Finite Group Databasebeta

← #25975716

Subgroups — #25975716

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148326C211yesmaximal, characteristic, complemented
2#19148295C211yesmaximal, characteristic, complemented
3#19147223C211yesmaximal, characteristic, complemented
4#19147219C211yesmaximal, characteristic, complemented
5#19147199C211yesmaximal, characteristic, complemented
6#19147194C211yesmaximal, characteristic, complemented
7#19147092C211yesmaximal, characteristic, complemented
8#19147091C211yesmaximal, characteristic, complemented
9#19147087C211yesmaximal, characteristic, complemented
10#19147086C211yesmaximal, characteristic, complemented
11#19147061C211yesmaximal, characteristic, complemented
12#19147059C211yesmaximal, characteristic, complemented
13#19147041C211yesmaximal, characteristic, complemented
14#19147035C211yesmaximal, characteristic, complemented
15#19146972C211yesmaximal, characteristic, complemented
16#19146943C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145132C211yesmaximal, characteristic, complemented
19#19144576C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144511C211yesmaximal, characteristic, complemented
22#480×D43C211yesmaximal, characteristic, complemented
23#19144449C211yesmaximal, characteristic, complemented
24#19144423C211yesmaximal, characteristic, complemented
25#19144268C211yesmaximal, characteristic, complemented
26#19144207C211yesmaximal, characteristic, complemented
27#19143422C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143192C211yesmaximal, characteristic, complemented
30C2×#14582938C211yesmaximal, characteristic, complemented
31C43×#3337C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×#10621872C2211yescharacteristic
35#14583614C2211yescharacteristic
36#14583612C2211yescharacteristic
37#14583609C2211yescharacteristic, complemented
38#14583607C2211yescharacteristic, complemented
39#14583605—21no—
40#14583602C2211yescharacteristic
41#14583602C2211yescharacteristic, complemented
42#14583601C2211yescharacteristic
43#14583600—21no—
44#14583597C2211yescharacteristic
45#14583593C2211yescharacteristic, complemented
46#14583591C2211yescharacteristic, complemented
47#14583582—21no—
48#14583574—21no—
49#14583572—21no—
50#14583553C2211yescharacteristic
51#14583553C2211yescharacteristic, complemented
52#14583550C2211yescharacteristic, complemented
53#14583549C2211yescharacteristic
54#14583547—21no—
55#14583544—21no—
56#14583538—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583515—21no—
60#14583501—21no—
61#14583497—21no—
62#14583490—21no—
63#14583479C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583444—21no—
66#14583429—21no—
67#14583412C2211yescharacteristic
68#14583411—21no—
69#14583408C2211yescharacteristic
70#14583407—21no—
71#121×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583304C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583232C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583217C2211yescharacteristic, complemented
100#14583215C2211yescharacteristic, complemented
101#14583214C2211yescharacteristic
102#14583214C2211yescharacteristic
103#14583214C2211yescharacteristic, complemented
104#14583213C2211yescharacteristic
105#14583213C2211yescharacteristic, complemented
106#14583213C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic, complemented
108#14583212C2211yescharacteristic
109#14583211C2211yescharacteristic
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic
113#14583208C2211yescharacteristic, complemented
114#14583202C2211yescharacteristic, complemented
115#14583198C2211yescharacteristic, complemented
116#14583197C2211yescharacteristic, complemented
117#14583196C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583194C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583189C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583180C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic
128#14583153C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic
130#14583150C2211yescharacteristic, complemented
131#14583148C2211yescharacteristic
132#14583147C2211yescharacteristic, complemented
133#14583142C2211yescharacteristic
134#14583142C2211yescharacteristic, complemented
135#14583135C2211yescharacteristic
136#14583135C2211yescharacteristic, complemented
137#14583134C2211yescharacteristic, complemented
138#14583133C2211yescharacteristic
139#14583131C2211yescharacteristic, complemented
140#14583130C2211yescharacteristic
141#14583010C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583000C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582984C2211yescharacteristic, complemented
146C4×D344C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582971C2211yescharacteristic, complemented
151#14582970C2211yescharacteristic, complemented
152#14582970C2211yescharacteristic, complemented
153#14582969C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic
158#14582938C2211yescharacteristic
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic
162#14582938C2211yescharacteristic, complemented
163#14582938C2211yescharacteristic, complemented
164#14582938C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582938C2211yescharacteristic, complemented
168#14582936C2211yescharacteristic
169#14582936C2211yescharacteristic
170#14582936C2211yescharacteristic, complemented
171C2×#13063259C2211yescharacteristic, complemented
172C2×#13063259C2211yescharacteristic, complemented
173C2×#13063258C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177C2×#13063256C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43C2311yescharacteristic
213#13063352—24no—
214C2×#10621884C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063331—24no—
218C2×#10621877C2311yescharacteristic
219C2×#10621872—24no—
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063321—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063318—21no—
242#13063317—21no—
243#13063316—21no—
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063313—21no—
250#13063311—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310D411yescharacteristic
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307D411yescharacteristic
270#13063306—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303D411yescharacteristic
283#13063302—21no—
284#13063302—21no—
285#13063302D411yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299—21no—
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298D411yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063295—21no—
314#13063295D411yescharacteristic
315#13063293—21no—
316#13063293D411yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328D4×Dic43—21no—
329D4×Dic43C2311yescharacteristic
330#13063287—21no—
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287C2311yescharacteristic
335#13063287C2311yescharacteristic
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43C2311yescharacteristic
339C4×C22⋊D43C2311yescharacteristic
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282C2311yescharacteristic
360#13063281—21no—
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×Dic43⋊C4—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C2×C4×Dic43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510#10621902—22no—
511#10621902—22no—
512#10621900—82no—
513#10621900—82no—
514#10621900—82no—
515D4×D43—22no—
516D4×D43—22no—
517D4×D43—82no—
518#10621898—22no—
519#10621898—22no—
520#10621898—82no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172C2×D411yescharacteristic
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—82no—
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×C4×D43C2411yescharacteristic
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86C2×D411yescharacteristic
555SD16×C43—22no—
556C2×C8×C43—22no—
557C2×C8×C43—22no—
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43C2×D411yescharacteristic
586C22⋊C4×C43C2×D411yescharacteristic
587C42×C43—21no—
588C42×C43—21no—
589C42×C43—21no—
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621884—22no—
597#10621882—22no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872—22no—
678#10621872#4114yescomplemented
679C8×D43—22no—
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—22no—
686C22×D43—22no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—42no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43C22×D411yescharacteristic
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698D4×C43—22no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—42no—
702D4×C43—81no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—42no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—41no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C2×Dic43—22no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—42no—
741C2×Dic43—42no—
742C2×Dic43—81no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—22no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—41no—
756D172—42no—
757D172—42no—
758D172—81no—
759D172—81no—
760D172—81no—
761C4×D43—22no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—22no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43C2×#4112yes—
780C4×D432−1+412yes—
781Dic86—22no—
782Dic86—81no—
783Dic86—81no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61270—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43#57612yes—
804C22×C43C23×D411yescharacteristic
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—44no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C2×D43#54712yes—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43C2×2−1+411yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#54712yes—
846#3494—431no—
847#3492—431no—
848#3357—431no—
849#3357—431no—
850#3355—431no—
851#3355—431no—
852#3347—431no—
853#3347—431no—
854#3346—431no—
855#3346—431no—
856#3345—431no—
857#3345—431no—
858#3343—431no—
859#3343—431no—
860#3337—431no—
861#3337D4311yescharacteristic, complemented
862#3334—431no—
863#3334—431no—
864#3164—431no—
865#3098—431no—
866#3096—431no—
867#3091—431no—
868C2×#480—431no—
869#3083—431no—
870#3081—431no—
871#3062—431no—
872#3055—431no—
873#2946—431no—
874#2933—431no—
875#2913—431no—
876C2×#428—431no—
877C2×C43—22no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43C2×#54711yescharacteristic
881C2×C43C2×#57611yescharacteristic
882C2×C43#358611yescharacteristic
883D43—22no—
884D43—41no—
885D43—41no—
886D43—81no—
887D43—81no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#131—431no—
890C22×M16—431no—
891#555—431no—
892#555—431no—
893#554—431no—
894#554—431no—
895#554—861no—
896#553—431no—
897#553—431no—
898#553—431no—
899#553—431no—
900#553—431no—
901#553—861no—
902#553C2×D4311yescharacteristic
903#552—431no—
904#552—861no—
905#552C2×D4311yescharacteristic, complemented
906#551—861no—
907#551—861no—
908#547—431no—
909#547—431no—
910#547—431no—
911#547—431no—
912#547—861no—
913#546—861no—
914#546—861no—
915#544—431no—
916#544—431no—
917#542—861no—
918#540—861no—
919#539—861no—
920#539—861no—
921#537—431no—
922#535—431no—
923#532—861no—
924#529—861no—
925#525—431no—
926#525—431no—
927#525—861no—
928#525—861no—
929C2×#121—431no—
930#520—431no—
931#520—431no—
932#520—431no—
933#518—431no—
934C2×#117—431no—
935C22×C4⋊C4—431no—
936#501—431no—
937#501—431no—
938#501—431no—
939#501—431no—
940#500—431no—
941#500—431no—
942#499—431no—
943#499C2×D4311yescharacteristic, complemented
944#485—431no—
945#485—431no—
946#485—431no—
947#485C2×D4311yescharacteristic, complemented
948#484—431no—
949#484—431no—
950#484C2×D4311yescharacteristic, complemented
951#483—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482C2×D4311yescharacteristic, complemented
960#481—431no—
961#481—431no—
962#481—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480—431no—
975#480C2×D4311yescharacteristic
976#479—431no—
977#479C2×D4311yescharacteristic, complemented
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478C2×D4311yescharacteristic, complemented
984#477—431no—
985#477—431no—
986#476—431no—
987#476—431no—
988#474—431no—
989#474—431no—
990#474—431no—
991#474—431no—
992#469—431no—
993#469—431no—
994#469—431no—
995#469—431no—
996#468—431no—
997#468—431no—
998#468—431no—
999#468—431no—
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#466—431no—
1004#465—431no—
1005#465—431no—
1006#465C2×D4311yescharacteristic
1007#465C2×D4311yescharacteristic, complemented
1008#442—431no—
1009#442—431no—
1010#440—431no—
1011#440—431no—
1012C4×SD16—431no—
1013C4×SD16C2×D4311yescharacteristic, complemented
1014C4×D8—431no—
1015C4×D8—431no—
1016#436—431no—
1017#436—431no—
1018#435—431no—
1019#435—431no—
1020#435—431no—
1021#435—431no—
1022C8×D4—431no—
1023C8×D4C2×D4311yescharacteristic, complemented
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427C2×D4311yescharacteristic, complemented
1041C2×#107—431no—
1042C2×#107—431no—
1043C2×#107—431no—
1044C2×#107—431no—
1045C2×#107—431no—
1046C2×#107—431no—
1047C2×#106—431no—
1048C2×#106C2×D4311yescharacteristic, complemented
1049#424—431no—
1050#418—431no—
1051#417—431no—
1052#416—431no—
1053#416—431no—
1054C2×#102—431no—
1055C2×#102—431no—
1056#408—431no—
1057C2×C22⋊C8—431no—
1058#405—431no—
1059C43#6127011yescharacteristic, complemented, Sylow
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41—861no—
1064C2×#41—861no—
1065C2×#41—861no—
1066C22×D4—431no—
1067C22×D4—861no—
1068C23×C4—431no—
1069C23×C4—861no—
1070AGL(1,ℤ/8)—864no—
1071C2×SD16—431no—
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075#131—864no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16—431no—
1082C2×M16—864no—
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8C22×D4311yescharacteristic
1088C22×C8C22×D4311yescharacteristic
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—861no—
1094C4⋊Q8—861no—
1095#127—861no—
1096#126—21no—
1097#126—21no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—21no—
1105#125—431no—
1106#125—431no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125C22×D4311yescharacteristic
1113#125C22×D4311yescharacteristic
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—21no—
1120#123—21no—
1121#123—431no—
1122#123—431no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8C22×D4311yescharacteristic
1156C22⋊Q8C22×D4311yescharacteristic
1157#121—21no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121C22×D4311yescharacteristic
1183#121C22×D4311yescharacteristic
1184#120—431no—
1185#120—431no—
1186#120—861no—
1187#120—861no—
1188#120—861no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8C22×D4311yescharacteristic
1193C4×D4—21no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223#117—21no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117C22×D4311yescharacteristic
1239#117C22×D4311yescharacteristic
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C42—861no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107—431no—
1279#107—431no—
1280#107C22×D4311yescharacteristic
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#107C22×D4311yescharacteristic
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106C22×D4311yescharacteristic
1294#106C22×D4311yescharacteristic
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8C22×D4311yescharacteristic
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103C22×D4311yescharacteristic
1306#103C22×D4311yescharacteristic
1307#103C22×D4311yescharacteristic
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8C22×D4311yescharacteristic
1333C22⋊C8C22×D4311yescharacteristic
1334#97—431no—
1335#97—431no—
1336C4×C8—431no—
1337C4×C8C22×D4311yescharacteristic
1338C24—431no—
1339C24—861no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8C23×D4311yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4D4×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—862no—
1391C22×C4—862no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—3442no—
1410C22×C4C23×D4311yescharacteristic
1411C22×C4C23×D4311yescharacteristic
1412SD16—22no—
1413SD16—862no—
1414D8—862no—
1415D8—862no—
1416M16—434no—
1417M16—862no—
1418M16—862no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422C2×C8—22no—
1423C2×C8—22no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8—862no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4D4×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C23×D4311yescharacteristic
1539C23—21no—
1540C23—431no—
1541C23—431no—
1542C23—431no—
1543C23—862no—
1544C23—862no—
1545C23—861no—
1546C23—861no—
1547C23—3441no—
1548C23—3441no—
1549C23—1721no—
1550C23—1722no—
1551C23C2×D4×D4311yescharacteristic
1552C23C2×D4×D4311yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—862no—
1556Q8—3441no—
1557Q8—3441no—
1558Q8—3441no—
1559Q8—3441no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—81no—
1565D4—862no—
1566D4—862no—
1567D4—862no—
1568D4—862no—
1569D4—861no—
1570D4—861no—
1571D4—861no—
1572D4—861no—
1573D4—3441no—
1574D4—3441no—
1575D4—3441no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—1721no—
1581D4—1722no—
1582D4—1722no—
1583D4—1722no—
1584D4—1721no—
1585D4—1722no—
1586D4—1722no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—42no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—431no—
1602C2×C4—432no—
1603C2×C4—432no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—862no—
1609C2×C4—862no—
1610C2×C4—862no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—432no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—432no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—1724no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—6882no—
1676C22#1458370112yes—
1677C22C22×D4×D4311yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—432no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C4C2×#41×D4311yescharacteristic
1701C42−1+4×D4311yescharacteristic
1702C2—22no—
1703C2—41no—
1704C2—81no—
1705C2—862no—
1706C2—3441no—
1707C2—3441no—
1708C2—1721no—
1709C2—1721no—
1710C2#547×D4311yescharacteristic
1711C2C2×#1458370111yescharacteristic
1712C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3337C2
socleC22×C43C23×D4
hypercenter#3337D43
hypocenterC43#61270
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #19148326C2semidirect
2. #19148295C2semidirect
3. #19147223C2semidirect
4. #19147219C2semidirect
5. #19147199C2semidirect
6. #19147194C2semidirect
7. #19147092C2semidirect
8. #19147091C2semidirect
9. #19147087C2semidirect
10. #19147086C2semidirect
11. #19147061C2semidirect
12. #19147059C2semidirect
13. #19147041C2semidirect
14. #19147035C2semidirect
15. #19146972C2semidirect
16. #19146943C2semidirect
17. #19146937C2semidirect
18. #19145132C2semidirect
19. #19144576C2semidirect
20. #19144550C2semidirect
21. #19144511C2semidirect
22. #480×D43C2semidirect
23. #19144449C2semidirect
24. #19144423C2semidirect
25. #19144268C2semidirect
26. #19144207C2semidirect
27. #19143422C2semidirect
28. #19143315C2semidirect
29. #19143192C2semidirect
30. C2×#14582938C2semidirect
31. C43×#3337C2semidirect
37. #14583609C22semidirect
38. #14583607C22semidirect
41. #14583602C22semidirect
45. #14583593C22semidirect
46. #14583591C22semidirect
51. #14583553C22semidirect
52. #14583550C22semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583304C22semidirect
83. #14583303C22semidirect
84. #14583300C22semidirect
85. #14583239C22semidirect
86. #14583239C22semidirect
87. #14583239C22semidirect
88. #14583233C22semidirect
89. #14583232C22semidirect
90. #14583227C22semidirect
91. #14583226C22semidirect
92. #14583226C22semidirect
93. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583223C22semidirect
96. #14583223C22semidirect
97. #14583221C22semidirect
98. #14583219C22semidirect
99. #14583217C22semidirect
100. #14583215C22semidirect
103. #14583214C22semidirect
105. #14583213C22semidirect
106. #14583213C22semidirect
107. #14583213C22semidirect
111. #14583211C22semidirect
113. #14583208C22semidirect
114. #14583202C22semidirect
115. #14583198C22semidirect
116. #14583197C22semidirect
117. #14583196C22semidirect
118. #14583196C22semidirect
119. #14583194C22semidirect
120. #14583192C22semidirect
121. #14583189C22semidirect
122. #14583188C22semidirect
123. #14583180C22semidirect
124. #14583180C22semidirect
125. #14583178C22semidirect
126. #14583177C22semidirect
128. #14583153C22semidirect
130. #14583150C22semidirect
132. #14583147C22semidirect
134. #14583142C22semidirect
136. #14583135C22semidirect
137. #14583134C22semidirect
139. #14583131C22semidirect
141. #14583010C22semidirect
142. #14583009C22semidirect
143. #14583000C22semidirect
144. #14582997C22semidirect
145. #14582984C22semidirect
146. C4×D344C22semidirect
147. #14582979C22semidirect
148. #14582978C22semidirect
149. #14582974C22semidirect
150. #14582971C22semidirect
151. #14582970C22semidirect
152. #14582970C22semidirect
153. #14582969C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
162. #14582938C22semidirect
163. #14582938C22semidirect
164. #14582938C22semidirect
165. #14582938C22semidirect
166. #14582938C22semidirect
167. #14582938C22semidirect
170. #14582936C22semidirect
171. C2×#13063259C22semidirect
172. C2×#13063259C22semidirect
173. C2×#13063258C22semidirect
176. #107×D43C22semidirect
177. C2×#13063256C22semidirect
189. C43×#552C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#484C22semidirect
193. C43×#482C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C2×#106×C43C22semidirect
678. #10621872#41semidirect
861. #3337D43semidirect
905. #552C2×D43semidirect
943. #499C2×D43semidirect
947. #485C2×D43semidirect
950. #484C2×D43semidirect
959. #482C2×D43semidirect
977. #479C2×D43semidirect
983. #478C2×D43semidirect
1007. #465C2×D43semidirect
1013. C4×SD16C2×D43semidirect
1023. C8×D4C2×D43semidirect
1040. #427C2×D43semidirect
1048. C2×#106C2×D43semidirect
1059. C43#61270semidirect

Maximal subgroups

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

subgroupindex
#191483262
#191482952
#191472232
#191472192
#191471992
#191471942
#191470922
#191470912
#191470872
#191470862
#191470612
#191470592
#191470412
#191470352
#191469722
#191469432
#191469372
#191451322
#191445762
#191445502
#191445112
#480×D432
#191444492
#191444232
#191442682
#191442072
#191434222
#191433152
#191431922
C2×#145829382
C43×#33372
#6127043