Finite Group Databasebeta

← #25979513

Subgroups — #25979513

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148642C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147612C211yesmaximal, characteristic, complemented
4#19147491C211yesmaximal, characteristic, complemented
5#19147241C211yesmaximal, characteristic, complemented
6#19147227C211yesmaximal, characteristic, complemented
7#19147185C211yesmaximal, characteristic, complemented
8#19147079C211yesmaximal, characteristic, complemented
9#19147075C211yesmaximal, characteristic, complemented
10#19146518C211yesmaximal, characteristic, complemented
11#19146444C211yesmaximal, characteristic, complemented
12#19146440C211yesmaximal, characteristic, complemented
13#19146418C211yesmaximal, characteristic, complemented
14#19146414C211yesmaximal, characteristic, complemented
15#19146403C211yesmaximal, characteristic, complemented
16#19146192C211yesmaximal, characteristic, complemented
17#19146082C211yesmaximal, characteristic, complemented
18#19146074C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145151C211yesmaximal, characteristic, complemented
21#19144792C211yesmaximal, characteristic, complemented
22#19144788C211yesmaximal, characteristic, complemented
23#19144777C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144692C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143429C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×D8×D43C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583618C2211yescharacteristic, complemented
36#14583613C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic, complemented
38#14583607C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583602C2211yescharacteristic
41#14583596C2211yescharacteristic
42#14583594—21no—
43#14583585—21no—
44#14583579—21no—
45#14583574—21no—
46#14583569C2211yescharacteristic, complemented
47#14583564C2211yescharacteristic, complemented
48#14583557—21no—
49#14583551C2211yescharacteristic, complemented
50#14583549C2211yescharacteristic, complemented
51#14583546—21no—
52#14583546C2211yescharacteristic, complemented
53#14583542C2211yescharacteristic, complemented
54#14583541—21no—
55#14583538—21no—
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic, complemented
59#14583514C2211yescharacteristic, complemented
60#14583500C2211yescharacteristic, complemented
61#14583495—21no—
62#14583492—21no—
63#14583485—21no—
64#14583481—21no—
65#14583453C2211yescharacteristic, complemented
66#14583446C2211yescharacteristic
67#14583427C2211yescharacteristic
68#14583407—21no—
69#14583407—21no—
70C22⋊Q8×D43—21no—
71#121×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583379C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583270C2211yescharacteristic, complemented
82#14583252C2211yescharacteristic, complemented
83#14583248C2211yescharacteristic, complemented
84#14583244C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583236C2211yescharacteristic, complemented
89#14583233C2211yescharacteristic, complemented
90#14583221C2211yescharacteristic, complemented
91#14583220C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic, complemented
93#14583216C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic, complemented
95#14583215C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583204C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583186C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583149C2211yescharacteristic, complemented
111#14583146C2211yescharacteristic, complemented
112#14583134C2211yescharacteristic, complemented
113#14583131C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic, complemented
115#14583127C2211yescharacteristic, complemented
116#14583127C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583113C2211yescharacteristic
119#14583112C2211yescharacteristic, complemented
120#14583111C2211yescharacteristic
121#14583111C2211yescharacteristic, complemented
122#14583103C2211yescharacteristic, complemented
123#14583102C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic, complemented
130#14583051C2211yescharacteristic
131#14583051C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583048C2211yescharacteristic
134#14583047C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583042C2211yescharacteristic, complemented
137#14583042C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic, complemented
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic
147#14583009C2211yescharacteristic, complemented
148#14583009C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154C4×#10621873C2211yescharacteristic, complemented
155C4×#10621873C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157C4×#10621883C2211yescharacteristic, complemented
158#14582984C2211yescharacteristic, complemented
159C4×D344C2211yescharacteristic
160C4×D344C2211yescharacteristic, complemented
161D8×Dic43C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic
163C4×#10621882C2211yescharacteristic
164C4×#10621882C2211yescharacteristic, complemented
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic, complemented
171C8×D172C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#107×D43C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182C2×#13063247C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×Q8×D43—21no—
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C2×D4×D43C2311yescharacteristic
215C2×D4×D43C2311yescharacteristic
216C22×C4×D43—21no—
217C22×C4×D43—21no—
218#13063353—24no—
219#13063352—24no—
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232D8×D43—24no—
233C2×#10621872C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311D411yescharacteristic
261#13063310—21no—
262#13063310—21no—
263#13063310D411yescharacteristic
264#13063308—21no—
265#13063308—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307D411yescharacteristic
272#13063306—21no—
273#13063306—21no—
274#13063305—21no—
275#13063305—21no—
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063304—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301C2311yescharacteristic
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295—21no—
315#13063295—21no—
316#13063293—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×D172—21no—
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287—21no—
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452#123×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516#10621902—22no—
517#10621902—41no—
518Q8×D43—82no—
519#10621900—82no—
520#10621900—82no—
521D4×D43—22no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—41no—
525D4×D43—41no—
526D4×D43—41no—
527D4×D43—82no—
528D4×D43—82no—
529D4×D43—82no—
530#10621898—22no—
531#10621898—41no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—22no—
538C2×D172—41no—
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—82no—
559C2×C4×D43—82no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570SD16×C43—41no—
571D8×C43—22no—
572D8×C43—41no—
573M16×C43—22no—
574C2×C8×C43—41no—
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C42×C43—21no—
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621884—22no—
616#10621884—41no—
617#10621883—41no—
618#10621883—41no—
619#10621882—22no—
620#10621882—22no—
621#10621882—22no—
622#10621882—41no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344#4114yescomplemented
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43C22×D411yescharacteristic
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718Q8×C43—81no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—22no—
747C22⋊D43—22no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—22no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—42no—
780D172—42no—
781D172—42no—
782D172—81no—
783D172C2×#4112yes—
784D172C2×#4112yes—
785C4×D43—22no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—22no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806Dic86—22no—
807Dic86—21no—
808Dic86—21no—
809Dic86—42no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61496—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—22no—
837C2×D43—22no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—84no—
849C2×D43—84no—
850C2×D43—162no—
851C2×D43—162no—
852C2×D43#57712yes—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43C22×#4111yescharacteristic
864C4×C43#58511yescharacteristic
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346—431no—
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295—431no—
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264—431no—
894#3179—431no—
895#3179D4311yescharacteristic, complemented
896#3167—431no—
897#3119—431no—
898#3119—431no—
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946—431no—
906C2×C4×D8—431no—
907C2×C43—41no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43—81no—
911C2×C43D4×#4111yescharacteristic
912C2×C43C2×#57611yescharacteristic
913C2×C43C2×#57711yescharacteristic
914D43—22no—
915D43—41no—
916D43—42no—
917D43—42no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)—431no—
921C22×D8—431no—
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554—431no—
927#553—431no—
928#553—431no—
929#553—861no—
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—431no—
940#546—861no—
941#546—861no—
942#546—861no—
943D42—431no—
944D42—431no—
945D42—431no—
946#542—431no—
947#542C2×D4311yescharacteristic, complemented
948#540—431no—
949#540C2×D4311yescharacteristic, complemented
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520—431no—
963#518—431no—
964#518—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501C2×D4311yescharacteristic, complemented
969#498—431no—
970#496—431no—
971#496C2×D4311yescharacteristic, complemented
972#492—431no—
973#488—431no—
974#488C2×D4311yescharacteristic, complemented
975#487—431no—
976#486—431no—
977#486—431no—
978#486C2×D4311yescharacteristic, complemented
979#485—431no—
980#485—431no—
981#484—431no—
982#484—431no—
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481—431no—
988#481—431no—
989#480—431no—
990#480—431no—
991#479—431no—
992#479—431no—
993#478—431no—
994#478—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#469—431no—
1004#469C2×D4311yescharacteristic, complemented
1005#468—431no—
1006#468C2×D4311yescharacteristic, complemented
1007#466—431no—
1008#466C2×D4311yescharacteristic, complemented
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465—431no—
1014#465C2×D4311yescharacteristic, complemented
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459—431no—
1027#450—431no—
1028#450—431no—
1029#450—431no—
1030#450—431no—
1031#449—431no—
1032#449—431no—
1033#449—431no—
1034#449—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#447—431no—
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#442C2×D4311yescharacteristic, complemented
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440C2×D4311yescharacteristic, complemented
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16C2×D4311yescharacteristic, complemented
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068C4×D8C2×D4311yescharacteristic, complemented
1069#436—431no—
1070#435—431no—
1071#435—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4—431no—
1075#433—431no—
1076#433—431no—
1077#432—431no—
1078#428—431no—
1079#428—431no—
1080C2×#107—431no—
1081#416—431no—
1082#416—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086C2×#102—431no—
1087#405—431no—
1088#405C2×D4311yescharacteristic, complemented
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×Q8—861no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—864no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—864no—
1123C2×D8C22×D4311yescharacteristic
1124C2×D8C22×D4311yescharacteristic
1125C2×M16—431no—
1126C2×M16C22×D4311yescharacteristic
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8C22×D4311yescharacteristic
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8C22×D4311yescharacteristic
1136#127—431no—
1137#127—431no—
1138#127C22×D4311yescharacteristic
1139#126—21no—
1140#126—431no—
1141#126—431no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—431no—
1148#125—431no—
1149#125—861no—
1150#125—861no—
1151#125—861no—
1152#125C22×D4311yescharacteristic
1153#124—21no—
1154#124—431no—
1155#124—431no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124C22×D4311yescharacteristic
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—431no—
1165#123—431no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—21no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8C22×D4311yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121C22×D4311yescharacteristic
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#120—861no—
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—861no—
1236C4×Q8C22×D4311yescharacteristic
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4C22×D4311yescharacteristic
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—431no—
1274#117—431no—
1275#117—431no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117C22×D4311yescharacteristic
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C22⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107C22×D4311yescharacteristic
1306#107C22×D4311yescharacteristic
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106C22×D4311yescharacteristic
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320C4⋊C8—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8—431no—
1358C22⋊C8—431no—
1359#97—431no—
1360#97—431no—
1361#97C22×D4311yescharacteristic
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C4×C8C22×D4311yescharacteristic
1369C24—861no—
1370C24—861no—
1371C24—861no—
1372C24—861no—
1373#41—862no—
1374#41—862no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—862no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—862no—
1411C2×D4—862no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—3442no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4—1721no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C2×D4—1721no—
1425C2×D4C23×D4311yescharacteristic
1426C2×D4C23×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—3442no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457SD16—22no—
1458SD16—41no—
1459SD16—862no—
1460SD16—862no—
1461SD16—862no—
1462SD16—1721no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—22no—
1466D8—41no—
1467D8—434no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—862no—
1472D8—1721no—
1473M16—22no—
1474M16—862no—
1475C2×C8—41no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—862no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4D4×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—431no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—21no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—431no—
1587C23—431no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23—1722no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—862no—
1608Q8—861no—
1609Q8—861no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—432no—
1625D4—432no—
1626D4—862no—
1627D4—862no—
1628D4—862no—
1629D4—861no—
1630D4—861no—
1631D4—861no—
1632D4—861no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—431no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—862no—
1665C2×C4—862no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—1722no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C8#41×D4312yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—432no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—861no—
1726C22—862no—
1727C22—862no—
1728C22—3444no—
1729C22—3444no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—6882no—
1738C22—6882no—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—432no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—861no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C2×#41×D4311yescharacteristic
1762C4#1458373511yescharacteristic
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—862no—
1768C2—3441no—
1769C2—1721no—
1770C2—1722no—
1771C2—1722no—
1772C2#1914808111yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148642C2semidirect
2. #19148625C2semidirect
3. #19147612C2semidirect
4. #19147491C2semidirect
5. #19147241C2semidirect
6. #19147227C2semidirect
7. #19147185C2semidirect
8. #19147079C2semidirect
9. #19147075C2semidirect
10. #19146518C2semidirect
11. #19146444C2semidirect
12. #19146440C2semidirect
13. #19146418C2semidirect
14. #19146414C2semidirect
15. #19146403C2semidirect
16. #19146192C2semidirect
17. #19146082C2semidirect
18. #19146074C2semidirect
19. #19145282C2semidirect
20. #19145151C2semidirect
21. #19144792C2semidirect
22. #19144788C2semidirect
23. #19144777C2semidirect
24. #19144773C2semidirect
25. #19144692C2semidirect
26. #19144684C2semidirect
27. #19143566C2semidirect
28. #19143429C2semidirect
29. #19143422C2semidirect
30. C4×D8×D43C2semidirect
31. C43×#3179C2semidirect
35. #14583618C22semidirect
36. #14583613C22semidirect
37. #14583610C22semidirect
38. #14583607C22semidirect
39. #14583605C22semidirect
46. #14583569C22semidirect
47. #14583564C22semidirect
49. #14583551C22semidirect
50. #14583549C22semidirect
52. #14583546C22semidirect
53. #14583542C22semidirect
58. #14583533C22semidirect
59. #14583514C22semidirect
60. #14583500C22semidirect
65. #14583453C22semidirect
72. #14583381C22semidirect
73. #14583379C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
77. C4×D4×D43C22semidirect
78. #14583307C22semidirect
79. #14583296C22semidirect
80. #14583287C22semidirect
81. #14583270C22semidirect
82. #14583252C22semidirect
83. #14583248C22semidirect
84. #14583244C22semidirect
85. #14583244C22semidirect
86. #14583243C22semidirect
87. #14583237C22semidirect
88. #14583236C22semidirect
89. #14583233C22semidirect
90. #14583221C22semidirect
91. #14583220C22semidirect
92. #14583219C22semidirect
93. #14583216C22semidirect
94. #14583216C22semidirect
95. #14583215C22semidirect
96. #14583214C22semidirect
97. #14583210C22semidirect
98. #14583204C22semidirect
99. #14583203C22semidirect
100. #14583202C22semidirect
101. #14583196C22semidirect
102. #14583188C22semidirect
103. #14583188C22semidirect
104. #14583187C22semidirect
105. #14583186C22semidirect
106. #14583178C22semidirect
107. #14583177C22semidirect
108. #14583177C22semidirect
109. #14583176C22semidirect
110. #14583149C22semidirect
111. #14583146C22semidirect
112. #14583134C22semidirect
113. #14583131C22semidirect
114. #14583129C22semidirect
115. #14583127C22semidirect
116. #14583127C22semidirect
117. #14583125C22semidirect
119. #14583112C22semidirect
121. #14583111C22semidirect
122. #14583103C22semidirect
123. #14583102C22semidirect
124. #14583097C22semidirect
125. #14583096C22semidirect
126. #14583093C22semidirect
127. #14583093C22semidirect
128. #14583092C22semidirect
129. #14583091C22semidirect
131. #14583051C22semidirect
132. #14583049C22semidirect
134. #14583047C22semidirect
135. #14583043C22semidirect
136. #14583042C22semidirect
137. #14583042C22semidirect
138. #14583034C22semidirect
141. #14583031C22semidirect
142. #14583027C22semidirect
143. C8×Dic86C22semidirect
145. #14583012C22semidirect
147. #14583009C22semidirect
148. #14583009C22semidirect
149. #14583001C22semidirect
150. #14583001C22semidirect
151. #14583000C22semidirect
152. #14582999C22semidirect
153. #14582997C22semidirect
154. C4×#10621873C22semidirect
155. C4×#10621873C22semidirect
156. C4×#10621884C22semidirect
157. C4×#10621883C22semidirect
158. #14582984C22semidirect
160. C4×D344C22semidirect
161. D8×Dic43C22semidirect
164. C4×#10621882C22semidirect
166. #14582979C22semidirect
167. #14582979C22semidirect
168. #14582975C22semidirect
169. #14582972C22semidirect
170. #14582968C22semidirect
171. C8×D172C22semidirect
172. C8×C22⋊D43C22semidirect
173. C8×C22⋊D43C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582941C22semidirect
178. #14582938C22semidirect
179. #107×D43C22semidirect
180. #14582896C22semidirect
181. #14582894C22semidirect
182. C2×#13063247C22semidirect
184. #102×D43C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#466C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
688. D344#41semidirect
895. #3179D43semidirect
947. #542C2×D43semidirect
949. #540C2×D43semidirect
968. #501C2×D43semidirect
971. #496C2×D43semidirect
974. #488C2×D43semidirect
978. #486C2×D43semidirect
1004. #469C2×D43semidirect
1006. #468C2×D43semidirect
1008. #466C2×D43semidirect
1014. #465C2×D43semidirect
1046. #442C2×D43semidirect
1052. #440C2×D43semidirect
1058. C4×SD16C2×D43semidirect
1068. C4×D8C2×D43semidirect
1088. #405C2×D43semidirect
1090. C43#61496semidirect

Maximal subgroups

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

subgroupindex
#191486422
#191486252
#191476122
#191474912
#191472412
#191472272
#191471852
#191470792
#191470752
#191465182
#191464442
#191464402
#191464182
#191464142
#191464032
#191461922
#191460822
#191460742
#191452822
#191451512
#191447922
#191447882
#191447772
#191447732
#191446922
#191446842
#191435662
#191434292
#191434222
C4×D8×D432
C43×#31792
#6149643