yescomplemented
43#14583644C2214yescomplemented
44#14583635C2211yescharacteristic, complemented
45#14583635C2212yescomplemented
46#14583635C2212yescomplemented
47#14583632C2212yescomplemented
48#14583632C2212yescomplemented
49#14583631C2212yescomplemented
50#14583629C2211yescharacteristic, complemented
51#14583629C2212yescomplemented
52#14583628C2211yescharacteristic, complemented
53#14583628C2211yescharacteristic, complemented
54#14583627C2211yescharacteristic, complemented
55#14583627C2212yescomplemented
56#14583627C2211yescharacteristic, complemented
57#14583627C2212yescomplemented
58#14583626C2212yescomplemented
59#14583626C2212yescomplemented
60#14583625C2212yescomplemented
61#14583624C2214yescomplemented
62#14583624C2212yescomplemented
63#14583624C2212yescomplemented
64#14583623C2212yescomplemented
65#14583622C2211yescharacteristic, complemented
66#14583622C2212yescomplemented
67#14583621C2212yescomplemented
68#14583620C2212yescomplemented
69#14583619C2211yescharacteristic, complemented
70#14583619C2212yescomplemented
71#14583619C2212yescomplemented
72#14583618C2212yescomplemented
73#14583618C2212yescomplemented
74#14583618C2214yescomplemented
75#14583618C2212yescomplemented
76#14583618C2214yescomplemented
77#14583617C2214yescomplemented
78#14583616C2214yescomplemented
79#14583616C2214yescomplemented
80#14583613C2212yescomplemented
81#14583611C2214yes—
82#14583610C2211yescharacteristic, complemented
83#14583608C2212yescomplemented
84#14583608C2214yescomplemented
85#14583608C2212yescomplemented
86#14583608C2212yescomplemented
87#14583607C2214yes—
88#14583607C2214yescomplemented
89#14583606C2212yescomplemented
90#14583606C2212yescomplemented
91#14583605C2212yescomplemented
92#14583604C2214yes—
93#14583604C2212yescomplemented
94#14583603C2214yes—
95#14583603C2214yes—
96#14583598C2214yes—
97#14583592C2214yes—
98#14583592C2214yescomplemented
99#14583590C2212yescomplemented
100#14583589C2214yescomplemented
101#14583589C2214yescomplemented
102#14583589C2214yescomplemented
103#14583589C2212yescomplemented
104#14583588C2214yes—
105#14583586C2214yescomplemented
106#14583586C2214yescomplemented
107#14583586C2214yescomplemented
108#14583586C2214yescomplemented
109#14583585C2214yes—
110#14583585C2214yescomplemented
111#14583584C2214yescomplemented
112#14583584C2214yescomplemented
113#14583584C2212yescomplemented
114#14583584C2212yescomplemented
115#14583583C2214yescomplemented
116#14583582C2214yescomplemented
117#14583582C2214yescomplemented
118#14583579C2214yes—
119#14583579C2214yes—
120#14583578C2214yes—
121#14583578C2214yes—
122#14583578C2214yes—
123#14583577C2214yes—
124#14583572C2214yes—
125#14583572C2214yes—
126#14583569C2211yescharacteristic, complemented
127Q8×D172C2211yescharacteristic, complemented
128D4×Dic86C2211yescharacteristic, complemented
129D4×Dic86C2212yescomplemented
130Q8×C22⋊D43C2212yescomplemented
131#14583562C2212yescomplemented
132#14583557C2212yescomplemented
133#14583555C2212yescomplemented
134#14583555C2212yescomplemented
135#14583553C2212yescomplemented
136#14583549C2212yescomplemented
137#14583548C2214yes—
138#14583548C2212yescomplemented
139#14583548C2214yescomplemented
140#14583548C2212yescomplemented
141#14583538C2214yes—
142#14583537C2214yes—
143#14583530C2212yescomplemented
144#14583529C2212yes—
145#14583528C2214yescomplemented
146#14583528C2214yescomplemented
147#14583526C2212yes—
148#14583526C2214yes—
149#14583526C2212yescomplemented
150#14583524C2214yes—
151#14583523C2212yes—
152#14583522C2214yescomplemented
153#14583519C2214yescomplemented
154#14583518C2212yescomplemented
155#14583517C2214yescomplemented
156#14583517C2214yescomplemented
157#14583516C2212yescomplemented
158#14583514C2212yes—
159#14583514C2212yescomplemented
160#14583514C2212yescomplemented
161#14583514C2212yescomplemented
162#14583513C2214yescomplemented
163#14583513C2214yescomplemented
164#14583513C2214yescomplemented
165#14583512C2212yescomplemented
166#14583511C2212yescomplemented
167#14583510C2214yescomplemented
168#14583509C2214yescomplemented
169#14583509C2212yescomplemented
170#14583507C2212yescomplemented
171#14583507C2212yescomplemented
172#14583507C2212yescomplemented
173#14583507C2214yescomplemented
174#14583506C2214yescomplemented
175#14583503C2212yes—
176#14583500C2212yes—
177#14583496C2214yescomplemented
178#14583495C2214yescomplemented
179#14583494C2214yescomplemented
180#14583494C2214yescomplemented
181#14583494C2214yescomplemented
182#14583493C2214yescomplemented
183#14583493C2214yescomplemented
184#14583493C2214yescomplemented
185#14583492C2214yes—
186#14583491C2214yescomplemented
187#14583491C2214yescomplemented
188#14583481C2214yes—
189#14583471C2214yescomplemented
190#14583470C2212yescomplemented
191#14583470C2214yescomplemented
192#14583469C2212yes—
193#14583469C2212yescomplemented
194#14583462C2212yes—
195#14583456C2212yescomplemented
196#14583456C2211yescharacteristic, complemented
197#14583454C2212yes—
198#14583454C2211yescharacteristic
199#14583454C2211yescharacteristic, complemented
200#14583453C2211yescharacteristic
201#14583453C2211yescharacteristic
202#14583453C2212yes—
203#14583453C2211yescharacteristic
204#14583453C2211yescharacteristic
205#14583453C2212yes—
206#14583453C2212yes—
207#14583453C2211yescharacteristic, complemented
208#14583453C2211yescharacteristic, complemented
209#14583453C2211yescharacteristic, complemented
210#14583453C2212yescomplemented
211#14583453C2211yescharacteristic, complemented
212#14583453C2212yescomplemented
213#14583451C2214yescomplemented
214#14583451C2212yescomplemented
215#14583447C2211yescharacteristic
216#14583447C2211yescharacteristic, complemented
217#14583444C2212yes—
218C2×#13063324C2211yescharacteristic, complemented
219C2×#13063323C2211yescharacteristic, complemented
220#14583436C2211yescharacteristic
221#14583435C2211yescharacteristic
222#14583434C2211yescharacteristic
223#14583433C2212yes—
224#14583433C2211yescharacteristic
225#14583432C2212yes—
226#14583431C2211yescharacteristic
227#14583431C2212yes—
228#14583431C2212yes—
229#14583431C2212yescomplemented
230#14583430C2212yes—
231#14583430C2211yescharacteristic
232#14583430C2212yescomplemented
233#14583430C2212yescomplemented
234#14583430C2212yescomplemented
235#14583429C2212yes—
236#14583429C2214yescomplemented
237#14583428C2211yescharacteristic
238#14583428C2212yes—
239#14583428C2212yes—
240#14583428C2212yescomplemented
241#14583427C2212yes—
242#14583426C2212yes—
243#14583426C2214yescomplemented
244#126×D43C2212yes—
245C2×#13063315C2212yescomplemented
246C2×#13063315C2214yescomplemented
247#125×D43C2211yescharacteristic
248#124×D43C2211yescharacteristic
249#14583409C2212yes—
250#14583409C2212yes—
251#14583409C2212yes—
252#14583406C2212yes—
253#14583406C2212yes—
254#123×D43C2212yes—
255C2×#13063305C2212yes—
256C2×#13063305C2211yescharacteristic
257C2×#13063303C2212yes—
258C2×#13063301C2211yescharacteristic
259C22⋊Q8×D43C2211yescharacteristic
260C22⋊Q8×D43C2212yes—
261#121×D43C2211yescharacteristic
262#14583382C2214yescomplemented
263#14583378C2212yes—
264#14583378C2212yes—
265#14583378C2214yescomplemented
266#14583378C2212yescomplemented
267#14583376C2212yescomplemented
268#14583375C2212yes—
269#14583375C2212yescomplemented
270#14583371C2212yes—
271#41×Dic43C2212yescomplemented
272C4×#10621900C2212yes—
273C4×#10621900C2212yescomplemented
274C2×C4×Dic86C2211yescharacteristic, complemented
275C2×C4×Dic86C2212yescomplemented
276C4×Q8×D43C2211yescharacteristic
277C4×D4×D43C2212yes—
278C4×D4×D43C2211yescharacteristic
279C2×#13063282C2212yes—
280#117×D43C2212yes—
281C2×C42×D43C2211yescharacteristic
282C43×#559C2212yescomplemented
283C43×#559C2211yescharacteristic, complemented
284Q82×C43C2211yescharacteristic, complemented
285C43×#554C2211yescharacteristic, complemented
286C43×#554C2212yescomplemented
287C43×#550C2211yescharacteristic, complemented
288C43×#548C2212yescomplemented
289C43×#547C2214yescomplemented
290C43×#547C2212yescomplemented
291C43×#542C2212yescomplemented
292C43×#542C2214yescomplemented
293C43×#532C2212yes—
294C43×#532C2211yescharacteristic, complemented
295C43×#529C2211yescharacteristic
296C43×#529C2212yescomplemented
297C43×#520C2212yescomplemented
298C2×C4×Q8×C43C2211yescharacteristic, complemented
299C2×#10621900C2312yes—
300C2×#10621900C2312yes—
301C2×#10621900C2312yes—
302C2×#10621900C2314yes—
303C22×Dic86C2311yescharacteristic
304C22×Dic86C2312yes—
305C22×Dic86C2312yes—
306C2×Q8×D43C2311yescharacteristic
307C2×Q8×D43C2312yes—
308C2×D4×D43C2311yescharacteristic
309C2×D4×D43C2312yes—
310C22×C4×D43C2311yescharacteristic
311C22×C4×D43C2311yescharacteristic
312C22×C4×D43C2311yescharacteristic
313C22×C4×D43C2312yes—
314#13063325C2312yes—
315#13063325C2311yescharacteristic
316#13063325C2312yes—
317#13063325C2312yes—
318#13063325C2311yescharacteristic
319#13063324C2314yes—
320#13063324C2312yes—
321#13063324C2314yes—
322#13063324C2314yes—
323#13063324C2311yescharacteristic
324#13063324C2312yes—
325#13063324C2311yescharacteristic
326#13063324C2314yes—
327#13063324C2312yes—
328#13063324C2312yes—
329#13063324C2311yescharacteristic
330#13063324C2311yescharacteristic
331#13063324C2312yes—
332#13063323C2311yescharacteristic
333#13063323C2314yes—
334#13063323C2312yes—
335#13063323C2314yes—
336#13063323C2314yes—
337#13063323C2312yes—
338#13063323C2314yes—
339#13063323C2314yes—
340#13063323C2311yescharacteristic
341#13063323C2312yes—
342#13063323C2311yescharacteristic
343#13063323C2311yescharacteristic
344#13063323C2312yes—
345#13063321C2312yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2314yes—
352#13063320C2314yes—
353#13063320C2312yes—
354#13063320C2314yes—
355#13063320C2312yes—
356#13063320C2312yes—
357#13063319C2314yes—
358#13063319C2314yes—
359#13063319C2314yes—
360#13063319C2312yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2314yes—
370#13063318C2314yes—
371#13063318C2314yes—
372#13063318C2314yes—
373#13063318C2314yes—
374#13063318C2312yes—
375#13063318C2314yes—
376#13063318C2314yes—
377#13063318C2312yes—
378#13063318C2314yes—
379#13063318C2312yes—
380#13063317C2314yes—
381#13063317C2314yes—
382#13063317C2314yes—
383#13063317C2312yes—
384#13063317C2311yescharacteristic
385#13063317C2312yes—
386#13063317C2312yes—
387#13063316C2314yes—
388#13063316C2312yes—
389#13063316C2314yes—
390#13063316C2314yes—
391#13063316C2314yes—
392#13063316C2314yes—
393#13063316C2312yes—
394#13063316C2311yescharacteristic
395#13063316C2312yes—
396#13063316C2312yes—
397#13063316C2311yescharacteristic
398#13063316C2312yes—
399#13063315C2314yes—
400#13063315C2314yes—
401#13063315C2314yes—
402#13063315C2312yes—
403#13063315C2314yes—
404#13063315C2312yes—
405#13063315C2314yes—
406#13063315C2314yes—
407#13063315C2314yes—
408#13063315C2314yes—
409#13063315C2314yes—
410#13063315C2314yes—
411#13063315C2312yes—
412#13063315C2314yes—
413#13063315C2314yes—
414#13063315C2314yes—
415#13063315C2314yes—
416#13063315C2314yes—
417#13063315C2314yes—
418#13063315C2312yes—
419#13063315C2312yes—
420#13063315C2312yes—
421#13063315C2312yes—
422#13063315C2312yes—
423#13063315C2312yes—
424#13063315C2312yes—
425#13063314C2314yes—
426#13063314C2311yescharacteristic
427#13063313C2312yes—
428#13063313C2311yescharacteristic
429#13063312C2312yes—
430#13063312C2314yes—
431#13063312C2314yes—
432#13063312C2312yes—
433#13063312C2312yes—
434#13063312C2311yescharacteristic
435#13063312C2312yes—
436#13063312C2312yes—
437#13063311C2314yes—
438#13063311C2314yes—
439#13063311C2314yes—
440#13063311C2314yes—
441#13063311C2314yes—
442#13063311C2314yes—
443#13063311C2314yes—
444#13063311C2312yes—
445#13063311C2312yes—
446#13063310C2314yes—
447#13063310C2312yes—
448#13063310C2312yes—
449#13063309C2314yes—
450#13063309C2314yes—
451#13063309C2312yes—
452#13063308C2314yes—
453#13063308C2314yes—
454#13063308C2314yes—
455#13063308C2314yes—
456#13063308C2312yes—
457#13063308C2314yes—
458#13063308C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2314yes—
466#13063307C2312yes—
467#13063307C2312yes—
468#13063307C2314yes—
469#13063306C2314yes—
470#13063306C2314yes—
471#13063306C2314yes—
472#13063306C2314yes—
473#13063306C2314yes—
474#13063306C2314yes—
475#13063306C2314yes—
476#13063306C2314yes—
477#13063306C2314yes—
478#13063306C2312yes—
479#13063306C2314yes—
480#13063305C2311yescharacteristic
481#13063305C2312yes—
482#13063305C2311yescharacteristic
483#13063305C2312yes—
484#13063305C2314yes—
485#13063305C2312yes—
486#13063305C2314yes—
487#13063305C2314yes—
488#13063305C2312yes—
489#13063305C2311yescharacteristic
490#13063305C2311yescharacteristic
491#13063305C2311yescharacteristic
492#13063305C2312yes—
493#13063305C2312yes—
494#13063304C2312yes—
495#13063304C2314yes—
496#13063304C2312yes—
497#13063304C2312yes—
498#13063304C2314yes—
499#13063304C2314yes—
500#13063304C2314yes—
501#13063304C2314yes—
502#13063304C2314yes—
503#13063304C2314yes—
504#13063304C2314yes—
505#13063304C2314yes—
506#13063304C2311yescharacteristic
507#13063304C2312yes—
508#13063303C2314yes—
509#13063303C2312yes—
510#13063303C2314yes—
511#13063303C2312yes—
512#13063303C2314yes—
513#13063303C2314yes—
514#13063303C2312yes—
515#13063303C2314yes—
516#13063303C2312yes—
517#13063303C2312yes—
518#13063303C2312yes—
519#13063303C2312yes—
520#13063303C2312yes—
521#13063303C2312yes—
522#13063302C2314yes—
523#13063302C2314yes—
524#13063302C2314yes—
525#13063302C2314yes—
526#13063302C2314yes—
527#13063302C2314yes—
528#13063302C2314yes—
529#13063302C2314yes—
530#13063302C2314yes—
531#13063302C2314yes—
532#13063302C2314yes—
533#13063302C2312yes—
534#13063302C2314yes—
535#13063302C2314yes—
536#13063302C2314yes—
537#13063302C2314yes—
538#13063301C2311yescharacteristic
539#13063301C2314yes—
540#13063301C2312yes—
541#13063301C2312yes—
542#13063301C2314yes—
543#13063301C2314yes—
544#13063301C2311yescharacteristic
545#13063301C2314yes—
546#13063301C2312yes—
547#13063301C2311yescharacteristic
548#13063301C2311yescharacteristic
549#13063301C2311yescharacteristic
550#13063301C2312yes—
551#13063301C2312yes—
552#13063300C2311yescharacteristic
553#13063299C2314yes—
554#13063299C2311yescharacteristic
555#13063298C2314yes—
556#13063298C2312yes—
557#13063297C2314yes—
558#13063297C2314yes—
559#13063297C2314yes—
560#13063297C2312yes—
561#13063297C2314yes—
562#13063297C2314yes—
563#13063297C2314yes—
564#13063296C2312yes—
565#13063296C2311yescharacteristic
566#13063296C2312yes—
567#13063296C2312yes—
568#13063296C2312yes—
569#13063296C2312yes—
570#13063293C2314yes—
571#13063293C2314yes—
572#13063293C2314yes—
573Q8×Dic43C2312yes—
574Q8×Dic43C2314yes—
575Q8×Dic43C2314yes—
576Q8×Dic43C2312yes—
577Q8×Dic43C2311yescharacteristic
578Q8×Dic43C2312yes—
579Q8×Dic43C2312yes—
580C4×Dic86C2312yes—
581C4×Dic86C2311yescharacteristic
582C4×Dic86C2312yes—
583C4×Dic86C2311yescharacteristic
584C4×Dic86C2312yes—
585C4×Dic86C2314yes—
586C4×Dic86C2314yes—
587C4×Dic86C2312yes—
588C4×Dic86C2312yes—
589C4×Dic86C2314yes—
590C4×Dic86C2312yes—
591C4×Dic86C2312yes—
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594C4×Dic86C2312yes—
595C4×Dic86C2312yes—
596C4×Dic86C2311yescharacteristic
597C4×Dic86C2312yes—
598C4×Dic86C2312yes—
599C4×Dic86C2312yes—
600C4×Dic86C2311yescharacteristic
601C4×Dic86C2311yescharacteristic
602C4×Dic86C2312yes—
603C4×Dic86C2312yes—
604C4×Dic86C2312yes—
605C4×Dic86C2312yes—
606#13063290C2312yes—
607#13063290C2312yes—
608#13063290C2312yes—
609#13063290C2314yes—
610#13063290C2314yes—
611#13063290C2312yes—
612#13063290C2314yes—
613#13063290C2314yes—
614#13063290C2314yes—
615#13063290C2311yescharacteristic
616#13063290C2312yes—
617#13063290C2312yes—
618#13063290C2312yes—
619#13063290C2312yes—
620C4×D172C2312yes—
621C4×D172C2311yescharacteristic
622C4×D172C2312yes—
623D4×Dic43C2314yes—
624D4×Dic43C2314yes—
625D4×Dic43C2314yes—
626D4×Dic43C2312yes—
627D4×Dic43C2312yes—
628D4×Dic43C2312yes—
629D4×Dic43C2314yes—
630D4×Dic43C2314yes—
631D4×Dic43C2311yescharacteristic
632D4×Dic43C2312yes—
633D4×Dic43C2312yes—
634D4×Dic43C2312yes—
635D4×Dic43C2312yes—
636D4×Dic43C2312yes—
637D4×Dic43C2314yes—
638D4×Dic43C2312yes—
639#13063287C2311yescharacteristic
640#13063287C2312yes—
641#13063287C2312yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2312yes—
645C4×C22⋊D43C2314yes—
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2314yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2314yes—
650C4×C22⋊D43C2314yes—
651C4×C22⋊D43C2314yes—
652C4×C22⋊D43C2314yes—
653(C22⋊D43)⋊C4C2314yes—
654(C22⋊D43)⋊C4C2314yes—
655(C22⋊D43)⋊C4C2314yes—
656(C22⋊D43)⋊C4C2314yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2314yes—
659(C22⋊D43)⋊C4C2314yes—
660(C22⋊D43)⋊C4C2312yes—
661(C22⋊D43)⋊C4C2312yes—
662(C22⋊D43)⋊C4C2312yes—
663#13063284C2314yes—
664#13063284C2314yes—
665#13063284C2314yes—
666#13063284C2312yes—
667#13063284C2314yes—
668#13063284C2312yes—
669#13063284C2312yes—
670#13063283C2314yes—
671#13063283C2314yes—
672#13063283C2312yes—
673#13063283C2312yes—
674#13063283C2312yes—
675#13063283C2312yes—
676#13063283C2312yes—
677#13063282C2314yes—
678#13063282C2312yes—
679#13063282C2312yes—
680#13063282C2314yes—
681#13063282C2314yes—
682#13063282C2312yes—
683#13063282C2312yes—
684#13063282C2312yes—
685#13063282C2312yes—
686#13063282C2312yes—
687#13063282C2312yes—
688#13063282C2312yes—
689#13063282C2312yes—
690#13063281C2314yes—
691#13063281C2314yes—
692#13063281C2314yes—
693#13063281C2314yes—
694#13063281C2314yes—
695#13063281C2314yes—
696#13063281C2312yes—
697#13063281C2314yes—
698#13063281C2314yes—
699#13063281C2312yes—
700#13063281C2314yes—
701C2×C4⋊Dic43C2314yes—
702C2×C4⋊Dic43C2314yes—
703C2×C4⋊Dic43C2311yescharacteristic
704C2×C4⋊Dic43C2312yes—
705C2×Dic43⋊C4C2314yes—
706C2×Dic43⋊C4C2314yes—
707C2×Dic43⋊C4C2312yes—
708C2×Dic43⋊C4C2312yes—
709C2×Dic43⋊C4C2314yes—
710C2×Dic43⋊C4C2314yes—
711C2×Dic43⋊C4C2312yes—
712C2×Dic43⋊C4C2312yes—
713C2×Dic43⋊C4C2312yes—
714C4⋊C4×D43C2314yes—
715C4⋊C4×D43C2312yes—
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2312yes—
718C4⋊C4×D43C2312yes—
719C4⋊C4×D43C2311yescharacteristic
720C4⋊C4×D43C2311yescharacteristic
721C4⋊C4×D43C2312yes—
722C2×(C2×D43)⋊C4C2312yes—
723C2×(C2×D43)⋊C4C2314yes—
724C2×(C2×D43)⋊C4C2312yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2312yes—
727C22⋊C4×D43C2312yes—
728C22⋊C4×D43C2314yes—
729C22⋊C4×D43C2312yes—
730C22⋊C4×D43C2312yes—
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2311yescharacteristic
734C2×C4×Dic43C2312yes—
735C2×C4×Dic43C2314yes—
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2311yescharacteristic
743C42×D43C2311yescharacteristic
744C42×D43C2312yes—
745C2×#41×C43C2312yes—
746C2×#41×C43C2314yes—
747C2×#41×C43C2312yes—
748C22×Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2312yes—
750C4⋊Q8×C43C2311yescharacteristic
751C4⋊Q8×C43C2312yes—
752C4⋊Q8×C43C2314yes—
753#127×C43C2311yescharacteristic
754#127×C43C2312yes—
755#126×C43C2312yes—
756#126×C43C2314yes—
757#125×C43C2311yescharacteristic
758#125×C43C2312yes—
759#124×C43C2312yes—
760#124×C43C2314yes—
761#124×C43C2314yes—
762#124×C43C2311yescharacteristic
763#124×C43C2312yes—
764#124×C43C2312yes—
765#123×C43C2314yes—
766#123×C43C2314yes—
767#123×C43C2314yes—
768#123×C43C2312yes—
769#123×C43C2314yes—
770C22⋊Q8×C43C2312yes—
771C22⋊Q8×C43C2314yes—
772C22⋊Q8×C43C2311yescharacteristic
773C22⋊Q8×C43C2314yes—
774C22⋊Q8×C43C2314yes—
775C22⋊Q8×C43C2314yes—
776#121×C43C2312yes—
777#121×C43C2312yes—
778#121×C43C2311yescharacteristic
779#121×C43C2312yes—
780#121×C43C2314yes—
781#121×C43C2314yes—
782C4×Q8×C43C2311yescharacteristic
783C4×Q8×C43C2311yescharacteristic
784C4×Q8×C43C2311yescharacteristic
785C4×Q8×C43C2312yes—
786C4×Q8×C43C2311yescharacteristic
787C4×Q8×C43C2312yes—
788C4×Q8×C43C2312yes—
789C4×Q8×C43C2311yescharacteristic
790C4×Q8×C43C2312yes—
791C4×D4×C43C2312yes—
792C4×D4×C43C2312yes—
793C4×D4×C43C2311yescharacteristic
794C4×D4×C43C2314yes—
795C4×D4×C43C2314yes—
796C4×D4×C43C2312yes—
797C4×D4×C43C2314yes—
798C4×D4×C43C2312yes—
799C4×D4×C43C2312yes—
800C4×D4×C43C2312yes—
801C4×D4×C43C2312yes—
802#117×C43C2314yes—
803#117×C43C2312yes—
804C2×C4⋊C4×C43C2312yes—
805C2×C4⋊C4×C43C2311yescharacteristic
806C2×C4⋊C4×C43C2314yes—
807C2×C4⋊C4×C43C2312yes—
808C2×C42×C43C2311yescharacteristic
809C2×C42×C43C2312yes—
810C23×D43C2411yescharacteristic
811C23×D43C2412yes—
812#41×C43—48no—
813#41×C43—44no—
814#41×C43—44no—
815C2×Q8×C43—42no—
816C2×Q8×C43C2411yescharacteristic
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2411yescharacteristic
819C2×Q8×C43C2412yes—
820C2×Q8×C43C2412yes—
821C2×Q8×C43C2414yes—
822C2×D4×C43C2411yescharacteristic
823C2×D4×C43C2412yes—
824C2×D4×C43C2412yes—
825C2×D4×C43C2414yes—
826C2×D4×C43C2412yes—
827C2×D4×C43C2414yes—
828C2×D4×C43C2414yes—
829C2×D4×C43C2412yes—
830C22×C4×C43C2411yescharacteristic
831C22×C4×C43C2411yescharacteristic
832C22×C4×C43C2412yes—
833C22×C4×C43C2411yescharacteristic
834C22×C4×C43C2412yes—
835C22×C4×C43C2412yes—
836C22×C4×C43C2414yes—
837C22×C4×C43C2414yes—
838C22×C4×C43C2414yes—
839C22×C4×C43C2414yes—
840C2×C22⋊D43C2414yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2412yes—
843C2×C22⋊D43C2414yes—
844C2×C22⋊D43C2414yes—
845C2×C22⋊D43C2414yes—
846C2×C22⋊D43C2412yes—
847C22×Dic43C2411yescharacteristic
848C22×Dic43C2411yescharacteristic
849C22×Dic43C2412yes—
850C22×Dic43C2414yes—
851C22×Dic43C2411yescharacteristic
852C22×Dic43C2412yes—
853C22×Dic43C2414yes—
854C22×Dic43C2414yes—
855C22×Dic43C2414yes—
856C22×Dic43C2414yes—
857C22×Dic43C2412yes—
858Q8×D43—24no—
859Q8×D43—44no—
860#10621900—28no—
861#10621900—44no—
862#10621900—44no—
863#10621900—48no—
864D4×D43—24no—
865D4×D43—44no—
866C2×D172C2411yescharacteristic
867C2×D172C2412yes—
868C2×C4×D43—24no—
869C2×C4×D43—42no—
870C2×C4×D43—42no—
871C2×C4×D43—44no—
872C2×C4×D43C2411yescharacteristic
873C2×C4×D43C2411yescharacteristic
874C2×C4×D43C2411yescharacteristic
875C2×C4×D43C2411yescharacteristic
876C2×C4×D43C2411yescharacteristic
877C2×C4×D43C2412yes—
878C2×C4×D43C2412yes—
879C2×C4×D43C2411yescharacteristic
880C2×C4×D43C2411yescharacteristic
881C2×C4×D43C2411yescharacteristic
882C2×C4×D43C2411yescharacteristic
883C2×C4×D43C2411yescharacteristic
884C2×C4×D43C2411yescharacteristic
885C2×C4×D43C2412yes—
886C2×C4×D43C2412yes—
887C2×C4×D43C2414yes—
888C2×C4×D43C2414yes—
889C2×C4×D43C2412yes—
890C2×C4×D43C2411yescharacteristic
891C2×Dic86—42no—
892C2×Dic86—44no—
893C2×Dic86—44no—
894C2×Dic86C2412yes—
895C2×Dic86C2411yescharacteristic
896C2×Dic86C2412yes—
897C2×Dic86C2412yes—
898C2×Dic86C2411yescharacteristic
899C2×Dic86C2411yescharacteristic
900C2×Dic86C2414yes—
901C2×Dic86C2414yes—
902C2×Dic86C2414yes—
903C2×Dic86C2412yes—
904C2×Dic86C2412yes—
905C2×Dic86C2412yes—
906C2×Dic86C2412yes—
907C2×Dic86C2412yes—
908C4⋊C4×C43C2412yes—
909C4⋊C4×C43C2411yescharacteristic
910C4⋊C4×C43C2412yes—
911C4⋊C4×C43C2414yes—
912C4⋊C4×C43C2412yes—
913C4⋊C4×C43C2414yes—
914C4⋊C4×C43C2411yescharacteristic
915C4⋊C4×C43C2412yes—
916C4⋊C4×C43C2412yes—
917C4⋊C4×C43C2412yes—
918C4⋊C4×C43C2412yes—
919C4⋊C4×C43C2412yes—
920C4⋊C4×C43C2411yescharacteristic
921C4⋊C4×C43C2411yescharacteristic
922C4⋊C4×C43C2412yes—
923C4⋊C4×C43C2412yes—
924C4⋊C4×C43C2414yes—
925C4⋊C4×C43C2412yes—
926C4⋊C4×C43C2414yes—
927C22⋊C4×C43C2412yes—
928C22⋊C4×C43C2414yes—
929C22⋊C4×C43C2412yes—
930C22⋊C4×C43C2414yes—
931C22⋊C4×C43C2412yes—
932C22⋊C4×C43C2412yes—
933C22⋊C4×C43C2414yes—
934C22⋊C4×C43C2414yes—
935C22⋊C4×C43C2414yes—
936C22⋊C4×C43C2414yes—
937C22⋊C4×C43C2412yes—
938C22⋊C4×C43C2414yes—
939C42×C43C2411yescharacteristic
940C42×C43C2412yes—
941C42×C43C2411yescharacteristic
942C42×C43C2412yes—
943C42×C43C2411yescharacteristic
944C42×C43C2412yes—
945C42×C43C2411yescharacteristic
946C42×C43C2412yes—
947C42×C43C2412yes—
948C42×C43C2414yes—
949C22⋊Dic43C2412yes—
950C22⋊Dic43C2412yes—
951C22⋊Dic43C2412yes—
952C22⋊Dic43C2412yes—
953C22⋊Dic43C2414yes—
954C22⋊Dic43C2412yes—
955C22⋊Dic43C2414yes—
956C22⋊Dic43C2414yes—
957C22⋊Dic43C2414yes—
958C22⋊Dic43C2414yes—
959C22⋊Dic43C2414yes—
960C22⋊Dic43C2414yes—
961C22⋊Dic43C2414yes—
962C22⋊Dic43C2414yes—
963C22⋊Dic43C2414yes—
964C22⋊Dic43C2414yes—
965C22⋊Dic43C2414yes—
966(C2×D43)⋊C4C2412yes—
967(C2×D43)⋊C4C2414yes—
968(C2×D43)⋊C4C2412yes—
969(C2×D43)⋊C4C2412yes—
970(C2×D43)⋊C4C2412yes—
971(C2×D43)⋊C4C2412yes—
972(C2×D43)⋊C4C2412yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2412yes—
975(C2×D43)⋊C4C2412yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2412yes—
981(C2×D43)⋊C4C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2414yes—
986(C2×D43)⋊C4C2414yes—
987(C2×D43)⋊C4C2414yes—
988(C2×D43)⋊C4C2414yes—
989(C2×D43)⋊C4C2414yes—
990C4⋊Dic43C2411yescharacteristic
991C4⋊Dic43C2412yes—
992C4⋊Dic43C2414yes—
993C4⋊Dic43C2412yes—
994C4⋊Dic43C2412yes—
995C4⋊Dic43C2411yescharacteristic
996C4⋊Dic43C2411yescharacteristic
997C4⋊Dic43C2412yes—
998C4⋊Dic43C2412yes—
999C4⋊Dic43C2412yes—
1000C4⋊Dic43C2414yes—
1001C4⋊Dic43C2411yescharacteristic
1002C4⋊Dic43C2412yes—
1003C4⋊Dic43C2412yes—
1004C4⋊Dic43C2414yes—
1005C4⋊Dic43C2414yes—
1006C4⋊Dic43C2412yes—
1007C4⋊Dic43C2412yes—
1008C4⋊Dic43C2412yes—
1009C4⋊Dic43C2414yes—
1010C4⋊Dic43C2414yes—
1011C4⋊Dic43C2414yes—
1012C4⋊Dic43C2412yes—
1013C4⋊Dic43C2412yes—
1014C4⋊Dic43C2414yes—
1015Dic43⋊C4C2412yes—
1016Dic43⋊C4C2412yes—
1017Dic43⋊C4C2412yes—
1018Dic43⋊C4C2412yes—
1019Dic43⋊C4C2412yes—
1020Dic43⋊C4C2414yes—
1021Dic43⋊C4C2414yes—
1022Dic43⋊C4C2412yes—
1023Dic43⋊C4C2412yes—
1024Dic43⋊C4C2412yes—
1025Dic43⋊C4C2412yes—
1026Dic43⋊C4C2412yes—
1027Dic43⋊C4C2412yes—
1028Dic43⋊C4C2412yes—
1029Dic43⋊C4C2412yes—
1030Dic43⋊C4C2412yes—
1031Dic43⋊C4C2412yes—
1032Dic43⋊C4C2412yes—
1033Dic43⋊C4C2412yes—
1034Dic43⋊C4C2412yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2412yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2414yes—
1041Dic43⋊C4C2414yes—
1042Dic43⋊C4C2414yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2412yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2414yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2414yes—
1059Dic43⋊C4C2414yes—
1060Dic43⋊C4C2414yes—
1061Dic43⋊C4C2414yes—
1062Dic43⋊C4C2414yes—
1063C4×Dic43C2411yescharacteristic
1064C4×Dic43C2411yescharacteristic
1065C4×Dic43C2411yescharacteristic
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2412yes—
1076C4×Dic43C2412yes—
1077C4×Dic43C2412yes—
1078C4×Dic43C2412yes—
1079C4×Dic43C2412yes—
1080C4×Dic43C2414yes—
1081C4×Dic43C2414yes—
1082C4×Dic43C2414yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2412yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C4×Dic43C2414yes—
1091C4×Dic43C2414yes—
1092C23×C43C2512yes—
1093C23×C43C2514yes—
1094C23×C43C2511yescharacteristic
1095C22×D43—22no—
1096C22×D43—22no—
1097C22×D43—24no—
1098C22×D43—41no—
1099C22×D43—42no—
1100C22×D43—42no—
1101C22×D43C2511yescharacteristic
1102C22×D43C2512yes—
1103C22×D43C2511yescharacteristic
1104Q8×C43—22no—
1105Q8×C43—22no—
1106Q8×C43—22no—
1107Q8×C43—42no—
1108Q8×C43—44no—
1109Q8×C43—42no—
1110D4×C43—24no—
1111D4×C43—28no—
1112D4×C43—22no—
1113D4×C43—24no—
1114D4×C43—24no—
1115D4×C43—44no—
1116D4×C43—42no—
1117D4×C43—44no—
1118C2×C4×C43—24no—
1119C2×C4×C43—22no—
1120C2×C4×C43—22no—
1121C2×C4×C43—22no—
1122C2×C4×C43—24no—
1123C2×C4×C43—42no—
1124C2×C4×C43—44no—
1125C2×C4×C43—44no—
1126C2×C4×C43—44no—
1127C2×C4×C43—44no—
1128C2×C4×C43C2511yescharacteristic
1129C2×C4×C43C2511yescharacteristic
1130C2×C4×C43C2512yes—
1131C2×C4×C43C2512yes—
1132C2×C4×C43C2512yes—
1133C2×C4×C43C2514yes—
1134C2×C4×C43C2511yescharacteristic
1135C2×C4×C43C2511yescharacteristic
1136C2×C4×C43C2512yes—
1137C2×C4×C43C2512yes—
1138C2×C4×C43C2512yes—
1139C2×C4×C43C2512yes—
1140C2×C4×C43C2511yescharacteristic
1141C2×C4×C43C2511yescharacteristic
1142C22⋊D43—24no—
1143C22⋊D43—28no—
1144C22⋊D43—24no—
1145C22⋊D43—42no—
1146C22⋊D43—44no—
1147C22⋊D43—44no—
1148C22⋊D43—44no—
1149C2×Dic43—22no—
1150C2×Dic43—24no—
1151C2×Dic43—22no—
1152C2×Dic43—28no—
1153C2×Dic43—44no—
1154C2×Dic43—42no—
1155C2×Dic43—42no—
1156C2×Dic43—41no—
1157C2×Dic43—44no—
1158C2×Dic43—44no—
1159C2×Dic43—44no—
1160C2×Dic43C2511yescharacteristic
1161C2×Dic43C2511yescharacteristic
1162C2×Dic43C2512yes—
1163C2×Dic43C2514yes—
1164C2×Dic43C2512yes—
1165C2×Dic43C2512yes—
1166C2×Dic43C2511yescharacteristic
1167C2×Dic43C2512yes—
1168C2×Dic43C2511yescharacteristic
1169C2×Dic43C2511yescharacteristic
1170C2×Dic43C2514yes—
1171C2×Dic43C2512yes—
1172C2×Dic43C2512yes—
1173C2×Dic43C2512yes—
1174C2×Dic43C2511yescharacteristic
1175D172—22no—
1176D172—42no—
1177C4×D43—22no—
1178C4×D43—24no—
1179C4×D43—22no—
1180C4×D43—22no—
1181C4×D43—22no—
1182C4×D43—24no—
1183C4×D43—22no—
1184C4×D43—41no—
1185C4×D43—41no—
1186C4×D43—41no—
1187C4×D43—41no—
1188C4×D43—42no—
1189C4×D43—42no—
1190C4×D43—41no—
1191C4×D43—41no—
1192C4×D43—42no—
1193C4×D43—44no—
1194C4×D43—44no—
1195C4×D432−1+414yes—
1196Dic86—24no—
1197Dic86—22no—
1198Dic86—22no—
1199Dic86—22no—
1200Dic86—24no—
1201Dic86—24no—
1202Dic86—44no—
1203Dic86—42no—
1204Dic86—42no—
1205Dic86—42no—
1206Dic86—42no—
1207Dic86—42no—
1208Dic86—44no—
1209Dic86—44no—
1210#62831—431nomaximal, Sylow
1211C22×C43—21no—
1212C22×C43—21no—
1213C22×C43—22no—
1214C22×C43—24no—
1215C22×C43—22no—
1216C22×C43—22no—
1217C22×C43—24no—
1218C22×C43—24no—
1219C22×C43#58512yes—
1220C22×C43C2611yescharacteristic
1221C2×D43—21no—
1222C2×D43—21no—
1223C2×D43—21no—
1224C2×D43—22no—
1225C2×D43—21no—
1226C2×D43—22no—
1227C2×D43—21no—
1228C2×D43—22no—
1229C2×D43—44no—
1230C2×D43—84no—
1231C2×D43C2×2−1+412yes—
1232C4×C43—22no—
1233C4×C43—21no—
1234C4×C43—22no—
1235C4×C43—21no—
1236C4×C43—22no—
1237C4×C43—22no—
1238C4×C43—22no—
1239C4×C43—24no—
1240C4×C43—21no—
1241C4×C43—21no—
1242C4×C43—22no—
1243C4×C43—22no—
1244C4×C43C2×2−1+412yes—
1245C4×C43#58512yes—
1246Dic43—22no—
1247Dic43—24no—
1248Dic43—21no—
1249Dic43—22no—
1250Dic43—24no—
1251Dic43—22no—
1252Dic43—21no—
1253Dic43—21no—
1254Dic43—22no—
1255Dic43—22no—
1256Dic43—22no—
1257Dic43—22no—
1258Dic43—21no—
1259Dic43—21no—
1260Dic43C2×2−1+412yes—
1261#3565—434no—
1262#3564—434no—
1263#3557—432no—
1264#3557—432no—
1265#3555—431no—
1266#3555—431no—
1267#3554—431no—
1268#3554—431no—
1269#3552—432no—
1270#3544—432no—
1271#3535—434no—
1272#3523—431no—
1273#3523—431no—
1274#3522—431no—
1275#3522D4311yescharacteristic, complemented
1276#3520—432no—
1277#3520—432no—
1278#3518—432no—
1279#3515—434no—
1280#3515—432no—
1281#3510—432no—
1282#3507—431no—
1283#3507—432no—
1284#3507—432no—
1285#3506—431no—
1286#3504—432no—
1287#3502—431no—
1288#3501—431no—
1289#3495—432no—
1290#3495—432no—
1291#3495—432no—
1292#3494—432no—
1293#3444—431no—
1294C2×#533—431no—
1295C2×#529—431no—
1296C2×C43—22no—
1297C2×C43—42no—
1298C2×C43—44no—
1299C2×C43C22×2−1+411yescharacteristic
1300C2×C43C2×#58511yescharacteristic
1301C2×C43C2×#58511yescharacteristic
1302D43—22no—
1303D43—41no—
1304D43—42no—
1305#563—434no—
1306#563—434no—
1307#563—434no—
1308#563—434no—
1309#563—434no—
1310#563—434no—
1311#562—434no—
1312#562—434no—
1313#559—432no—
1314#559—432no—
1315#559—431no—
1316#559—432no—
1317#559—432no—
1318#559—432no—
1319#559C2×D4311yescharacteristic, complemented
1320#559C2×D4312yescomplemented
1321Q82—432no—
1322Q82—431no—
1323Q82C2×D4311yescharacteristic, complemented
1324#557—432no—
1325#557—434no—
1326#557—432no—
1327#557—432no—
1328#557—432no—
1329#557—432no—
1330#557—432no—
1331#557—431no—
1332#557—432no—
1333#557—431no—
1334#557—431no—
1335#557—431no—
1336#556—432no—
1337#556—434no—
1338#556—434no—
1339#556—434no—
1340#556—432no—
1341#556—432no—
1342#556—434no—
1343#556—432no—
1344#556—432no—
1345#556—432no—
1346#556—431no—
1347#556—432no—
1348#556—431no—
1349#556—432no—
1350#556—432no—
1351#556—434no—
1352#555—434no—
1353#555—432no—
1354#554—431no—
1355#554—432no—
1356#554—434no—
1357#554—434no—
1358#554—434no—
1359#554—434no—
1360#554—432no—
1361#554—432no—
1362#554—434no—
1363#554—432no—
1364#554—432no—
1365#554—432no—
1366#554—434no—
1367#554—432no—
1368#554C2×D4311yescharacteristic, complemented
1369#554C2×D4312yescomplemented
1370#553—434no—
1371#553—434no—
1372#553—434no—
1373#552—434no—
1374#552—434no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—434no—
1380#552—432no—
1381#552—434no—
1382#552—434no—
1383#552—434no—
1384#552—432no—
1385#552—434no—
1386#552—434no—
1387#552—434no—
1388#552—434no—
1389#552—432no—
1390#552—434no—
1391#552—432no—
1392#551—434no—
1393#551—434no—
1394#551—434no—
1395#551—434no—
1396#551—434no—
1397#551—434no—
1398#551—434no—
1399#551—434no—
1400#550—431no—
1401#550C2×D4311yescharacteristic, complemented
1402D4×Q8—432no—
1403D4×Q8—432no—
1404D4×Q8—431no—
1405D4×Q8—431no—
1406D4×Q8—432no—
1407#548—432no—
1408#548—432no—
1409#548—432no—
1410#548C2×D4312yescomplemented
1411#547—434no—
1412#547—432no—
1413#547—432no—
1414#547—434no—
1415#547—432no—
1416#547—432no—
1417#547C2×D4314yescomplemented
1418#547C2×D4312yescomplemented
1419#546—434no—
1420#546—434no—
1421#544—432no—
1422#544—432no—
1423#544—434no—
1424#544—432no—
1425#544—434no—
1426#544—434no—
1427#544—432no—
1428#543—434no—
1429#542—432no—
1430#542—432no—
1431#542—434no—
1432#542—434no—
1433#542—434no—
1434#542—434no—
1435#542—434no—
1436#542—434no—
1437#542—434no—
1438#542—432no—
1439#542—432no—
1440#542—432no—
1441#542—432no—
1442#542—432no—
1443#542C2×D4312yescomplemented
1444#542C2×D4314yescomplemented
1445#541—434no—
1446#541—434no—
1447#541—432no—
1448#541—432no—
1449#541—434no—
1450#541—432no—
1451#541—432no—
1452#541—432no—
1453#541—434no—
1454#541—432no—
1455#540—432no—
1456#540—432no—
1457#539—434no—
1458#539—434no—
1459#539—434no—
1460#539—434no—
1461#539—434no—
1462#539—434no—
1463#539—434no—
1464#539—434no—
1465#539—434no—
1466#539—434no—
1467#539—434no—
1468#538—434no—
1469#536—432no—
1470#536—434no—
1471#536—432no—
1472#536—432no—
1473#536—434no—
1474#535—432no—
1475#533—431no—
1476#533—431no—
1477#533—432no—
1478#533—432no—
1479#533—434no—
1480#533—431no—
1481#533—431no—
1482#533—431no—
1483#533—431no—
1484#533—432no—
1485#533—432no—
1486#533—431no—
1487#533—431no—
1488#533—431no—
1489#533—431no—
1490#533—432no—
1491#533—432no—
1492#533—432no—
1493#533—431no—
1494#533—432no—
1495#532—431no—
1496#532—431no—
1497#532—432no—
1498#532C2×D4312yes—
1499#532C2×D4311yescharacteristic, complemented
1500C2×C4⋊Q8—431no—
1501C2×C4⋊Q8—431no—
1502#529—432no—
1503#529—431no—
1504#529—431no—
1505#529—432no—
1506#529—432no—
1507#529—432no—
1508#529—432no—
1509#529—434no—
1510#529—431no—
1511#529—431no—
1512#529—432no—
1513#529—432no—
1514#529—432no—
1515#529—432no—
1516#529—431no—
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—434no—
1522#529—432no—
1523#529—432no—
1524#529—431no—
1525#529—432no—
1526#529C2×D4311yescharacteristic
1527#529C2×D4312yescomplemented
1528C2×#126—432no—
1529C2×#125—431no—
1530C2×#125—432no—
1531C2×#125—434no—
1532C2×#124—431no—
1533#525—432no—
1534#525—432no—
1535#525—432no—
1536#525—432no—
1537#525—432no—
1538C2×#123—432no—
1539C2×C22⋊Q8—431no—
1540C2×C22⋊Q8—431no—
1541C2×C22⋊Q8—432no—
1542C2×C22⋊Q8—432no—
1543C2×C22⋊Q8—431no—
1544C2×C22⋊Q8—432no—
1545C2×#121—431no—
1546#520—434no—
1547#520—432no—
1548#520—432no—
1549#520—432no—
1550#520—434no—
1551#520C2×D4312yescomplemented
1552#519—432no—
1553#519—432no—
1554#519—432no—
1555#518—432no—
1556C4×#41—432no—
1557C4×#41—432no—
1558C4×#41—432no—
1559C2×C4×Q8—431no—
1560C2×C4×Q8—432no—
1561C2×C4×Q8—431no—
1562C2×C4×Q8C2×D4311yescharacteristic, complemented
1563C2×C4×D4—431no—
1564C2×C4×D4—432no—
1565C2×#117—432no—
1566C2×#117—432no—
1567C22×C42—431no—
1568C43#6283111yescharacteristic, complemented, Sylow
1569C2×#41—432no—
1570C2×#41—432no—
1571C2×#41—432no—
1572C2×#41—434no—
1573C2×#41C22×D4312yes—
1574C2×#41C22×D4314yes—
1575C2×#41C22×D4312yes—
1576C22×Q8—431no—
1577C22×Q8—432no—
1578C22×Q8—432no—
1579C22×Q8—431no—
1580C22×Q8—432no—
1581C22×Q8C22×D4311yescharacteristic
1582C22×D4—431no—
1583C22×D4—432no—
1584C23×C4—431no—
1585C23×C4—432no—
1586C23×C4—431no—
1587C23×C4—431no—
1588C4⋊Q8—431no—
1589C4⋊Q8—431no—
1590C4⋊Q8—432no—
1591C4⋊Q8—431no—
1592C4⋊Q8—431no—
1593C4⋊Q8—432no—
1594C4⋊Q8—432no—
1595C4⋊Q8—432no—
1596C4⋊Q8—434no—
1597C4⋊Q8—434no—
1598C4⋊Q8—434no—
1599C4⋊Q8—434no—
1600C4⋊Q8—434no—
1601C4⋊Q8—432no—
1602C4⋊Q8—431no—
1603C4⋊Q8—431no—
1604C4⋊Q8—431no—
1605C4⋊Q8—431no—
1606C4⋊Q8—432no—
1607C4⋊Q8—432no—
1608C4⋊Q8—432no—
1609C4⋊Q8—432no—
1610C4⋊Q8—434no—
1611C4⋊Q8—434no—
1612C4⋊Q8—434no—
1613C4⋊Q8—434no—
1614C4⋊Q8—431no—
1615C4⋊Q8—431no—
1616C4⋊Q8—432no—
1617C4⋊Q8—432no—
1618C4⋊Q8—432no—
1619C4⋊Q8C22×D4312yes—
1620C4⋊Q8C22×D4311yescharacteristic
1621C4⋊Q8C22×D4312yes—
1622C4⋊Q8C22×D4314yes—
1623#127—432no—
1624#127C22×D4311yescharacteristic
1625#127C22×D4312yes—
1626#126—432no—
1627#126—432no—
1628#126—432no—
1629#126—434no—
1630#126—434no—
1631#126—434no—
1632#126—434no—
1633#126—434no—
1634#126—434no—
1635#126—434no—
1636#126—434no—
1637#126—432no—
1638#126—432no—
1639#126—432no—
1640#126—434no—
1641#126—434no—
1642#126—434no—
1643#126—434no—
1644#126—434no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
1648#126—434no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126—434no—
1655#126—434no—
1656#126—432no—
1657#126—434no—
1658#126—434no—
1659#126—434no—
1660#126C22×D4312yes—
1661#126C22×D4314yes—
1662#125—432no—
1663#125—432no—
1664#125—432no—
1665#125—432no—
1666#125—431no—
1667#125—431no—
1668#125—432no—
1669#125—432no—
1670#125—432no—
1671#125—432no—
1672#125—432no—
1673#125—432no—
1674#125—434no—
1675#125—434no—
1676#125—434no—
1677#125—434no—
1678#125—434no—
1679#125—434no—
1680#125—432no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
1684#125—432no—
1685#125—434no—
1686#125—434no—
1687#125—434no—
1688#125—434no—
1689#125—434no—
1690#125—434no—
1691#125—434no—
1692#125—434no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—431no—
1701#125—432no—
1702#125—432no—
1703#125—432no—
1704#125—434no—
1705#125—434no—
1706#125—434no—
1707#125C22×D4311yescharacteristic
1708#125C22×D4312yes—
1709#124—431no—
1710#124—434no—
1711#124—431no—
1712#124—432no—
1713#124—432no—
1714#124—432no—
1715#124—432no—
1716#124—432no—
1717#124—434no—
1718#124—434no—
1719#124—432no—
1720#124—432no—
1721#124—434no—
1722#124—434no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—434no—
1728#124—431no—
1729#124—432no—
1730#124C22×D4311yescharacteristic
1731#124C22×D4312yes—
1732#124C22×D4312yes—
1733#124C22×D4312yes—
1734#124C22×D4314yes—
1735#124C22×D4314yes—
1736#123—432no—
1737#123—434no—
1738#123—434no—
1739#123—434no—
1740#123—434no—
1741#123—434no—
1742#123—434no—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—432no—
1748#123—434no—
1749#123—434no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—432no—
1755#123—432no—
1756#123—434no—
1757#123—432no—
1758#123—432no—
1759#123—432no—
1760#123—434no—
1761#123—434no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123C22×D4312yes—
1771#123C22×D4314yes—
1772#123C22×D4314yes—
1773#123C22×D4314yes—
1774#123C22×D4314yes—
1775C22⋊Q8—431no—
1776C22⋊Q8—431no—
1777C22⋊Q8—431no—
1778C22⋊Q8—432no—
1779C22⋊Q8—431no—
1780C22⋊Q8—431no—
1781C22⋊Q8—432no—
1782C22⋊Q8—432no—
1783C22⋊Q8—432no—
1784C22⋊Q8—432no—
1785C22⋊Q8—434no—
1786C22⋊Q8—434no—
1787C22⋊Q8—434no—
1788C22⋊Q8—434no—
1789C22⋊Q8—431no—
1790C22⋊Q8—432no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—432no—
1794C22⋊Q8—434no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—434no—
1799C22⋊Q8—434no—
1800C22⋊Q8—434no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—431no—
1804C22⋊Q8—432no—
1805C22⋊Q8—431no—
1806C22⋊Q8—431no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—431no—
1814C22⋊Q8—431no—
1815C22⋊Q8—432no—
1816C22⋊Q8—432no—
1817C22⋊Q8—432no—
1818C22⋊Q8—432no—
1819C22⋊Q8—432no—
1820C22⋊Q8—434no—
1821C22⋊Q8—432no—
1822C22⋊Q8—432no—
1823C22⋊Q8—434no—
1824C22⋊Q8—434no—
1825C22⋊Q8—432no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—432no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8—434no—
1839C22⋊Q8—434no—
1840C22⋊Q8—434no—
1841C22⋊Q8—434no—
1842C22⋊Q8—434no—
1843C22⋊Q8—434no—
1844C22⋊Q8—434no—
1845C22⋊Q8—434no—
1846C22⋊Q8—434no—
1847C22⋊Q8C22×D4311yescharacteristic
1848C22⋊Q8C22×D4312yes—
1849C22⋊Q8C22×D4314yes—
1850C22⋊Q8C22×D4314yes—
1851C22⋊Q8C22×D4314yes—
1852C22⋊Q8C22×D4314yes—
1853#121—431no—
1854#121—432no—
1855#121—432no—
1856#121—432no—
1857#121—432no—
1858#121—432no—
1859#121—432no—
1860#121—434no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—434no—
1865#121—434no—
1866#121—431no—
1867#121—434no—
1868#121—431no—
1869#121—432no—
1870#121—434no—
1871#121C22×D4311yescharacteristic
1872#121C22×D4312yes—
1873#121C22×D4312yes—
1874#121C22×D4312yes—
1875#121C22×D4314yes—
1876#121C22×D4314yes—
1877#120—434no—
1878#120—434no—
1879#120—434no—
1880C4×Q8—431no—
1881C4×Q8—432no—
1882C4×Q8—432no—
1883C4×Q8—432no—
1884C4×Q8—432no—
1885C4×Q8—434no—
1886C4×Q8—434no—
1887C4×Q8—432no—
1888C4×Q8—431no—
1889C4×Q8—432no—
1890C4×Q8—432no—
1891C4×Q8—432no—
1892C4×Q8—434no—
1893C4×Q8—434no—
1894C4×Q8—432no—
1895C4×Q8—434no—
1896C4×Q8—434no—
1897C4×Q8—432no—
1898C4×Q8—432no—
1899C4×Q8—434no—
1900C4×Q8—432no—
1901C4×Q8—431no—
1902C4×Q8—431no—
1903C4×Q8—432no—
1904C4×Q8—431no—
1905C4×Q8—432no—
1906C4×Q8—431no—
1907C4×Q8—431no—
1908C4×Q8—432no—
1909C4×Q8—432no—
1910C4×Q8—432no—
1911C4×Q8—432no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—432no—
1916C4×Q8—432no—
1917C4×Q8—432no—
1918C4×Q8—432no—
1919C4×Q8—432no—
1920C4×Q8—434no—
1921C4×Q8—434no—
1922C4×Q8—432no—
1923C4×Q8—432no—
1924C4×Q8—432no—
1925C4×Q8—432no—
1926C4×Q8—434no—
1927C4×Q8C22×D4311yescharacteristic
1928C4×Q8C22×D4311yescharacteristic
1929C4×Q8C22×D4311yescharacteristic
1930C4×Q8C22×D4312yes—
1931C4×Q8C22×D4311yescharacteristic
1932C4×Q8C22×D4311yescharacteristic
1933C4×Q8C22×D4312yes—
1934C4×Q8C22×D4312yes—
1935C4×Q8C22×D4312yes—
1936C4×D4—432no—
1937C4×D4—431no—
1938C4×D4—434no—
1939C4×D4—434no—
1940C4×D4—432no—
1941C4×D4—432no—
1942C4×D4—432no—
1943C4×D4—432no—
1944C4×D4—432no—
1945C4×D4—434no—
1946C4×D4—434no—
1947C4×D4—434no—
1948C4×D4—434no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—432no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—434no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—434no—
1963C4×D4—432no—
1964C4×D4—431no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—434no—
1970C4×D4—434no—
1971C4×D4—434no—
1972C4×D4—434no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—432no—
1977C4×D4—431no—
1978C4×D4—432no—
1979C4×D4C22×D4312yes—
1980C4×D4C22×D4311yescharacteristic
1981C4×D4C22×D4312yes—
1982C4×D4C22×D4312yes—
1983C4×D4C22×D4312yes—
1984C4×D4C22×D4314yes—
1985C4×D4C22×D4312yes—
1986C4×D4C22×D4312yes—
1987C4×D4C22×D4314yes—
1988C4×D4C22×D4312yes—
1989C4×D4C22×D4314yes—
1990#117—432no—
1991#117—432no—
1992#117—434no—
1993#117—432no—
1994#117—434no—
1995#117—434no—
1996#117—434no—
1997#117—432no—
1998#117—432no—
1999#117—432no—
2000#117—432no—
2001#117—432no—
2002#117—434no—
2003#117—434no—
2004#117—432no—
2005#117—432no—
2006#117—434no—
2007#117—434no—
2008#117—434no—
2009#117—434no—
2010#117—434no—
2011#117—434no—
2012#117—434no—
2013#117—434no—
2014#117—434no—
2015#117—432no—
2016#117—432no—
2017#117—432no—
2018#117—432no—
2019#117—432no—
2020#117—432no—
2021#117—432no—
2022#117—432no—
2023#117—432no—
2024#117—432no—
2025#117—434no—
2026#117—434no—
2027#117—434no—
2028#117C22×D4312yes—
2029#117C22×D4314yes—
2030C2×C4⋊C4—432no—
2031C2×C4⋊C4—432no—
2032C2×C4⋊C4—432no—
2033C2×C4⋊C4—432no—
2034C2×C4⋊C4—432no—
2035C2×C4⋊C4—432no—
2036C2×C4⋊C4—431no—
2037C2×C4⋊C4—434no—
2038C2×C4⋊C4—434no—
2039C2×C4⋊C4—434no—
2040C2×C4⋊C4—434no—
2041C2×C4⋊C4—434no—
2042C2×C4⋊C4—434no—
2043C2×C4⋊C4—432no—
2044C2×C4⋊C4—432no—
2045C2×C4⋊C4—431no—
2046C2×C4⋊C4—432no—
2047C2×C4⋊C4—431no—
2048C2×C4⋊C4—432no—
2049C2×C4⋊C4—434no—
2050C2×C4⋊C4—432no—
2051C2×C4⋊C4C22×D4312yes—
2052C2×C4⋊C4C22×D4311yescharacteristic
2053C2×C4⋊C4C22×D4312yes—
2054C2×C4⋊C4C22×D4314yes—
2055C2×C22⋊C4—432no—
2056C2×C22⋊C4—432no—
2057C2×C22⋊C4—434no—
2058C2×C22⋊C4—432no—
2059C2×C22⋊C4—432no—
2060C2×C22⋊C4—432no—
2061C2×C22⋊C4—432no—
2062C2×C22⋊C4—432no—
2063C2×C22⋊C4—434no—
2064C2×C42—432no—
2065C2×C42—431no—
2066C2×C42—434no—
2067C2×C42—431no—
2068C2×C42—431no—
2069C2×C42—431no—
2070C2×C42—432no—
2071C2×C42—431no—
2072C2×C42—431no—
2073C2×C42—431no—
2074C2×C42—431no—
2075C2×C42—431no—
2076C2×C42—431no—
2077C2×C42—431no—
2078C2×C42C22×D4312yes—
2079C2×C42C22×D4311yescharacteristic
2080C24—431no—
2081C24—432no—
2082#41—44no—
2083#41—48no—
2084#41—44no—
2085#41—868no—
2086#41—1728no—
2087#41—1724no—
2088#41—1724no—
2089C2×Q8—42no—
2090C2×Q8—432no—
2091C2×Q8—431no—
2092C2×Q8—432no—
2093C2×Q8—431no—
2094C2×Q8—432no—
2095C2×Q8—431no—
2096C2×Q8—432no—
2097C2×Q8—434no—
2098C2×Q8—434no—
2099C2×Q8—432no—
2100C2×Q8—432no—
2101C2×Q8—432no—
2102C2×Q8—434no—
2103C2×Q8—432no—
2104C2×Q8—864no—
2105C2×Q8—1724no—
2106C2×Q8—1722no—
2107C2×Q8—1724no—
2108C2×Q8—1724no—
2109C2×Q8C23×D4311yescharacteristic
2110C2×Q8C23×D4311yescharacteristic
2111C2×Q8C23×D4311yescharacteristic
2112C2×Q8C23×D4312yes—
2113C2×Q8C23×D4314yes—
2114C2×Q8C23×D4312yes—
2115C2×D4—434no—
2116C2×D4—432no—
2117C2×D4—432no—
2118C2×D4—434no—
2119C2×D4—434no—
2120C2×D4—434no—
2121C2×D4—432no—
2122C2×D4—431no—
2123C2×D4—432no—
2124C2×D4—864no—
2125C2×D4—1724no—
2126C2×D4C23×D4311yescharacteristic
2127C2×D4C23×D4312yes—
2128C2×D4C23×D4314yes—
2129C2×D4C23×D4312yes—
2130C2×D4C23×D4312yes—
2131C2×D4C23×D4314yes—
2132C2×D4C23×D4312yes—
2133C2×D4C23×D4314yes—
2134C22×C4—431no—
2135C22×C4—431no—
2136C22×C4—431no—
2137C22×C4—432no—
2138C22×C4—434no—
2139C22×C4—431no—
2140C22×C4—432no—
2141C22×C4—434no—
2142C22×C4—434no—
2143C22×C4—434no—
2144C22×C4—434no—
2145C22×C4—432no—
2146C22×C4—431no—
2147C22×C4—431no—
2148C22×C4—431no—
2149C22×C4—431no—
2150C22×C4—431no—
2151C22×C4—432no—
2152C22×C4—432no—
2153C22×C4—431no—
2154C22×C4—431no—
2155C22×C4—431no—
2156C22×C4—431no—
2157C22×C4—431no—
2158C22×C4—431no—
2159C22×C4—432no—
2160C22×C4—432no—
2161C22×C4—434no—
2162C22×C4—434no—
2163C22×C4—432no—
2164C22×C4—864no—
2165C22×C4—1722no—
2166C22×C4—1724no—
2167C22×C4—1722no—
2168C22×C4C23×D4311yescharacteristic
2169C22×C4C23×D4311yescharacteristic
2170C22×C4C23×D4311yescharacteristic
2171C22×C4C23×D4312yes—
2172C22×C4C23×D4312yes—
2173C22×C4C23×D4314yes—
2174C22×C4C23×D4312yes—
2175C22×C4C23×D4314yes—
2176C22×C4C23×D4314yes—
2177C22×C4C23×D4314yes—
2178C4⋊C4—432no—
2179C4⋊C4—432no—
2180C4⋊C4—432no—
2181C4⋊C4—432no—
2182C4⋊C4—432no—
2183C4⋊C4—432no—
2184C4⋊C4—432no—
2185C4⋊C4—432no—
2186C4⋊C4—432no—
2187C4⋊C4—431no—
2188C4⋊C4—432no—
2189C4⋊C4—432no—
2190C4⋊C4—432no—
2191C4⋊C4—434no—
2192C4⋊C4—434no—
2193C4⋊C4—434no—
2194C4⋊C4—434no—
2195C4⋊C4—432no—
2196C4⋊C4—432no—
2197C4⋊C4—432no—
2198C4⋊C4—431no—
2199C4⋊C4—432no—
2200C4⋊C4—432no—
2201C4⋊C4—432no—
2202C4⋊C4—432no—
2203C4⋊C4—432no—
2204C4⋊C4—432no—
2205C4⋊C4—432no—
2206C4⋊C4—432no—
2207C4⋊C4—432no—
2208C4⋊C4—431no—
2209C4⋊C4—431no—
2210C4⋊C4—432no—
2211C4⋊C4—432no—
2212C4⋊C4—432no—
2213C4⋊C4—432no—
2214C4⋊C4—432no—
2215C4⋊C4—434no—
2216C4⋊C4—434no—
2217C4⋊C4—434no—
2218C4⋊C4—434no—
2219C4⋊C4—434no—
2220C4⋊C4—434no—
2221C4⋊C4—434no—
2222C4⋊C4—434no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—432no—
2229C4⋊C4—432no—
2230C4⋊C4—432no—
2231C4⋊C4—432no—
2232C4⋊C4—432no—
2233C4⋊C4—432no—
2234C4⋊C4—434no—
2235C4⋊C4—434no—
2236C4⋊C4—434no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4—434no—
2248C4⋊C4—434no—
2249C4⋊C4—434no—
2250C4⋊C4—434no—
2251C4⋊C4C23×D4312yes—
2252C4⋊C4C23×D4312yes—
2253C4⋊C4C23×D4312yes—
2254C4⋊C4C23×D4311yescharacteristic
2255C4⋊C4C23×D4312yes—
2256C4⋊C4C23×D4311yescharacteristic
2257C4⋊C4C23×D4314yes—
2258C4⋊C4C23×D4312yes—
2259C4⋊C4C23×D4311yescharacteristic
2260C4⋊C4C23×D4312yes—
2261C4⋊C4C23×D4314yes—
2262C4⋊C4C23×D4311yescharacteristic
2263C4⋊C4C23×D4312yes—
2264C4⋊C4C23×D4314yes—
2265C4⋊C4C23×D4312yes—
2266C4⋊C4C23×D4312yes—
2267C4⋊C4C23×D4312yes—
2268C4⋊C4C23×D4312yes—
2269C4⋊C4C23×D4314yes—
2270C22⋊C4—432no—
2271C22⋊C4—432no—
2272C22⋊C4—432no—
2273C22⋊C4—432no—
2274C22⋊C4—434no—
2275C22⋊C4—432no—
2276C22⋊C4—434no—
2277C22⋊C4—434no—
2278C22⋊C4—434no—
2279C22⋊C4—434no—
2280C22⋊C4—434no—
2281C22⋊C4—434no—
2282C22⋊C4—434no—
2283C22⋊C4—434no—
2284C22⋊C4—434no—
2285C22⋊C4—434no—
2286C22⋊C4—434no—
2287C22⋊C4—432no—
2288C22⋊C4—432no—
2289C22⋊C4—434no—
2290C22⋊C4—432no—
2291C22⋊C4—432no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—432no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—432no—
2302C22⋊C4—434no—
2303C22⋊C4—434no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—434no—
2309C22⋊C4—434no—
2310C22⋊C4—434no—
2311C22⋊C4C23×D4312yes—
2312C22⋊C4C23×D4312yes—
2313C22⋊C4C23×D4312yes—
2314C22⋊C4C23×D4312yes—
2315C22⋊C4C23×D4314yes—
2316C22⋊C4C23×D4312yes—
2317C22⋊C4C23×D4314yes—
2318C22⋊C4C23×D4314yes—
2319C22⋊C4C23×D4314yes—
2320C22⋊C4C23×D4314yes—
2321C22⋊C4C23×D4314yes—
2322C22⋊C4C23×D4314yes—
2323C42—431no—
2324C42—431no—
2325C42—431no—
2326C42—431no—
2327C42—431no—
2328C42—431no—
2329C42—431no—
2330C42—431no—
2331C42—431no—
2332C42—431no—
2333C42—431no—
2334C42—431no—
2335C42—432no—
2336C42—434no—
2337C42—432no—
2338C42—434no—
2339C42—432no—
2340C42—432no—
2341C42—434no—
2342C42—432no—
2343C42—432no—
2344C42—432no—
2345C42—434no—
2346C42—434no—
2347C42—434no—
2348C42—434no—
2349C42—434no—
2350C42—434no—
2351C42—434no—
2352C42C23×D4311yescharacteristic
2353C42C23×D4311yescharacteristic
2354C42C23×D4311yescharacteristic
2355C42C23×D4311yescharacteristic
2356C42C23×D4312yes—
2357C42C23×D4312yes—
2358C42C23×D4312yes—
2359C42C23×D4312yes—
2360C42C23×D4312yes—
2361C42C23×D4314yes—
2362C23—431no—
2363C23—431no—
2364C23—432no—
2365C23—864no—
2366C23—862no—
2367C23—862no—
2368C23—1722no—
2369C23—1722no—
2370C23—1721no—
2371C23C24×D4312yes—
2372C23C24×D4314yes—
2373C23C24×D4311yescharacteristic
2374Q8—22no—
2375Q8—22no—
2376Q8—22no—
2377Q8—42no—
2378Q8—42no—
2379Q8—44no—
2380Q8—864no—
2381Q8—862no—
2382Q8—864no—
2383Q8—862no—
2384Q8—864no—
2385Q8—862no—
2386Q8—1722no—
2387Q8—1722no—
2388Q8—1722no—
2389Q8—1722no—
2390Q8—1724no—
2391Q8—1722no—
2392Q8—1724no—
2393Q8—1724no—
2394D4—24no—
2395D4—28no—
2396D4—22no—
2397D4—24no—
2398D4—24no—
2399D4—42no—
2400D4—44no—
2401D4—44no—
2402D4—864no—
2403D4—868no—
2404D4—864no—
2405D4—862no—
2406D4—1722no—
2407D4—1722no—
2408D4—1724no—
2409D4—1724no—
2410D4—1724no—
2411C2×C4—22no—
2412C2×C4—24no—
2413C2×C4—22no—
2414C2×C4—22no—
2415C2×C4—24no—
2416C2×C4—42no—
2417C2×C4—44no—
2418C2×C4—44no—
2419C2×C4—44no—
2420C2×C4—44no—
2421C2×C4—431no—
2422C2×C4—434no—
2423C2×C4—431no—
2424C2×C4—431no—
2425C2×C4—432no—
2426C2×C4—434no—
2427C2×C4—432no—
2428C2×C4—431no—
2429C2×C4—431no—
2430C2×C4—431no—
2431C2×C4—432no—
2432C2×C4—434no—
2433C2×C4—432no—
2434C2×C4—432no—
2435C2×C4—432no—
2436C2×C4—432no—
2437C2×C4—862no—
2438C2×C4—862no—
2439C2×C4—864no—
2440C2×C4—862no—
2441C2×C4—868no—
2442C2×C4—862no—
2443C2×C4—864no—
2444C2×C4—862no—
2445C2×C4—862no—
2446C2×C4—864no—
2447C2×C4—862no—
2448C2×C4—1721no—
2449C2×C4—1721no—
2450C2×C4—1721no—
2451C2×C4—1721no—
2452C2×C4—1722no—
2453C2×C4—1722no—
2454C2×C4—1721no—
2455C2×C4—1721no—
2456C2×C4—1722no—
2457C2×C4—1724no—
2458C2×C4—1724no—
2459C2×C4—1721no—
2460C2×C4—1722no—
2461C2×C4—1722no—
2462C2×C4—1724no—
2463C2×C4—1724no—
2464C2×C4—1724no—
2465C2×C4—1724no—
2466C2×C4C24×D4311yescharacteristic
2467C2×C4C24×D4311yescharacteristic
2468C2×C4C24×D4312yes—
2469C2×C4C24×D4312yes—
2470C2×C4C24×D4314yes—
2471C2×C4C24×D4312yes—
2472C2×C4C24×D4311yescharacteristic
2473C2×C4C24×D4312yes—
2474C2×C4C24×D4311yescharacteristic
2475C2×C4C24×D4312yes—
2476C2×C4C24×D4312yes—
2477C2×C4C24×D4312yes—
2478C2×C4C24×D4311yescharacteristic
2479C2×C4C24×D4311yescharacteristic
2480C22—21no—
2481C22—21no—
2482C22—24no—
2483C22—22no—
2484C22—24no—
2485C22—22no—
2486C22—22no—
2487C22—24no—
2488C22—432no—
2489C22—861no—
2490C22—861no—
2491C22—861no—
2492C22—862no—
2493C22—862no—
2494C22—861no—
2495C22—862no—
2496C22—861no—
2497C22—3444no—
2498C22—1724no—
2499C22#1458373412yes—
2500C22C25×D4311yescharacteristic
2501C4—21no—
2502C4—22no—
2503C4—21no—
2504C4—22no—
2505C4—21no—
2506C4—22no—
2507C4—22no—
2508C4—24no—
2509C4—22no—
2510C4—21no—
2511C4—22no—
2512C4—22no—
2513C4—432no—
2514C4—861no—
2515C4—864no—
2516C4—862no—
2517C4—862no—
2518C4—861no—
2519C4—861no—
2520C4—862no—
2521C4—862no—
2522C4—861no—
2523C4—861no—
2524C4—862no—
2525C4—862no—
2526C4—864no—
2527C4—862no—
2528C42−1+4×D4312yes—
2529C4#1458373512yes—
2530C2—22no—
2531C2—42no—
2532C2—44no—
2533C2—862no—
2534C2—1722no—
2535C2—1721no—
2536C2C2×2−1+4×D4311yescharacteristic
2537C2C2×#1458373411yescharacteristic
2538C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3522C2
hypercenter#3522D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #19149227C2semidirect
2. #19149220C2semidirect
3. #19149096C2semidirect
4. #19149092C2semidirect
5. #19149086C2semidirect
6. #19149084C2semidirect
7. #19149062C2semidirect
8. #19149054C2semidirect
9. #19149026C2semidirect
10. #19148931C2semidirect
11. #19148796C2semidirect
12. #19148691C2semidirect
13. #19148689C2semidirect
14. #19148672C2semidirect
15. #19148637C2semidirect
16. #19148635C2semidirect
17. #19148608C2semidirect
18. #19148563C2semidirect
19. #19148560C2semidirect
20. #19148488C2semidirect
21. #19148457C2semidirect
22. #19148452C2semidirect
23. #19148451C2semidirect
24. #19148439C2semidirect
25. #19148415C2semidirect
26. #19148404C2semidirect
27. #19148392C2semidirect
28. #19148348C2semidirect
29. #19148345C2semidirect
30. #19148335C2semidirect
31. #19148325C2semidirect
32. #19147890C2semidirect
33. C2×#14583453C2semidirect
34. #529×D43C2semidirect
35. C43×#3522C2semidirect
36. #14583652C22semidirect
37. #14583650C22semidirect
38. #14583650C22semidirect
39. #14583650C22semidirect
40. #14583649C22semidirect
41. #14583648C22semidirect
42. #14583646C22semidirect
43. #14583644C22semidirect
44. #14583635C22semidirect
45. #14583635C22semidirect
46. #14583635C22semidirect
47. #14583632C22semidirect
48. #14583632C22semidirect
49. #14583631C22semidirect
50. #14583629C22semidirect
51. #14583629C22semidirect
52. #14583628C22semidirect
53. #14583628C22semidirect
54. #14583627C22semidirect
55. #14583627C22semidirect
56. #14583627C22semidirect
57. #14583627C22semidirect
58. #14583626C22semidirect
59. #14583626C22semidirect
60. #14583625C22semidirect
61. #14583624C22semidirect
62. #14583624C22semidirect
63. #14583624C22semidirect
64. #14583623C22semidirect
65. #14583622C22semidirect
66. #14583622C22semidirect
67. #14583621C22semidirect
68. #14583620C22semidirect
69. #14583619C22semidirect
70. #14583619C22semidirect
71. #14583619C22semidirect
72. #14583618C22semidirect
73. #14583618C22semidirect
74. #14583618C22semidirect
75. #14583618C22semidirect
76. #14583618C22semidirect
77. #14583617C22semidirect
78. #14583616C22semidirect
79. #14583616C22semidirect
80. #14583613C22semidirect
82. #14583610C22semidirect
83. #14583608C22semidirect
84. #14583608C22semidirect
85. #14583608C22semidirect
86. #14583608C22semidirect
88. #14583607C22semidirect
89. #14583606C22semidirect
90. #14583606C22semidirect
91. #14583605C22semidirect
93. #14583604C22semidirect
98. #14583592C22semidirect
99. #14583590C22semidirect
100. #14583589C22semidirect
101. #14583589C22semidirect
102. #14583589C22semidirect
103. #14583589C22semidirect
105. #14583586C22semidirect
106. #14583586C22semidirect
107. #14583586C22semidirect
108. #14583586C22semidirect
110. #14583585C22semidirect
111. #14583584C22semidirect
112. #14583584C22semidirect
113. #14583584C22semidirect
114. #14583584C22semidirect
115. #14583583C22semidirect
116. #14583582C22semidirect
117. #14583582C22semidirect
126. #14583569C22semidirect
127. Q8×D172C22semidirect
128. D4×Dic86C22semidirect
129. D4×Dic86C22semidirect
130. Q8×C22⋊D43C22semidirect
131. #14583562C22semidirect
132. #14583557C22semidirect
133. #14583555C22semidirect
134. #14583555C22semidirect
135. #14583553C22semidirect
136. #14583549C22semidirect
138. #14583548C22semidirect
139. #14583548C22semidirect
140. #14583548C22semidirect
143. #14583530C22semidirect
145. #14583528C22semidirect
146. #14583528C22semidirect
149. #14583526C22semidirect
152. #14583522C22semidirect
153. #14583519C22semidirect
154. #14583518C22semidirect
155. #14583517C22semidirect
156. #14583517C22semidirect
157. #14583516C22semidirect
159. #14583514C22semidirect
160. #14583514C22semidirect
161. #14583514C22semidirect
162. #14583513C22semidirect
163. #14583513C22semidirect
164. #14583513C22semidirect
165. #14583512C22semidirect
166. #14583511C22semidirect
167. #14583510C22semidirect
168. #14583509C22semidirect
169. #14583509C22semidirect
170. #14583507C22semidirect
171. #14583507C22semidirect
172. #14583507C22semidirect
173. #14583507C22semidirect
174. #14583506C22semidirect
177. #14583496C22semidirect
178. #14583495C22semidirect
179. #14583494C22semidirect
180. #14583494C22semidirect
181. #14583494C22semidirect
182. #14583493C22semidirect
183. #14583493C22semidirect
184. #14583493C22semidirect
186. #14583491C22semidirect
187. #14583491C22semidirect
189. #14583471C22semidirect
190. #14583470C22semidirect
191. #14583470C22semidirect
193. #14583469C22semidirect
195. #14583456C22semidirect
196. #14583456C22semidirect
199. #14583454C22semidirect
207. #14583453C22semidirect
208. #14583453C22semidirect
209. #14583453C22semidirect
210. #14583453C22semidirect
211. #14583453C22semidirect
212. #14583453C22semidirect
213. #14583451C22semidirect
214. #14583451C22semidirect
216. #14583447C22semidirect
218. C2×#13063324C22semidirect
219. C2×#13063323C22semidirect
229. #14583431C22semidirect
232. #14583430C22semidirect
233. #14583430C22semidirect
234. #14583430C22semidirect
236. #14583429C22semidirect
240. #14583428C22semidirect
243. #14583426C22semidirect
245. C2×#13063315C22semidirect
246. C2×#13063315C22semidirect
262. #14583382C22semidirect
265. #14583378C22semidirect
266. #14583378C22semidirect
267. #14583376C22semidirect
269. #14583375C22semidirect
271. #41×Dic43C22semidirect
273. C4×#10621900C22semidirect
274. C2×C4×Dic86C22semidirect
275. C2×C4×Dic86C22semidirect
282. C43×#559C22semidirect
283. C43×#559C22semidirect
284. Q82×C43C22semidirect
285. C43×#554C22semidirect
286. C43×#554C22semidirect
287. C43×#550C22semidirect
288. C43×#548C22semidirect
289. C43×#547C22semidirect
290. C43×#547C22semidirect
291. C43×#542C22semidirect
292. C43×#542C22semidirect
294. C43×#532C22semidirect
296. C43×#529C22semidirect
297. C43×#520C22semidirect
298. C2×C4×Q8×C43C22semidirect
1275. #3522D43semidirect
1319. #559C2×D43semidirect
1320. #559C2×D43semidirect
1323. Q82C2×D43semidirect
1368. #554C2×D43semidirect
1369. #554C2×D43semidirect
1401. #550C2×D43semidirect
1410. #548C2×D43semidirect
1417. #547C2×D43semidirect
1418. #547C2×D43semidirect
1443. #542C2×D43semidirect
1444. #542C2×D43semidirect
1499. #532C2×D43semidirect
1527. #529C2×D43semidirect
1551. #520C2×D43semidirect
1562. C2×C4×Q8C2×D43semidirect
1568. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492272
#191492202
#191490962
#191490922
#191490862
#191490842
#191490622
#191490542
#191490262
#191489312
#191487962
#191486912
#191486892
#191486722
#191486372
#191486352
#191486082
#191485632
#191485602
#191484882
#191484572
#191484522
#191484512
#191484392
#191484152
#191484042
#191483922
#191483482
#191483452
#191483352
#191483252
#191478902
C2×#145834532
#529×D432
C43×#35222
#6283143