Finite Group Databasebeta

← #25975565

Subgroups — #25975565

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148343C211yesmaximal, characteristic, complemented
2#19148326C211yesmaximal, characteristic
3#19147139C211yesmaximal, characteristic, complemented
4#19147135C211yesmaximal, characteristic, complemented
5#19147115C211yesmaximal, characteristic, complemented
6#19147111C211yesmaximal, characteristic, complemented
7#19147076C211yesmaximal, characteristic, complemented
8#19147041C211yesmaximal, characteristic, complemented
9#19147037C211yesmaximal, characteristic, complemented
10#19147005C211yesmaximal, characteristic, complemented
11#19147001C211yesmaximal, characteristic, complemented
12#19146978C211yesmaximal, characteristic, complemented
13#19146972C211yesmaximal, characteristic, complemented
14#19146971C211yesmaximal, characteristic, complemented
15#19146968C211yesmaximal, characteristic, complemented
16#19146950C211yesmaximal, characteristic, complemented
17#19146946C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19144559C211yesmaximal, characteristic, complemented
20#19144546C211yesmaximal, characteristic, complemented
21#19144540C211yesmaximal, characteristic, complemented
22#19144532C211yesmaximal, characteristic, complemented
23#19144436C211yesmaximal, characteristic, complemented
24#19144419C211yesmaximal, characteristic, complemented
25#19144232C211yesmaximal, characteristic, complemented
26#465×D43C211yesmaximal, characteristic, complemented
27#19143451C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30C2×#14582936C211yesmaximal, characteristic, complemented
31C43×#3346C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583614C2211yescharacteristic
38#14583612C2211yescharacteristic
39#14583604C2211yescharacteristic, complemented
40#14583602C2211yescharacteristic
41#14583601C2211yescharacteristic
42#14583597C2211yescharacteristic
43#14583591C2211yescharacteristic, complemented
44#14583590C2211yescharacteristic, complemented
45#14583589C2211yescharacteristic, complemented
46#14583584C2211yescharacteristic, complemented
47#14583583—21no—
48#14583581—21no—
49#14583578—21no—
50#14583576—21no—
51#14583574—21no—
52#14583572—21no—
53#14583553C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583544—21no—
56#14583538—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583515—21no—
61#14583508—21no—
62#14583501—21no—
63#14583472C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583451—21no—
66#14583444—21no—
67#14583429—21no—
68#14583429—21no—
69#14583408C2211yescharacteristic
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77C2×#13063283C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583295C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583230C2211yescharacteristic, complemented
97#14583227C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583225C2211yescharacteristic
101#14583225C2211yescharacteristic
102#14583224C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583221C2211yescharacteristic, complemented
106#14583220C2211yescharacteristic, complemented
107#14583217C2211yescharacteristic
108#14583217C2211yescharacteristic, complemented
109#14583216C2211yescharacteristic, complemented
110#14583214C2211yescharacteristic, complemented
111#14583213C2211yescharacteristic
112#14583210C2211yescharacteristic
113#14583208C2211yescharacteristic, complemented
114#14583205C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583202C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583197C2211yescharacteristic, complemented
120#14583195C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583184C2211yescharacteristic, complemented
125#14583183C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583146C2211yescharacteristic, complemented
128#14583145C2211yescharacteristic, complemented
129#14583142C2211yescharacteristic, complemented
130#14583131C2211yescharacteristic
131#14583131C2211yescharacteristic, complemented
132#14583130C2211yescharacteristic
133#14583130C2211yescharacteristic, complemented
134#14583129C2211yescharacteristic
135#14583128C2211yescharacteristic
136#14583127C2211yescharacteristic
137#14583127C2211yescharacteristic, complemented
138#14583126C2211yescharacteristic
139#14583126C2211yescharacteristic, complemented
140#14583125C2211yescharacteristic
141#14583001C2211yescharacteristic, complemented
142#14583000C2211yescharacteristic, complemented
143#14582998C2211yescharacteristic, complemented
144#14582990C2211yescharacteristic, complemented
145C4×#10621884C2211yescharacteristic, complemented
146C4×#10621883C2211yescharacteristic, complemented
147#14582984C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic, complemented
149#14582970C2211yescharacteristic, complemented
150#14582968C2211yescharacteristic, complemented
151D4×C43⋊C8C2211yescharacteristic, complemented
152#14582964C2211yescharacteristic, complemented
153(C22⋊D43)⋊C8C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582936C2211yescharacteristic
163#14582936C2211yescharacteristic
164#14582936C2211yescharacteristic
165#14582936C2211yescharacteristic
166#14582936C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#14582936C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic, complemented
170#14582936C2211yescharacteristic, complemented
171#14582935C2211yescharacteristic, complemented
172C2×#13063259C2211yescharacteristic, complemented
173C2×#13063256C2211yescharacteristic, complemented
174C2×#13063256C2211yescharacteristic, complemented
175C2×#13063256C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#554C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213SD16×D43—24no—
214#13063333—24no—
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C22×C43⋊C8C2311yescharacteristic
220C2×C8×D43—24no—
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063321—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063314—21no—
255#13063313—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310D411yescharacteristic
267#13063309—21no—
268#13063309—21no—
269#13063309—21no—
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307D411yescharacteristic
275#13063306—21no—
276#13063306—21no—
277#13063305—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303D411yescharacteristic
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300—21no—
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063297D411yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290C2311yescharacteristic
323C4×D172—21no—
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326D4×Dic43—21no—
327D4×Dic43C2311yescharacteristic
328#13063287—21no—
329#13063287—21no—
330#13063287C2311yescharacteristic
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341#13063284—21no—
342#13063284—21no—
343#13063284C2311yescharacteristic
344#13063283—21no—
345#13063283—21no—
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×(C2×D43)⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
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#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×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×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×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
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
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×Dic43C2×D411yescharacteristic
509Q8×D43—22no—
510Q8×D43—22no—
511#10621900—82no—
512#10621900—82no—
513D4×D43—22no—
514D4×D43—22no—
515D4×D43—82no—
516#10621898—22no—
517#10621898—22no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172C2×D411yescharacteristic
521C2×D172C2×D411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544M16×C43—22no—
545C2×C8×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621884—22no—
586#10621883—22no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664C2×C43⋊C8—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674C8×D43—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—22no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—42no—
687C22×D43—81no—
688C22×D43—81no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—81no—
695D4×C43—22no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—42no—
699D4×C43—81no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
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—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C2511yescharacteristic
720C22⋊D43—22no—
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—41no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—22no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—42no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—22no—
747D172—21no—
748D172—21no—
749D172—41no—
750D172—81no—
751D172—81no—
752C4×D43—22no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—22no—
758C4×D43—42no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43C2×#4112yes—
766C4×D432−1+412yes—
767Dic86—22no—
768Dic86—21no—
769Dic86—21no—
770Dic86—42no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61263—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43#57712yes—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—44no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—162no—
806C2×D43#54712yes—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C22×#4111yescharacteristic
819C4×C43C2×2−1+411yescharacteristic
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43#54712yes—
832#3495—431no—
833#3494—431no—
834#3350—431no—
835#3350—431no—
836#3348—431no—
837#3348—431no—
838#3346—431no—
839#3346D4311yescharacteristic, complemented
840#3343—431no—
841#3343—431no—
842#3340—431no—
843#3340—431no—
844#3337—431no—
845#3337—431no—
846#3337—431no—
847#3337—431no—
848#3335—431no—
849#3335—431no—
850#3163—431no—
851#3097—431no—
852#3096—431no—
853#3095—431no—
854#3094—431no—
855#3082—431no—
856#3081—431no—
857#3057—431no—
858C2×#465—431no—
859#2949—431no—
860#2929—431no—
861#2912—431no—
862C2×#427—431no—
863C2×C43—22no—
864C2×C43—41no—
865C2×C43—81no—
866C2×C43C2×#54711yescharacteristic
867C2×C43C2×#57711yescharacteristic
868C2×C43#358411yescharacteristic
869D43—22no—
870D43—41no—
871D43—41no—
872D43—81no—
873C22×SD16—431no—
874C2×#131—431no—
875C23×C8—431no—
876#556—431no—
877#556—431no—
878#555—431no—
879#555—431no—
880#554—431no—
881#554C2×D4311yescharacteristic, complemented
882#553—431no—
883#553—431no—
884#553—431no—
885#553C2×D4311yescharacteristic
886#552—431no—
887#552—431no—
888#552—431no—
889#552—431no—
890#552—861no—
891#552—861no—
892#551—861no—
893#551—861no—
894#551—861no—
895#551—861no—
896#547—431no—
897#547—431no—
898#546—861no—
899#546—861no—
900#544—431no—
901#544—431no—
902#542—861no—
903#542—861no—
904#541—861no—
905#540—861no—
906#536—431no—
907#535—431no—
908#533—861no—
909#532—861no—
910#529—861no—
911#529—861no—
912#525—431no—
913C2×C22⋊Q8—431no—
914C2×#121—431no—
915#520—431no—
916#520—431no—
917#519—431no—
918#518—431no—
919C2×#117—431no—
920C2×#117—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#501C2×D4311yescharacteristic, complemented
925#499—431no—
926#499—431no—
927#498—431no—
928#498—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#484—431no—
940#484C2×D4311yescharacteristic, complemented
941#483—431no—
942#483—431no—
943#483—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#481C2×D4311yescharacteristic
957#480—431no—
958#480—431no—
959#480—431no—
960#480C2×D4311yescharacteristic, complemented
961#479—431no—
962#479—431no—
963#479—431no—
964#479C2×D4311yescharacteristic, complemented
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#477—431no—
970#477—431no—
971#476—431no—
972#476—431no—
973#475—431no—
974#475—431no—
975#474—431no—
976#474C2×D4311yescharacteristic, complemented
977#468—431no—
978#468—431no—
979#468—431no—
980#468C2×D4311yescharacteristic, complemented
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#465—431no—
986#465—431no—
987#465—431no—
988#465—431no—
989#465—431no—
990#465—431no—
991#465—431no—
992#465C2×D4311yescharacteristic
993#440—431no—
994#440—431no—
995#440—431no—
996#440C2×D4311yescharacteristic, complemented
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16—431no—
1000C4×SD16—431no—
1001#435—431no—
1002#435—431no—
1003#435—431no—
1004#435C2×D4311yescharacteristic, complemented
1005C8×D4—431no—
1006C8×D4—431no—
1007C8×D4—431no—
1008C8×D4—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428C2×D4311yescharacteristic, complemented
1017#427—431no—
1018#427—431no—
1019#427—431no—
1020#427—431no—
1021#427—431no—
1022#427—431no—
1023#427—431no—
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027C2×#107—431no—
1028C2×#107C2×D4311yescharacteristic, complemented
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033C2×#106—431no—
1034#424—431no—
1035#419—431no—
1036#419—431no—
1037#418—431no—
1038#418—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041#408—431no—
1042#407—431no—
1043#405—431no—
1044C43#6126311yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—861no—
1047C2×#41—861no—
1048C22×Q8—431no—
1049C22×D4—431no—
1050C22×D4—861no—
1051C23×C4—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—864no—
1056C2×SD16C22×D4311yescharacteristic
1057#131—864no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16C22×D4311yescharacteristic
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C22×C8—431no—
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8—864no—
1070C22×C8C22×D4311yescharacteristic
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8—861no—
1077C4⋊Q8C22×D4311yescharacteristic
1078#127—861no—
1079#126—21no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—21no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125C22×D4311yescharacteristic
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#123—21no—
1112#123—431no—
1113#123—431no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149#121—21no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—431no—
1168#120—431no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117C22×D4311yescharacteristic
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4C22×D4311yescharacteristic
1237C2×C4⋊C4C22×D4311yescharacteristic
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C22⋊C4—861no—
1240C2×C22⋊C4—861no—
1241C2×C22⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246C2×C42—861no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107C22×D4311yescharacteristic
1258#107C22×D4311yescharacteristic
1259#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97C22×D4311yescharacteristic
1321C4×C8—431no—
1322C4×C8—431no—
1323C24—431no—
1324C24—861no—
1325#41—862no—
1326#41—862no—
1327#41—3442no—
1328#41—3442no—
1329C2×Q8—21no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—862no—
1336C2×Q8—862no—
1337C2×Q8—861no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—3442no—
1358C2×D4D4×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—862no—
1371C22×C4—862no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385SD16—22no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389M16—22no—
1390M16—862no—
1391M16—862no—
1392M16—862no—
1393C2×C8—22no—
1394C2×C8—431no—
1395C2×C8—434no—
1396C2×C8—431no—
1397C2×C8—431no—
1398C2×C8—431no—
1399C2×C8—862no—
1400C2×C8—862no—
1401C2×C8—862no—
1402C2×C8—862no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—431no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—431no—
1523C23—431no—
1524C23—431no—
1525C23—862no—
1526C23—862no—
1527C23—861no—
1528C23—3441no—
1529C23—3441no—
1530C23—1721no—
1531C23—1722no—
1532C23C2×D4×D4311yescharacteristic
1533C23C2×D4×D4311yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—862no—
1538Q8—861no—
1539Q8—861no—
1540Q8—3441no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1722no—
1544D4—22no—
1545D4—21no—
1546D4—21no—
1547D4—42no—
1548D4—81no—
1549D4—862no—
1550D4—862no—
1551D4—862no—
1552D4—862no—
1553D4—861no—
1554D4—861no—
1555D4—3441no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—1721no—
1561D4—1722no—
1562D4—1721no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—432no—
1581C2×C4—432no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—862no—
1587C2×C4—862no—
1588C2×C4—862no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—432no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—432no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—1724no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22—6882no—
1646C22#1458370812yes—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—861no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4C2×#41×D4311yescharacteristic
1672C42−1+4×D4311yescharacteristic
1673C2—22no—
1674C2—41no—
1675C2—81no—
1676C2—862no—
1677C2—3441no—
1678C2—1721no—
1679C2—1721no—
1680C2#547×D4311yescharacteristic
1681C2C2×#1458370811yescharacteristic
1682C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3346C2
socleC22×C43C23×D4
prime radical#19148326C2
hypercenter#3346D43
hypocenterC43#61263
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #19148343C2semidirect
3. #19147139C2semidirect
4. #19147135C2semidirect
5. #19147115C2semidirect
6. #19147111C2semidirect
7. #19147076C2semidirect
8. #19147041C2semidirect
9. #19147037C2semidirect
10. #19147005C2semidirect
11. #19147001C2semidirect
12. #19146978C2semidirect
13. #19146972C2semidirect
14. #19146971C2semidirect
15. #19146968C2semidirect
16. #19146950C2semidirect
17. #19146946C2semidirect
18. #19145122C2semidirect
19. #19144559C2semidirect
20. #19144546C2semidirect
21. #19144540C2semidirect
22. #19144532C2semidirect
23. #19144436C2semidirect
24. #19144419C2semidirect
25. #19144232C2semidirect
26. #465×D43C2semidirect
27. #19143451C2semidirect
28. #19143286C2semidirect
29. #19143189C2semidirect
30. C2×#14582936C2semidirect
31. C43×#3346C2semidirect
35. #14583623C22semidirect
36. #14583620C22semidirect
39. #14583604C22semidirect
43. #14583591C22semidirect
44. #14583590C22semidirect
45. #14583589C22semidirect
46. #14583584C22semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583295C22semidirect
85. #14583242C22semidirect
86. #14583242C22semidirect
87. #14583242C22semidirect
88. #14583240C22semidirect
89. #14583239C22semidirect
90. #14583238C22semidirect
91. #14583238C22semidirect
92. #14583235C22semidirect
93. #14583234C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
96. #14583230C22semidirect
97. #14583227C22semidirect
98. #14583227C22semidirect
99. #14583226C22semidirect
102. #14583224C22semidirect
105. #14583221C22semidirect
106. #14583220C22semidirect
108. #14583217C22semidirect
109. #14583216C22semidirect
110. #14583214C22semidirect
113. #14583208C22semidirect
114. #14583205C22semidirect
115. #14583203C22semidirect
116. #14583202C22semidirect
117. #14583200C22semidirect
118. #14583199C22semidirect
119. #14583197C22semidirect
120. #14583195C22semidirect
121. #14583192C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583184C22semidirect
125. #14583183C22semidirect
126. #14583178C22semidirect
127. #14583146C22semidirect
128. #14583145C22semidirect
129. #14583142C22semidirect
131. #14583131C22semidirect
133. #14583130C22semidirect
137. #14583127C22semidirect
139. #14583126C22semidirect
141. #14583001C22semidirect
142. #14583000C22semidirect
143. #14582998C22semidirect
144. #14582990C22semidirect
145. C4×#10621884C22semidirect
146. C4×#10621883C22semidirect
147. #14582984C22semidirect
148. #14582972C22semidirect
149. #14582970C22semidirect
150. #14582968C22semidirect
151. D4×C43⋊C8C22semidirect
152. #14582964C22semidirect
153. (C22⋊D43)⋊C8C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
166. #14582936C22semidirect
167. #14582936C22semidirect
168. #14582936C22semidirect
169. #14582936C22semidirect
170. #14582936C22semidirect
171. #14582935C22semidirect
172. C2×#13063259C22semidirect
173. C2×#13063256C22semidirect
174. C2×#13063256C22semidirect
175. C2×#13063256C22semidirect
177. #106×D43C22semidirect
188. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#484C22semidirect
194. C43×#480C22semidirect
195. C43×#479C22semidirect
196. C43×#474C22semidirect
197. C43×#468C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#107×C43C22semidirect
678. C8×D43#41semidirect
839. #3346D43semidirect
881. #554C2×D43semidirect
924. #501C2×D43semidirect
936. #485C2×D43semidirect
940. #484C2×D43semidirect
960. #480C2×D43semidirect
964. #479C2×D43semidirect
976. #474C2×D43semidirect
980. #468C2×D43semidirect
996. #440C2×D43semidirect
1004. #435C2×D43semidirect
1016. #428C2×D43semidirect
1028. C2×#107C2×D43semidirect
1044. C43#61263semidirect

Maximal subgroups

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

subgroupindex
#191483432
#191483262
#191471392
#191471352
#191471152
#191471112
#191470762
#191470412
#191470372
#191470052
#191470012
#191469782
#191469722
#191469712
#191469682
#191469502
#191469462
#191451222
#191445592
#191445462
#191445402
#191445322
#191444362
#191444192
#191442322
#465×D432
#191434512
#191432862
#191431892
C2×#145829362
C43×#33462
#6126343