Finite Group Databasebeta

← #25975514

Subgroups — #25975514

Order 11008.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148311C211yesmaximal, characteristic, complemented
2#19148306C211yesmaximal, characteristic, complemented
3#19147127C211yesmaximal, characteristic, complemented
4#19147126C211yesmaximal, characteristic, complemented
5#19147124C211yesmaximal, characteristic, complemented
6#19147121C211yesmaximal, characteristic, complemented
7#19147101C211yesmaximal, characteristic, complemented
8#19147100C211yesmaximal, characteristic, complemented
9#19147090C211yesmaximal, characteristic, complemented
10#19147008C211yesmaximal, characteristic, complemented
11#19147006C211yesmaximal, characteristic, complemented
12#19147006C211yesmaximal, characteristic, complemented
13#19147005C211yesmaximal, characteristic, complemented
14#19146981C211yesmaximal, characteristic, complemented
15#19146978C211yesmaximal, characteristic, complemented
16#19146968C211yesmaximal, characteristic, complemented
17#19146967C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144523C211yesmaximal, characteristic, complemented
22#19144523C211yesmaximal, characteristic, complemented
23#19144447C211yesmaximal, characteristic, complemented
24#19144441C211yesmaximal, characteristic, complemented
25#19144255C211yesmaximal, characteristic, complemented
26#19144174C211yesmaximal, characteristic, complemented
27#19143477C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#427×D43C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063344C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583623C2211yescharacteristic
36#14583619C2211yescharacteristic
37#14583618—21no—
38#14583617C2211yescharacteristic
39#14583617C2211yescharacteristic
40#14583616—21no—
41#14583614C2211yescharacteristic
42#14583613—21no—
43#14583613C2211yescharacteristic
44#14583613C2211yescharacteristic
45#14583611—21no—
46#14583601C2211yescharacteristic
47#14583599C2211yescharacteristic
48#14583598—21no—
49#14583596C2211yescharacteristic
50#14583592—21no—
51#14583589C2211yescharacteristic
52#14583588C2211yescharacteristic
53#14583587C2211yescharacteristic
54#14583586—21no—
55#14583584C2211yescharacteristic
56#14583582—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583485—21no—
60#14583483—21no—
61#14583481—21no—
62#14583481—21no—
63#14583478C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583432—21no—
66#14583431—21no—
67#14583428—21no—
68#14583427—21no—
69#14583409C2211yescharacteristic
70#14583409C2211yescharacteristic
71#14583408C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583295C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic
89#14583242C2211yescharacteristic
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic
92#14583241C2211yescharacteristic
93#14583241C2211yescharacteristic, complemented
94#14583240C2211yescharacteristic
95#14583240C2211yescharacteristic
96#14583240C2211yescharacteristic, complemented
97#14583236C2211yescharacteristic, complemented
98#14583236C2211yescharacteristic, complemented
99#14583235C2211yescharacteristic, complemented
100#14583234C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic
102#14583222C2211yescharacteristic
103#14583222C2211yescharacteristic, complemented
104#14583221C2211yescharacteristic
105#14583221C2211yescharacteristic
106#14583221C2211yescharacteristic, complemented
107#14583220C2211yescharacteristic
108#14583220C2211yescharacteristic
109#14583220C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583209C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583205C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583197C2211yescharacteristic, complemented
120#14583195C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583193C2211yescharacteristic, complemented
123#14583191C2211yescharacteristic, complemented
124#14583179C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583158C2211yescharacteristic, complemented
128#14583157C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic, complemented
130#14583141C2211yescharacteristic
131#14583140C2211yescharacteristic
132#14583132C2211yescharacteristic
133#14583127C2211yescharacteristic
134#14583127C2211yescharacteristic
135#14583127C2211yescharacteristic, complemented
136#14583127C2211yescharacteristic, complemented
137#14583126C2211yescharacteristic
138#14583126C2211yescharacteristic
139#14583126C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic, complemented
142#14583007C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14582990C2211yescharacteristic, complemented
145#14582990C2211yescharacteristic, complemented
146C4×#10621883C2211yescharacteristic, complemented
147C4×#10621883C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic
149#14582970C2211yescharacteristic
150#14582968C2211yescharacteristic
151D4×C43⋊C8C2211yescharacteristic
152#14582964C2211yescharacteristic
153(C22⋊D43)⋊C8C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582937C2211yescharacteristic
163#14582936C2211yescharacteristic
164#14582936C2211yescharacteristic
165#14582936C2211yescharacteristic
166#14582936C2211yescharacteristic, complemented
167#14582935C2211yescharacteristic
168#14582935C2211yescharacteristic
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174C2×#13063256C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063344—24no—
208C2×Dic172C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211#13063333—24no—
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C2×C8×D43—24no—
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063319—21no—
233#13063319—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063314—21no—
253#13063312—21no—
254#13063312—21no—
255#13063312—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310D411yescharacteristic
264#13063309—21no—
265#13063308—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063306—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063302D411yescharacteristic
288#13063301—21no—
289#13063299—21no—
290#13063298—21no—
291#13063298—21no—
292#13063298—21no—
293#13063298D411yescharacteristic
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297D411yescharacteristic
300#13063296—21no—
301#13063296—21no—
302#13063296—21no—
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063295D411yescharacteristic
308#13063293—21no—
309#13063293—21no—
310#13063293D411yescharacteristic
311Q8×Dic43—21no—
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317#13063290—21no—
318#13063290—21no—
319#13063290C2311yescharacteristic
320#13063290C2311yescharacteristic
321C4×D172—21no—
322C4×D172C2311yescharacteristic
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328#13063287—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43C2311yescharacteristic
335C4×C22⋊D43C2311yescharacteristic
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343#13063284—21no—
344#13063284—21no—
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063284C2311yescharacteristic
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
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×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
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⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43C2×D411yescharacteristic
511#10621900—22no—
512#10621900—22no—
513#10621900—22no—
514#10621900—22no—
515#10621898—22no—
516#10621898—22no—
517C2×D172C2×D411yescharacteristic
518C2×D172C2×D411yescharacteristic
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537C2×Dic86C2411yescharacteristic
538D8×C43—22no—
539M16×C43—22no—
540C2×C8×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43C2×D411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621883—22no—
587#10621883—22no—
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)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667Dic172—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671C8×D43—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43#4114yes—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43C22×D411yescharacteristic
679C23×C43C22×D411yescharacteristic
680C22×D43—22no—
681C22×D43—41no—
682C22×D43—41no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685C22×D43C22×D411yescharacteristic
686Q8×C43—81no—
687D4×C43—21no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—41no—
692D4×C43—81no—
693D4×C43—81no—
694D4×C43—81no—
695D4×C43—81no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
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—81no—
707C2×C4×C43—81no—
708C2×C4×C43—81no—
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C2511yescharacteristic
714C22⋊D43—22no—
715C22⋊D43—22no—
716C22⋊D43—41no—
717C22⋊D43—41no—
718C22⋊D43—42no—
719C22⋊D43—42no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C2×Dic43—22no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—42no—
734C2×Dic43—42no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—22no—
744D172—41no—
745C4×D43—22no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—22no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43C2×#4112yes—
758C4×D432−1+412yes—
759Dic86—22no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—21no—
764Dic86—81no—
765Dic86—81no—
766Dic86—81no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C8×C43C2×#4112yes—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8C2×#4112yes—
775#61260—431nomaximal, Sylow
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43C23×D411yescharacteristic
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—44no—
798C2×D43#54712yes—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43C22×#4111yescharacteristic
810C4×C43C2×2−1+411yescharacteristic
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43#54712yes—
824#3493—431no—
825#3493—431no—
826#3349—431no—
827#3349—431no—
828#3349—431no—
829#3349—431no—
830#3347—431no—
831#3347—431no—
832#3347—431no—
833#3347D4311yescharacteristic, complemented
834#3340—431no—
835#3340—431no—
836#3340—431no—
837#3340—431no—
838#3337—431no—
839#3337—431no—
840#3337—431no—
841#3337—431no—
842#3163—431no—
843#3098—431no—
844#3098—431no—
845#3093—431no—
846#3093—431no—
847#3083—431no—
848#3083—431no—
849#3060—431no—
850#3050—431no—
851#2952—431no—
852#2929—431no—
853#2912—431no—
854C2×#427—431no—
855C2×C43—41no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43—81no—
859C2×C43C2×#54711yescharacteristic
860C2×C43#358411yescharacteristic
861C2×C43#358411yescharacteristic
862D43—22no—
863D43—41no—
864D43—41no—
865C2×#135—431no—
866C2×#131—431no—
867C23×C8—431no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—431no—
872#556—861no—
873#556—861no—
874#555—431no—
875#555—431no—
876#555—431no—
877#555—861no—
878#555—861no—
879#555C2×D4311yescharacteristic
880#553—431no—
881#553—431no—
882#553—431no—
883#553—861no—
884#553—861no—
885#553C2×D4311yescharacteristic
886#552—431no—
887#552—431no—
888#552—431no—
889#552—431no—
890#552—861no—
891#552—861no—
892#544—431no—
893#544—431no—
894#538—861no—
895#538—861no—
896#538—861no—
897#538—861no—
898#537—431no—
899#537—431no—
900#529—861no—
901#529—861no—
902#529—861no—
903#529—861no—
904#525—431no—
905#525—431no—
906#525—431no—
907#520—431no—
908#520—431no—
909#520—431no—
910#520—431no—
911C2×#117—431no—
912C2×#117—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#501C2×D4311yescharacteristic, complemented
917#499—431no—
918#499—431no—
919#498—431no—
920#498—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#484—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482C2×D4311yescharacteristic
947#482C2×D4311yescharacteristic
948#482C2×D4311yescharacteristic, complemented
949#480—431no—
950#480—431no—
951#480—431no—
952#480C2×D4311yescharacteristic, complemented
953#479—431no—
954#479—431no—
955#479—431no—
956#479—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#478C2×D4311yescharacteristic, complemented
961#477—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474C2×D4311yescharacteristic, complemented
969#470—431no—
970#470—431no—
971#469—431no—
972#469C2×D4311yescharacteristic, complemented
973#467—431no—
974#467—431no—
975#466—431no—
976#466C2×D4311yescharacteristic
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#442—431no—
986#442C2×D4311yescharacteristic, complemented
987#441—431no—
988#441—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993#435—431no—
994#435—431no—
995#435—431no—
996#435C2×D4311yescharacteristic
997C8×D4—431no—
998C8×D4—431no—
999C8×D4—431no—
1000C8×D4—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428C2×D4311yescharacteristic, complemented
1009#427—431no—
1010#427—431no—
1011#427—431no—
1012#427—431no—
1013#427—431no—
1014#427—431no—
1015#427—431no—
1016#427—431no—
1017#427—431no—
1018#427—431no—
1019#427C2×D4311yescharacteristic
1020C2×#107—431no—
1021C2×#107—431no—
1022C2×#106—431no—
1023C2×#106—431no—
1024C2×#106—431no—
1025C2×#106—431no—
1026#424—431no—
1027#417—431no—
1028#417—431no—
1029#417—431no—
1030#417—431no—
1031#416—431no—
1032#416—431no—
1033#408—431no—
1034#407—431no—
1035#405—431no—
1036C43#6126011yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—431no—
1039C2×#41—431no—
1040C23×C4—431no—
1041#135—864no—
1042C2×Q16—431no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×D8C22×D4311yescharacteristic
1046#131—864no—
1047C2×M16—431no—
1048C2×M16—431no—
1049C2×M16—431no—
1050C2×M16C22×D4311yescharacteristic
1051C22×C8—431no—
1052C22×C8—431no—
1053C22×C8—431no—
1054C22×C8—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C22×C8—431no—
1058C22×C8—864no—
1059C22×C8C22×D4311yescharacteristic
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8C22×D4311yescharacteristic
1066#126—21no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125C22×D4311yescharacteristic
1092#124—21no—
1093#124—21no—
1094#124—861no—
1095#124—861no—
1096#124—861no—
1097#124—861no—
1098#124—861no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#123—21no—
1105#123—431no—
1106#123—431no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132#121—21no—
1133#121—21no—
1134#121—431no—
1135#121—431no—
1136#121—431no—
1137#121—431no—
1138#121—431no—
1139#121—431no—
1140#121—861no—
1141#121—861no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121C22×D4311yescharacteristic
1153#121C22×D4311yescharacteristic
1154#121C22×D4311yescharacteristic
1155#121C22×D4311yescharacteristic
1156#120—431no—
1157#120—431no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×D4—21no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4C22×D4311yescharacteristic
1194C4×D4C22×D4311yescharacteristic
1195C4×D4C22×D4311yescharacteristic
1196#117—21no—
1197#117—431no—
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117C22×D4311yescharacteristic
1223#117C22×D4311yescharacteristic
1224#117C22×D4311yescharacteristic
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—861no—
1233C2×C4⋊C4—861no—
1234C2×C4⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4—861no—
1236C2×C22⋊C4—861no—
1237C2×C42—861no—
1238C2×C42—861no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
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#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8C22×D4311yescharacteristic
1310C22⋊C8C22×D4311yescharacteristic
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C24—431no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—862no—
1320#41—862no—
1321#41—862no—
1322C2×Q8—21no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—431no—
1336C2×D4—431no—
1337C2×D4—431no—
1338C2×D4—431no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4D4×D4311yescharacteristic
1346C2×D4C23×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372Q16—862no—
1373SD16—862no—
1374SD16—862no—
1375D8—22no—
1376M16—22no—
1377M16—862no—
1378M16—862no—
1379M16—862no—
1380C2×C8—22no—
1381C2×C8—431no—
1382C2×C8—434no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—862no—
1387C2×C8—862no—
1388C2×C8—862no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42C23×D4311yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—431no—
1513C23—431no—
1514C23—431no—
1515C23—862no—
1516C23—1721no—
1517C23—1721no—
1518C23C2×D4×D4311yescharacteristic
1519C23C2×D4×D4311yescharacteristic
1520Q8—81no—
1521Q8—862no—
1522Q8—861no—
1523Q8—861no—
1524Q8—861no—
1525Q8—861no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—862no—
1539D4—862no—
1540D4—862no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1721no—
1547D4—1721no—
1548D4—1722no—
1549D4—1722no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—431no—
1564C2×C4—432no—
1565C2×C4—432no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—862no—
1571C2×C4—862no—
1572C2×C4—862no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—432no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8#41×D4312yes—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—432no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22—861no—
1626C22—861no—
1627C22—861no—
1628C22—861no—
1629C22—861no—
1630C22—1724no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—432no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#41×D4311yescharacteristic
1656C42−1+4×D4311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—862no—
1662C2—1721no—
1663C2—1721no—
1664C2#547×D4311yescharacteristic
1665C2#1914936311yescharacteristic
1666C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61260
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148311C2semidirect
2. #19148306C2semidirect
3. #19147127C2semidirect
4. #19147126C2semidirect
5. #19147124C2semidirect
6. #19147121C2semidirect
7. #19147101C2semidirect
8. #19147100C2semidirect
9. #19147090C2semidirect
10. #19147008C2semidirect
11. #19147006C2semidirect
12. #19147006C2semidirect
13. #19147005C2semidirect
14. #19146981C2semidirect
15. #19146978C2semidirect
16. #19146968C2semidirect
17. #19146967C2semidirect
18. #19145122C2semidirect
19. #19144570C2semidirect
20. #19144568C2semidirect
21. #19144523C2semidirect
22. #19144523C2semidirect
23. #19144447C2semidirect
24. #19144441C2semidirect
25. #19144255C2semidirect
26. #19144174C2semidirect
27. #19143477C2semidirect
28. #19143286C2semidirect
29. #19143189C2semidirect
30. #427×D43C2semidirect
31. C43×#3347C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583295C22semidirect
87. #14583243C22semidirect
90. #14583242C22semidirect
93. #14583241C22semidirect
96. #14583240C22semidirect
97. #14583236C22semidirect
98. #14583236C22semidirect
99. #14583235C22semidirect
100. #14583234C22semidirect
103. #14583222C22semidirect
106. #14583221C22semidirect
109. #14583220C22semidirect
110. #14583211C22semidirect
111. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583209C22semidirect
114. #14583207C22semidirect
115. #14583205C22semidirect
116. #14583203C22semidirect
117. #14583201C22semidirect
118. #14583199C22semidirect
119. #14583197C22semidirect
120. #14583195C22semidirect
121. #14583193C22semidirect
122. #14583193C22semidirect
123. #14583191C22semidirect
124. #14583179C22semidirect
125. #14583177C22semidirect
126. #14583177C22semidirect
127. #14583158C22semidirect
128. #14583157C22semidirect
129. #14583149C22semidirect
135. #14583127C22semidirect
136. #14583127C22semidirect
139. #14583126C22semidirect
140. #14583126C22semidirect
141. #14583011C22semidirect
142. #14583007C22semidirect
143. #14583005C22semidirect
144. #14582990C22semidirect
145. #14582990C22semidirect
146. C4×#10621883C22semidirect
147. C4×#10621883C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
166. #14582936C22semidirect
169. #14582935C22semidirect
174. C2×#13063256C22semidirect
177. #106×D43C22semidirect
190. C43×#501C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
197. C43×#469C22semidirect
199. C43×#442C22semidirect
201. C43×#428C22semidirect
833. #3347D43semidirect
916. #501C2×D43semidirect
948. #482C2×D43semidirect
952. #480C2×D43semidirect
960. #478C2×D43semidirect
968. #474C2×D43semidirect
972. #469C2×D43semidirect
986. #442C2×D43semidirect
1008. #428C2×D43semidirect
1036. C43#61260semidirect

Maximal subgroups

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

subgroupindex
#191483112
#191483062
#191471272
#191471262
#191471242
#191471212
#191471012
#191471002
#191470902
#191470082
#191470062
#191470052
#191469812
#191469782
#191469682
#191469672
#191451222
#191445702
#191445682
#191445232
#191444472
#191444412
#191442552
#191441742
#191434772
#191432862
#191431892
#427×D432
C43×#33472
#6126043