Finite Group Databasebeta

← #25979558

Subgroups — #25979558

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148671C211yesmaximal, characteristic, complemented
2#19148623C211yesmaximal, characteristic, complemented
3#19147632C211yesmaximal, characteristic, complemented
4#19147508C211yesmaximal, characteristic, complemented
5#19147264C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147063C211yesmaximal, characteristic, complemented
9#19147059C211yesmaximal, characteristic, complemented
10#19146541C211yesmaximal, characteristic, complemented
11#19146493C211yesmaximal, characteristic, complemented
12#19146414C211yesmaximal, characteristic, complemented
13#19146409C211yesmaximal, characteristic, complemented
14#19146403C211yesmaximal, characteristic, complemented
15#19146208C211yesmaximal, characteristic, complemented
16#19146091C211yesmaximal, characteristic, complemented
17#19146083C211yesmaximal, characteristic, complemented
18#19145277C211yesmaximal, characteristic, complemented
19#19145273C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144801C211yesmaximal, characteristic, complemented
22#19144787C211yesmaximal, characteristic, complemented
23#19144782C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144712C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143430C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C2×#14582984C211yesmaximal, characteristic, complemented
31C43×#3301C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583631—21no—
36#14583631C2211yescharacteristic, complemented
37Q8×Dic86C2211yescharacteristic, complemented
38#14583612C2211yescharacteristic
39#14583607—21no—
40#14583607C2211yescharacteristic, complemented
41#14583605C2211yescharacteristic
42#14583600—21no—
43#14583597C2211yescharacteristic
44#14583570C2211yescharacteristic
45#14583568C2211yescharacteristic, complemented
46#14583560C2211yescharacteristic, complemented
47#14583553—21no—
48#14583553C2211yescharacteristic, complemented
49#14583549—21no—
50#14583549C2211yescharacteristic, complemented
51#14583544—21no—
52#14583541—21no—
53#14583538—21no—
54D4×D172C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583533C2211yescharacteristic
57#14583522—21no—
58#14583522C2211yescharacteristic, complemented
59#14583518—21no—
60#14583518C2211yescharacteristic, complemented
61#14583505C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583488—21no—
64#14583485—21no—
65#14583444—21no—
66#14583444C2211yescharacteristic
67#14583444C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583408—21no—
71#121×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583381C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×Q8×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583246C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583223C2211yescharacteristic, complemented
91#14583221C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic, complemented
93#14583217C2211yescharacteristic, complemented
94#14583215C2211yescharacteristic, complemented
95#14583214C2211yescharacteristic, complemented
96#14583213C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583197C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583189C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic
106#14583188C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic
109#14583178C2211yescharacteristic
110#14583151C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583135C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic
121#14583117C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic
123#14583099C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic
129#14583093C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583049C2211yescharacteristic
132#14583048C2211yescharacteristic
133#14583047C2211yescharacteristic, complemented
134#14583047C2211yescharacteristic, complemented
135#14583044C2211yescharacteristic, complemented
136#14583038C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583035C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic
155#14582984C2211yescharacteristic
156#14582984C2211yescharacteristic
157#14582984C2211yescharacteristic
158#14582984C2211yescharacteristic
159#14582984C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165D8×Dic43C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180C2×#13063256C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182C2×#13063247C2211yescharacteristic
183C2×#13063247C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189C43×#548C2211yescharacteristic, complemented
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43—21no—
214C2×D4×D43C2311yescharacteristic
215C22×C4×D43—21no—
216#13063352—24no—
217#13063350—24no—
218C2×#10621884—24no—
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621877C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325—21no—
237#13063325C2311yescharacteristic
238#13063324—21no—
239#13063324—21no—
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063321—21no—
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320—21no—
250#13063320D411yescharacteristic
251#13063318—21no—
252#13063318D411yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314—21no—
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063309—21no—
270#13063309—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309—21no—
274#13063309D411yescharacteristic
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063306—21no—
280#13063306D411yescharacteristic
281#13063305—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063303—21no—
286#13063303—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302D411yescharacteristic
291#13063301—21no—
292#13063301C2311yescharacteristic
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297D411yescharacteristic
315#13063296—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063295—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063293—21no—
323#13063293—21no—
324Q8×Dic43—21no—
325Q8×Dic43—21no—
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371C2×C4⋊Dic43—21no—
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C2×C4⋊Dic43C2311yescharacteristic
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43—21no—
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43—21no—
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43C2411yescharacteristic
503C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43C2×D411yescharacteristic
524C22×Dic43C2×D411yescharacteristic
525#10621902—22no—
526#10621902—41no—
527#10621900—82no—
528#10621900—82no—
529#10621900—82no—
530#10621900—82no—
531D4×D43—22no—
532D4×D43—41no—
533D4×D43—82no—
534D4×D43—82no—
535D4×D43—82no—
536#10621898—82no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—22no—
545C2×D172—22no—
546C2×D172—41no—
547C2×D172—41no—
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
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—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—82no—
565C2×C4×D43C2411yescharacteristic
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86—21no—
569C2×Dic86—21no—
570C2×Dic86C2×D411yescharacteristic
571SD16×C43—22no—
572SD16×C43—41no—
573D8×C43—41no—
574C2×C8×C43—41no—
575C2×C8×C43—41no—
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43C2411yescharacteristic
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621884—22no—
612#10621884—22no—
613#10621884—22no—
614#10621884—22no—
615#10621884—41no—
616#10621884#4114yescomplemented
617#10621882—22no—
618#10621882—22no—
619#10621882—22no—
620#10621882—41no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
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)⋊C4—21no—
640(C2×D43)⋊C4—21no—
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⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43C2×D411yescharacteristic
655C4⋊Dic43C2×D411yescharacteristic
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673C4×Dic43—21no—
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
683C4×Dic43C2411yescharacteristic
684#10621877—22no—
685C2×C43⋊C8—22no—
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690D344—22no—
691D344—41no—
692D344—41no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43C22×D411yescharacteristic
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—42no—
717Q8×C43C2×#4112yes—
718D4×C43—22no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—42no—
726D4×C43—81no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
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—42no—
738C2×C4×C43—42no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
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—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C2×Dic43—22no—
761C2×Dic43—22no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—42no—
786D172—42no—
787D172—42no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172C2×#4112yes—
793C4×D43—21no—
794C4×D43—21no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807Dic86—22no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8C2×#4112yes—
820#61498—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43#57612yes—
833C22×C43C23×D411yescharacteristic
834C2×D43—22no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—84no—
850C2×D43—162no—
851C2×D43—162no—
852C4×C43—22no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301D4311yescharacteristic, complemented
887#3295—431no—
888#3294—431no—
889#3294—431no—
890#3274—431no—
891#3265—431no—
892#3265—431no—
893#3179—431no—
894#3179—431no—
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—22no—
907C2×C43—41no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—41no—
914D43—42no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C22×SD16—431no—
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—861no—
930#553C2×D4311yescharacteristic
931#550—431no—
932#550—431no—
933#548—431no—
934#548C2×D4311yescharacteristic, complemented
935#547—431no—
936#547—431no—
937#547—861no—
938#547—861no—
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42—431no—
945#542—431no—
946#542—431no—
947#542—861no—
948#542—861no—
949#540—431no—
950#540—431no—
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520—431no—
962#518—431no—
963#518—431no—
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501—431no—
968#500—431no—
969#496—431no—
970#496—431no—
971#493—431no—
972#488—431no—
973#488C2×D4311yescharacteristic, complemented
974#486—431no—
975#486—431no—
976#486—431no—
977#486—431no—
978#485—431no—
979#485C2×D4311yescharacteristic, complemented
980#482—431no—
981#482—431no—
982#481—431no—
983#481—431no—
984#481—431no—
985#481C2×D4311yescharacteristic, complemented
986#480—431no—
987#480—431no—
988#480—431no—
989#480—431no—
990#479—431no—
991#479C2×D4311yescharacteristic, complemented
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476—431no—
1000#474—431no—
1001#474—431no—
1002#469—431no—
1003#469—431no—
1004#468—431no—
1005#468—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466C2×D4311yescharacteristic, complemented
1012#465—431no—
1013#465C2×D4311yescharacteristic, complemented
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463C2×D4311yescharacteristic, complemented
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#450—431no—
1027#450—431no—
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449C2×D4311yescharacteristic, complemented
1032#448—431no—
1033#448C2×D4311yescharacteristic, complemented
1034#447—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16—431no—
1061C4×SD16C2×D4311yescharacteristic, complemented
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068#436—431no—
1069#435—431no—
1070#435—431no—
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4C2×D4311yescharacteristic, complemented
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428—431no—
1079C2×#106—431no—
1080#416—431no—
1081#416C2×D4311yescharacteristic, complemented
1082C2×#103C2×D4311yescharacteristic, complemented
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086#405—431no—
1087#405—431no—
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—861no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41C22×D4311yescharacteristic
1097C22×Q8C22×D4311yescharacteristic
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
1104C23×C4—861no—
1105AGL(1,ℤ/8)—864no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—864no—
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—431no—
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16—431no—
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8C22×D4311yescharacteristic
1129C22×C8C22×D4311yescharacteristic
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8—861no—
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—431no—
1141#127—861no—
1142#126—21no—
1143#126—431no—
1144#126—431no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—861no—
1151#125C22×D4311yescharacteristic
1152#124—21no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124C22×D4311yescharacteristic
1164#123—21no—
1165#123—431no—
1166#123—431no—
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—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—21no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1194#121—21no—
1195#121—21no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—861no—
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#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#121C22×D4311yescharacteristic
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—861no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8C22×D4311yescharacteristic
1240C4×D4—21no—
1241C4×D4—21no—
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—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
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×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4—861no—
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282#117C22×D4311yescharacteristic
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×C4⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103C22×D4311yescharacteristic
1323#103C22×D4311yescharacteristic
1324#103C22×D4311yescharacteristic
1325#103C22×D4311yescharacteristic
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#102—431no—
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#102—431no—
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8C22×D4311yescharacteristic
1357C22⋊C8C22×D4311yescharacteristic
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C24—861no—
1369C24—861no—
1370C24—861no—
1371#41—22no—
1372#41—41no—
1373#41—862no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—22no—
1382C2×Q8—41no—
1383C2×Q8—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—861no—
1388C2×Q8C23×D4311yescharacteristic
1389C2×Q8C23×D4311yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—862no—
1401C2×D4—862no—
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—861no—
1411C2×D4—861no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—3442no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—1721no—
1426C2×D4—1721no—
1427C2×D4—1721no—
1428C2×D4D4×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
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—861no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458SD16—22no—
1459SD16—41no—
1460SD16—434no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—862no—
1465SD16—1721no—
1466D8—41no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—862no—
1475M16—862no—
1476C2×C8—41no—
1477C2×C8—41no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—431no—
1482C2×C8—862no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
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—431no—
1505C4⋊C4—431no—
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⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—21no—
1569C42—21no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—431no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—3441no—
1590C23—3441no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—1722no—
1595C23—1722no—
1596C23—1722no—
1597C23—1722no—
1598C23C2×D4×D4311yescharacteristic
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—42no—
1604Q8—862no—
1605Q8—3441no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8#41×D4312yes—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—81no—
1619D4—432no—
1620D4—862no—
1621D4—862no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
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—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—431no—
1669C2×C4—862no—
1670C2×C4—862no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
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—3441no—
1689C2×C4—3441no—
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×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—432no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—861no—
1719C22—861no—
1720C22—861no—
1721C22—862no—
1722C22—3444no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—6882no—
1735C22—6882no—
1736C22#1458370112yes—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—22no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4#1458373411yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—3441no—
1766C2—3441no—
1767C2—3441no—
1768C2—1721no—
1769C2—1722no—
1770C2#1914807911yescharacteristic
1771C2C2×#1458370111yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3301C2
socleC22×C43C23×D4
hypercenter#3301D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #19148671C2semidirect
2. #19148623C2semidirect
3. #19147632C2semidirect
4. #19147508C2semidirect
5. #19147264C2semidirect
6. #19147252C2semidirect
7. #19147219C2semidirect
8. #19147063C2semidirect
9. #19147059C2semidirect
10. #19146541C2semidirect
11. #19146493C2semidirect
12. #19146414C2semidirect
13. #19146409C2semidirect
14. #19146403C2semidirect
15. #19146208C2semidirect
16. #19146091C2semidirect
17. #19146083C2semidirect
18. #19145277C2semidirect
19. #19145273C2semidirect
20. #19145169C2semidirect
21. #19144801C2semidirect
22. #19144787C2semidirect
23. #19144782C2semidirect
24. #19144776C2semidirect
25. #19144712C2semidirect
26. #19144683C2semidirect
27. #19143563C2semidirect
28. #19143430C2semidirect
29. #19143422C2semidirect
30. C2×#14582984C2semidirect
31. C43×#3301C2semidirect
36. #14583631C22semidirect
37. Q8×Dic86C22semidirect
40. #14583607C22semidirect
45. #14583568C22semidirect
46. #14583560C22semidirect
48. #14583553C22semidirect
50. #14583549C22semidirect
58. #14583522C22semidirect
60. #14583518C22semidirect
67. #14583444C22semidirect
72. #14583382C22semidirect
73. #14583381C22semidirect
76. C2×Q8×Dic43C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
83. #14583274C22semidirect
84. #14583255C22semidirect
85. #14583246C22semidirect
86. #14583244C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583239C22semidirect
90. #14583223C22semidirect
91. #14583221C22semidirect
92. #14583219C22semidirect
93. #14583217C22semidirect
94. #14583215C22semidirect
95. #14583214C22semidirect
96. #14583213C22semidirect
97. #14583213C22semidirect
98. #14583210C22semidirect
99. #14583208C22semidirect
100. #14583197C22semidirect
101. #14583196C22semidirect
102. #14583192C22semidirect
103. #14583192C22semidirect
104. #14583189C22semidirect
106. #14583188C22semidirect
107. #14583188C22semidirect
110. #14583151C22semidirect
111. #14583150C22semidirect
112. #14583148C22semidirect
113. #14583147C22semidirect
114. #14583135C22semidirect
115. #14583135C22semidirect
116. #14583134C22semidirect
117. #14583133C22semidirect
118. #14583133C22semidirect
119. #14583131C22semidirect
121. #14583117C22semidirect
123. #14583099C22semidirect
124. #14583097C22semidirect
125. #14583097C22semidirect
126. #14583097C22semidirect
127. #14583095C22semidirect
129. #14583093C22semidirect
130. #14583092C22semidirect
133. #14583047C22semidirect
134. #14583047C22semidirect
135. #14583044C22semidirect
136. #14583038C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
144. #14583010C22semidirect
145. #14583009C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
150. #14583002C22semidirect
151. #14583002C22semidirect
152. #14583000C22semidirect
153. #14583000C22semidirect
159. #14582984C22semidirect
160. #14582984C22semidirect
161. #14582984C22semidirect
162. #14582984C22semidirect
163. #14582984C22semidirect
165. D8×Dic43C22semidirect
166. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
172. #14582967C22semidirect
173. C8×C22⋊D43C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
180. C2×#13063256C22semidirect
181. #14582894C22semidirect
185. #14582854C22semidirect
186. #14582853C22semidirect
187. C2×C8×Dic43C22semidirect
189. C43×#548C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#481C22semidirect
193. C43×#479C22semidirect
194. C43×#466C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C2×#103×C43C22semidirect
616. #10621884#41semidirect
886. #3301D43semidirect
934. #548C2×D43semidirect
973. #488C2×D43semidirect
979. #485C2×D43semidirect
985. #481C2×D43semidirect
991. #479C2×D43semidirect
1011. #466C2×D43semidirect
1013. #465C2×D43semidirect
1017. #463C2×D43semidirect
1031. #449C2×D43semidirect
1033. #448C2×D43semidirect
1061. C4×SD16C2×D43semidirect
1073. C8×D4C2×D43semidirect
1081. #416C2×D43semidirect
1082. C2×#103C2×D43semidirect
1089. C43#61498semidirect

Maximal subgroups

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

subgroupindex
#191486712
#191486232
#191476322
#191475082
#191472642
#191472522
#191472192
#191470632
#191470592
#191465412
#191464932
#191464142
#191464092
#191464032
#191462082
#191460912
#191460832
#191452772
#191452732
#191451692
#191448012
#191447872
#191447822
#191447762
#191447122
#191446832
#191435632
#191434302
#191434222
C2×#145829842
C43×#33012
#6149843