Finite Group Databasebeta

← #25979823

Subgroups — #25979823

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148602C211yesmaximal, characteristic, complemented
2#19148534C211yesmaximal, characteristic, complemented
3#19147633C211yesmaximal, characteristic, complemented
4#19147534C211yesmaximal, characteristic, complemented
5#19147304C211yesmaximal, characteristic, complemented
6#19147152C211yesmaximal, characteristic, complemented
7#19147072C211yesmaximal, characteristic, complemented
8#19147062C211yesmaximal, characteristic, complemented
9#19146924C211yesmaximal, characteristic, complemented
10#19146795C211yesmaximal, characteristic, complemented
11#19146735C211yesmaximal, characteristic, complemented
12#19146726C211yesmaximal, characteristic, complemented
13#19146606C211yesmaximal, characteristic, complemented
14#19146555C211yesmaximal, characteristic, complemented
15#19146210C211yesmaximal, characteristic, complemented
16#19146130C211yesmaximal, characteristic, complemented
17#19146130C211yesmaximal, characteristic, complemented
18#19145277C211yesmaximal, characteristic, complemented
19#19145244C211yesmaximal, characteristic, complemented
20#19145193C211yesmaximal, characteristic, complemented
21#19144871C211yesmaximal, characteristic, complemented
22#19144840C211yesmaximal, characteristic, complemented
23#19144801C211yesmaximal, characteristic, complemented
24#19144793C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144688C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143475C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3371C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583609C2211yescharacteristic
36#14583602—21no—
37#14583602—21no—
38#14583602C2211yescharacteristic
39#14583602C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583594—21no—
42#14583590C2211yescharacteristic
43#14583579—21no—
44#14583578—21no—
45#14583571—21no—
46#14583571C2211yescharacteristic
47#14583571C2211yescharacteristic, complemented
48#14583571C2211yescharacteristic, complemented
49#14583571C2211yescharacteristic, complemented
50#14583554C2211yescharacteristic
51#14583552—21no—
52#14583552C2211yescharacteristic, complemented
53#14583542C2211yescharacteristic
54#14583542C2211yescharacteristic
55#14583541—21no—
56#14583534C2211yescharacteristic
57#14583518C2211yescharacteristic
58#14583505—21no—
59#14583505—21no—
60#14583505C2211yescharacteristic, complemented
61#14583505C2211yescharacteristic, complemented
62#14583503C2211yescharacteristic
63#14583492—21no—
64#14583483—21no—
65#14583450—21no—
66#14583450C2211yescharacteristic, complemented
67#14583436—21no—
68#14583436C2211yescharacteristic
69#14583428C2211yescharacteristic
70#14583408—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic, complemented
74#14583381C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic, complemented
83#14583275C2211yescharacteristic
84#14583264C2211yescharacteristic, complemented
85#14583264C2211yescharacteristic, complemented
86#14583246C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583228C2211yescharacteristic, complemented
89#14583226C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic
92#14583219C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583219C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583216C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583206C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583200C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic
104#14583196C2211yescharacteristic
105#14583190C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic
107#14583184C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic
109#14583151C2211yescharacteristic
110#14583151C2211yescharacteristic
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic
117#14583134C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583111C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583099C2211yescharacteristic, complemented
123#14583095C2211yescharacteristic
124#14583095C2211yescharacteristic
125#14583095C2211yescharacteristic
126#14583094C2211yescharacteristic, complemented
127#14583094C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583060C2211yescharacteristic, complemented
130#14583060C2211yescharacteristic, complemented
131#14583047C2211yescharacteristic
132#14583047C2211yescharacteristic
133#14583043C2211yescharacteristic
134#14583043C2211yescharacteristic
135#14583043C2211yescharacteristic, complemented
136#14583043C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583006C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic
155#14582997C2211yescharacteristic
156SD16×Dic43C2211yescharacteristic, complemented
157C4×#10621884C2211yescharacteristic
158C4×#10621884C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic
160#14582984C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic
163#14582981C2211yescharacteristic
164#14582979C2211yescharacteristic, complemented
165#14582979C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic
169#14582972C2211yescharacteristic
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic, complemented
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic, complemented
190C43×#490C2211yescharacteristic
191C43×#489C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063352—24no—
216#13063352—24no—
217#13063348—24no—
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063322—21no—
239#13063322—21no—
240#13063322—21no—
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320D411yescharacteristic
247#13063320D411yescharacteristic
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063317C2311yescharacteristic
253#13063317C2311yescharacteristic
254#13063316D411yescharacteristic
255#13063315—21no—
256#13063314—21no—
257#13063314D411yescharacteristic
258#13063311—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310D411yescharacteristic
269#13063310D411yescharacteristic
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063306—21no—
278#13063306—21no—
279#13063304—21no—
280#13063303—21no—
281#13063303—21no—
282#13063302—21no—
283#13063301—21no—
284#13063301—21no—
285#13063301D411yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300—21no—
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300D411yescharacteristic
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063297—21no—
315#13063297—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063295—21no—
323#13063293—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063281—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C4⋊Q8×C43—21no—
442C4⋊Q8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#123×C43—21no—
452#123×C43—21no—
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501#10621902—22no—
502#10621902—22no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507#10621902—41no—
508#10621902—41no—
509#10621902—82no—
510#10621902—82no—
511#10621902—82no—
512D4×D43—22no—
513D4×D43—22no—
514D4×D43—41no—
515D4×D43—41no—
516D4×D43—82no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172C2×D411yescharacteristic
535C2×D172C2×D411yescharacteristic
536C2×D172C2×D411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—82no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566Q16×C43—22no—
567SD16×C43—22no—
568SD16×C43—22no—
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C42×C43—21no—
596C42×C43—21no—
597C42×C43—21no—
598C42×C43—21no—
599C42×C43C2411yescharacteristic
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608#10621884—22no—
609#10621884—41no—
610#10621884—41no—
611#10621884#4114yescomplemented
612#10621882—22no—
613#10621882—22no—
614#10621882—41no—
615#10621882—41no—
616#10621882—41no—
617#10621882—41no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2×D411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683D344—22no—
684D344—22no—
685D344—22no—
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—81no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43C22×D411yescharacteristic
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—21no—
710Q8×C43—41no—
711Q8×C43—42no—
712Q8×C43C2×#4112yes—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—81no—
718D4×C43—81no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—21no—
758D172—41no—
759D172—41no—
760D172—41no—
761D172—42no—
762D172—42no—
763D172—42no—
764D172—42no—
765D172—42no—
766D172—81no—
767D172—81no—
768D172—81no—
769D172—81no—
770D172—81no—
771D172—81no—
772D172—81no—
773D172—81no—
774D172—81no—
775D172—81no—
776D172—81no—
777D172C2×#4112yes—
778C4×D43—21no—
779C4×D43—21no—
780C4×D43—21no—
781C4×D43—21no—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—41no—
785C4×D43—41no—
786C4×D43—42no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61507—431nomaximal, Sylow
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43C23×D411yescharacteristic
821C2×D43—21no—
822C2×D43—21no—
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—22no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—22no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371D4311yescharacteristic, complemented
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—81no—
899C2×C43—81no—
900C2×C43D4×#4111yescharacteristic
901C2×C43#358511yescharacteristic
902C2×C43#358511yescharacteristic
903D43—41no—
904D43—41no—
905D43—41no—
906D43—42no—
907D43—81no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559C2×D4311yescharacteristic
914#557C2×D4311yescharacteristic, complemented
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490C2×D4311yescharacteristic
967#489C2×D4311yescharacteristic, complemented
968#488C2×D4311yescharacteristic, complemented
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic, complemented
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#464C2×D4311yescharacteristic, complemented
1007#464C2×D4311yescharacteristic, complemented
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460C2×D4311yescharacteristic
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446C2×D4311yescharacteristic, complemented
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441C2×D4311yescharacteristic, complemented
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic, complemented
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16C22×D4311yescharacteristic
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—21no—
1120C4⋊Q8—431no—
1121C4⋊Q8C22×D4311yescharacteristic
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—21no—
1138#125—21no—
1139#125—431no—
1140#125—431no—
1141#125—431no—
1142#125—861no—
1143#125C22×D4311yescharacteristic
1144#125C22×D4311yescharacteristic
1145#124—21no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124C22×D4311yescharacteristic
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—431no—
1154#123—431no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
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#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—21no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8C22×D4311yescharacteristic
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103C22×D4311yescharacteristic
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
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#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97C22×D4311yescharacteristic
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C24—861no—
1361C24—861no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—861no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
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—3442no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—3442no—
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—434no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
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—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42C23×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—431no—
1574C23—431no—
1575C23—431no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—1722no—
1584C23—1722no—
1585C23—1722no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—41no—
1590Q8—42no—
1591Q8—3441no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—81no—
1598D4—81no—
1599D4—432no—
1600D4—861no—
1601D4—861no—
1602D4—861no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—3441no—
1608D4—3441no—
1609D4—3441no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—1721no—
1622D4—1721no—
1623D4—1721no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—431no—
1641C2×C4—431no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—431no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—3441no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—1721no—
1670C2×C4—1721no—
1671C2×C4—1722no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4C2×D4×D4311yescharacteristic
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—861no—
1699C22—861no—
1700C22—861no—
1701C22—862no—
1702C22—861no—
1703C22—861no—
1704C22—861no—
1705C22—861no—
1706C22—861no—
1707C22—861no—
1708C22—3444no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—22no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373611yescharacteristic
1745C2—81no—
1746C2—81no—
1747C2—3441no—
1748C2—3441no—
1749C2—3441no—
1750C2—1721no—
1751C2—1721no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914808411yescharacteristic
1755C2#1914937211yescharacteristic
1756C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3371C2
socleC22×C43C23×D4
hypercenter#3371D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #19148602C2semidirect
2. #19148534C2semidirect
3. #19147633C2semidirect
4. #19147534C2semidirect
5. #19147304C2semidirect
6. #19147152C2semidirect
7. #19147072C2semidirect
8. #19147062C2semidirect
9. #19146924C2semidirect
10. #19146795C2semidirect
11. #19146735C2semidirect
12. #19146726C2semidirect
13. #19146606C2semidirect
14. #19146555C2semidirect
15. #19146210C2semidirect
16. #19146130C2semidirect
17. #19146130C2semidirect
18. #19145277C2semidirect
19. #19145244C2semidirect
20. #19145193C2semidirect
21. #19144871C2semidirect
22. #19144840C2semidirect
23. #19144801C2semidirect
24. #19144793C2semidirect
25. #19144703C2semidirect
26. #19144688C2semidirect
27. #19143579C2semidirect
28. #19143475C2semidirect
29. #19143422C2semidirect
30. #19143400C2semidirect
31. C43×#3371C2semidirect
39. #14583602C22semidirect
47. #14583571C22semidirect
48. #14583571C22semidirect
49. #14583571C22semidirect
52. #14583552C22semidirect
60. #14583505C22semidirect
61. #14583505C22semidirect
66. #14583450C22semidirect
73. #14583381C22semidirect
74. #14583381C22semidirect
76. C4×#10621902C22semidirect
78. #14583309C22semidirect
79. #14583305C22semidirect
80. #14583298C22semidirect
81. #14583289C22semidirect
82. #14583289C22semidirect
84. #14583264C22semidirect
85. #14583264C22semidirect
86. #14583246C22semidirect
87. #14583239C22semidirect
88. #14583228C22semidirect
89. #14583226C22semidirect
90. #14583225C22semidirect
92. #14583219C22semidirect
93. #14583219C22semidirect
94. #14583219C22semidirect
96. #14583216C22semidirect
97. #14583214C22semidirect
98. #14583211C22semidirect
99. #14583206C22semidirect
100. #14583206C22semidirect
101. #14583200C22semidirect
102. #14583200C22semidirect
105. #14583190C22semidirect
107. #14583184C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
113. #14583148C22semidirect
114. #14583148C22semidirect
115. #14583148C22semidirect
117. #14583134C22semidirect
118. #14583134C22semidirect
119. #14583131C22semidirect
120. #14583111C22semidirect
121. #14583111C22semidirect
122. #14583099C22semidirect
126. #14583094C22semidirect
127. #14583094C22semidirect
129. #14583060C22semidirect
130. #14583060C22semidirect
135. #14583043C22semidirect
136. #14583043C22semidirect
141. #14583030C22semidirect
146. #14583009C22semidirect
147. #14583009C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583006C22semidirect
152. #14583002C22semidirect
153. #14583000C22semidirect
156. SD16×Dic43C22semidirect
158. C4×#10621884C22semidirect
160. #14582984C22semidirect
161. #14582984C22semidirect
164. #14582979C22semidirect
165. #14582979C22semidirect
166. #14582979C22semidirect
167. #14582978C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582940C22semidirect
177. #14582938C22semidirect
178. #106×D43C22semidirect
181. #14582899C22semidirect
182. #14582899C22semidirect
183. #14582894C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
189. C43×#557C22semidirect
191. C43×#489C22semidirect
192. C43×#488C22semidirect
193. C43×#479C22semidirect
194. C43×#478C22semidirect
195. C43×#476C22semidirect
196. C43×#464C22semidirect
197. C43×#464C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
201. C43×#440C22semidirect
202. C4×SD16×C43C22semidirect
611. #10621884#41semidirect
871. #3371D43semidirect
914. #557C2×D43semidirect
967. #489C2×D43semidirect
968. #488C2×D43semidirect
984. #479C2×D43semidirect
989. #478C2×D43semidirect
992. #476C2×D43semidirect
1006. #464C2×D43semidirect
1007. #464C2×D43semidirect
1031. #446C2×D43semidirect
1042. #441C2×D43semidirect
1047. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191486022
#191485342
#191476332
#191475342
#191473042
#191471522
#191470722
#191470622
#191469242
#191467952
#191467352
#191467262
#191466062
#191465552
#191462102
#191461302
#191452772
#191452442
#191451932
#191448712
#191448402
#191448012
#191447932
#191447032
#191446882
#191435792
#191434752
#191434222
#191434002
C43×#33712
#6150743