Finite Group Databasebeta

← #25969661

Subgroups — #25969661

Order 11008.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147982C211yesmaximal, characteristic
2#541×D43C211yesmaximal, characteristic, complemented
3#19146048C211yesmaximal, characteristic, complemented
4#19146047C211yesmaximal, characteristic, complemented
5#19146046C211yesmaximal, characteristic, complemented
6#19146044C211yesmaximal, characteristic, complemented
7#19146043C211yesmaximal, characteristic, complemented
8#19146038C211yesmaximal, characteristic, complemented
9#19146037C211yesmaximal, characteristic, complemented
10#19146035C211yesmaximal, characteristic, complemented
11#19146028C211yesmaximal, characteristic, complemented
12#19146026C211yesmaximal, characteristic, complemented
13#19146023C211yesmaximal, characteristic, complemented
14#19146021C211yesmaximal, characteristic, complemented
15#19146020C211yesmaximal, characteristic, complemented
16#19146018C211yesmaximal, characteristic, complemented
17#19146015C211yesmaximal, characteristic, complemented
18#19144414C211yesmaximal, characteristic, complemented
19#19144412C211yesmaximal, characteristic, complemented
20#19144401C211yesmaximal, characteristic, complemented
21#19144395C211yesmaximal, characteristic, complemented
22#19144224C211yesmaximal, characteristic, complemented
23#19144222C211yesmaximal, characteristic, complemented
24#19144220C211yesmaximal, characteristic, complemented
25#19144218C211yesmaximal, characteristic, complemented
26#19144079C211yesmaximal, characteristic, complemented
27#19144077C211yesmaximal, characteristic, complemented
28#19144065C211yesmaximal, characteristic, complemented
29#19144065C211yesmaximal, characteristic, complemented
30#19143156C211yesmaximal, characteristic, complemented
31C43×#3258C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063354C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583523C2211yescharacteristic
39#14583520C2211yescharacteristic
40#14583518C2211yescharacteristic
41#14583512C2211yescharacteristic
42#14583511C2211yescharacteristic
43#14583510C2211yescharacteristic
44#14583509C2211yescharacteristic
45#14583509C2211yescharacteristic
46#14583509C2211yescharacteristic
47#14583508—21no—
48#14583508—21no—
49#14583507C2211yescharacteristic
50#14583507C2211yescharacteristic
51#14583507C2211yescharacteristic
52#14583506—21no—
53#14583506—21no—
54#14583502C2211yescharacteristic
55#14583500C2211yescharacteristic
56#14583495—21no—
57#14583490—21no—
58#14583485—21no—
59#14583483—21no—
60#14583454C2211yescharacteristic
61#14583448C2211yescharacteristic
62C4⋊Q8×D43C2211yescharacteristic
63#14583435—21no—
64#14583432—21no—
65#14583428—21no—
66#14583426—21no—
67#126×D43—21no—
68#126×D43—21no—
69#125×D43—21no—
70#125×D43—21no—
71#125×D43C2211yescharacteristic
72#14583412C2211yescharacteristic
73#14583409C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75C22⋊Q8×D43C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic
78C4×Q8×D43C2211yescharacteristic
79C4×Q8×D43C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583209C2211yescharacteristic, complemented
82#14583209C2211yescharacteristic, complemented
83#14583209C2211yescharacteristic, complemented
84#14583208C2211yescharacteristic, complemented
85#14583208C2211yescharacteristic, complemented
86#14583208C2211yescharacteristic, complemented
87#14583207C2211yescharacteristic, complemented
88#14583206C2211yescharacteristic, complemented
89#14583205C2211yescharacteristic, complemented
90#14583205C2211yescharacteristic, complemented
91#14583205C2211yescharacteristic, complemented
92#14583204C2211yescharacteristic, complemented
93#14583204C2211yescharacteristic, complemented
94#14583204C2211yescharacteristic, complemented
95#14583203C2211yescharacteristic, complemented
96#14583202C2211yescharacteristic, complemented
97#14583201C2211yescharacteristic, complemented
98#14583200C2211yescharacteristic, complemented
99#14583199C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583195C2211yescharacteristic, complemented
104#14583194C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583185C2211yescharacteristic, complemented
107#14583184C2211yescharacteristic, complemented
108#14583181C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic
110#14583157C2211yescharacteristic
111#14583156C2211yescharacteristic
112#14583156C2211yescharacteristic
113#14583155C2211yescharacteristic
114#14583155C2211yescharacteristic
115#14583154C2211yescharacteristic
116#14583148C2211yescharacteristic
117#14583147C2211yescharacteristic
118#14583146C2211yescharacteristic
119#14583145C2211yescharacteristic
120#14583144C2211yescharacteristic
121#14583143C2211yescharacteristic
122#14583142C2211yescharacteristic
123#14583141C2211yescharacteristic
124#14583140C2211yescharacteristic
125#14583139C2211yescharacteristic
126#14583139C2211yescharacteristic
127#14583138C2211yescharacteristic
128#14583138C2211yescharacteristic
129#14583137C2211yescharacteristic
130#14583131C2211yescharacteristic
131#14583130C2211yescharacteristic
132#14583129C2211yescharacteristic
133#14583128C2211yescharacteristic
134#14583127C2211yescharacteristic
135#14583126C2211yescharacteristic
136#14583125C2211yescharacteristic
137#14583122C2211yescharacteristic, complemented
138#14583122C2211yescharacteristic, complemented
139#14583121C2211yescharacteristic, complemented
140#14583121C2211yescharacteristic, complemented
141#14583118C2211yescharacteristic, complemented
142#14583118C2211yescharacteristic, complemented
143#14583110C2211yescharacteristic, complemented
144#14583109C2211yescharacteristic, complemented
145#14583108C2211yescharacteristic, complemented
146#14583108C2211yescharacteristic, complemented
147#14583108C2211yescharacteristic, complemented
148#14583108C2211yescharacteristic, complemented
149#14583107C2211yescharacteristic, complemented
150#14583107C2211yescharacteristic, complemented
151#14583107C2211yescharacteristic, complemented
152#14583107C2211yescharacteristic, complemented
153#14583106C2211yescharacteristic, complemented
154#14583105C2211yescharacteristic, complemented
155#14583104C2211yescharacteristic, complemented
156#14583103C2211yescharacteristic, complemented
157#14583103C2211yescharacteristic, complemented
158#14583102C2211yescharacteristic, complemented
159#14583102C2211yescharacteristic, complemented
160#14583101C2211yescharacteristic, complemented
161#14583098C2211yescharacteristic, complemented
162#14583098C2211yescharacteristic, complemented
163#14583097C2211yescharacteristic, complemented
164#14583097C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582927C2211yescharacteristic
170#14582926C2211yescharacteristic
171#14582925C2211yescharacteristic
172#14582924C2211yescharacteristic
173#14582924C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582921C2211yescharacteristic
177#14582921C2211yescharacteristic
178#14582921C2211yescharacteristic
179#14582921C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582906C2211yescharacteristic
183#14582906C2211yescharacteristic
184#14582899C2211yescharacteristic
185#14582899C2211yescharacteristic
186#14582897C2211yescharacteristic
187#14582897C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#479C2211yescharacteristic, complemented
191C43×#478C2211yescharacteristic, complemented
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#464C2211yescharacteristic, complemented
199C43×#464C2211yescharacteristic, complemented
200C43×#462C2211yescharacteristic, complemented
201C43×#461C2211yescharacteristic, complemented
202C43×#424C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063357—42no—
209#13063357—42no—
210#13063354—42no—
211#13063354—42no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621877C2311yescharacteristic
225C2×#10621872—42no—
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232M16×D43—42no—
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063324—21no—
239#13063324—21no—
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063319—21no—
255#13063319—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063317—21no—
266#13063317—21no—
267#13063317—21no—
268#13063317C2311yescharacteristic
269#13063316—21no—
270#13063316—21no—
271#13063316—21no—
272#13063316—21no—
273#13063316—21no—
274#13063316C2311yescharacteristic
275#13063316C2311yescharacteristic
276#13063316C2311yescharacteristic
277#13063316C2311yescharacteristic
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063315—21no—
289#13063315—21no—
290#13063314—21no—
291#13063313C2311yescharacteristic
292#13063311—21no—
293#13063311—21no—
294#13063310—21no—
295#13063310—21no—
296#13063309—21no—
297#13063309—21no—
298#13063308—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063305—21no—
304#13063305C2311yescharacteristic
305#13063305C2311yescharacteristic
306#13063305C2311yescharacteristic
307#13063304C2311yescharacteristic
308#13063304C2311yescharacteristic
309#13063304C2311yescharacteristic
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063301—21no—
317#13063301—21no—
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063301C2311yescharacteristic
321#13063300C2311yescharacteristic
322#13063299—21no—
323#13063299C2311yescharacteristic
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063297—21no—
328#13063296—21no—
329#13063296C2311yescharacteristic
330#13063295—21no—
331#13063293—21no—
332Q8×Dic43—21no—
333Q8×Dic43C2311yescharacteristic
334Q8×Dic43C2311yescharacteristic
335Q8×Dic43C2311yescharacteristic
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290—21no—
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347C4×D172—21no—
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283D411yescharacteristic
363#13063283D411yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281D411yescharacteristic
370#13063281D411yescharacteristic
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43D411yescharacteristic
380C4⋊C4×D43D411yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C4⋊C4×D43C2311yescharacteristic
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43D411yescharacteristic
386C22⋊C4×D43D411yescharacteristic
387C2×C4×Dic43—21no—
388C42×D43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407C4⋊(C43⋊C8)C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063250C2311yescharacteristic
420#13063250C2311yescharacteristic
421#13063250C2311yescharacteristic
422#13063250C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063249C2311yescharacteristic
425#13063249C2311yescharacteristic
426#13063249C2311yescharacteristic
427#13063249C2311yescharacteristic
428#13063249C2311yescharacteristic
429#13063248C2311yescharacteristic
430#13063248C2311yescharacteristic
431#13063248C2311yescharacteristic
432#13063248C2311yescharacteristic
433#13063248C2311yescharacteristic
434#13063248C2311yescharacteristic
435#13063247C2311yescharacteristic
436#13063247C2311yescharacteristic
437#13063246C2311yescharacteristic
438#13063246C2311yescharacteristic
439#13063245C2311yescharacteristic
440#13063245C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#126×C43—21no—
452#125×C43—21no—
453#125×C43—21no—
454#125×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472C4⋊C8×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C23×D43C2×D411yescharacteristic
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43C2×D411yescharacteristic
501#10621902—22no—
502#10621902—22no—
503Q8×D43—22no—
504Q8×D43—22no—
505Q8×D43—22no—
506Q8×D43—22no—
507#10621900—22no—
508#10621900—22no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2411yescharacteristic
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535Q16×C43—41no—
536Q16×C43—41no—
537SD16×C43—41no—
538SD16×C43—41no—
539M16×C43—41no—
540C2×C8×C43—41no—
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×C43—21no—
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×C43C2×D411yescharacteristic
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583#10621885—41no—
584#10621885—41no—
585#10621885—41no—
586#10621885—41no—
587#10621884—41no—
588#10621884—41no—
589#10621883—41no—
590#10621883—41no—
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)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—41no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682Dic172—41no—
683#10621873—41no—
684#10621873—41no—
685#10621872—22no—
686#10621872—22no—
687#10621872—22no—
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—41no—
692C8×D43—41no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C22×D43—22no—
696C22×D43—21no—
697C22×D43—41no—
698C22×D43—41no—
699C22×D43C22×D411yescharacteristic
700C22×D43C22×D411yescharacteristic
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—81no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—81no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—42no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C2×Dic43—22no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—21no—
749D172—21no—
750D172—42no—
751D172—81no—
752C4×D43—22no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—22no—
756C4×D43—41no—
757C4×D43—41no—
758C4×D43—41no—
759C4×D43—41no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43H(5,𝔽2)12yes—
768C4×D432−1+412yes—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—42no—
776Dic86—42no—
777Dic86—81no—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786#60921—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—82no—
803C2×D43#53712yes—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43C2×H(5,𝔽2)11yescharacteristic
817C4×C43C2×2−1+411yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#53712yes—
831#3455—431no—
832C2×#541—431no—
833#3261—431no—
834#3261—431no—
835#3261—431no—
836#3261—431no—
837#3260—431no—
838#3260—431no—
839#3260—431no—
840#3260—431no—
841#3258—431no—
842#3258—431no—
843#3258—431no—
844#3258—431no—
845#3258—431no—
846#3258—431no—
847#3258—431no—
848#3258D4311yescharacteristic, complemented
849#3080—431no—
850#3080—431no—
851#3078—431no—
852#3078—431no—
853#3056—431no—
854#3056—431no—
855#3056—431no—
856#3056—431no—
857#3039—431no—
858#3039—431no—
859#3037—431no—
860#3037—431no—
861#2905—431no—
862C2×C43—41no—
863C2×C43—81no—
864C2×C43C2×#53711yescharacteristic
865C2×C43#358611yescharacteristic
866C2×C43#358611yescharacteristic
867D43—22no—
868D43—41no—
869D43—81no—
870C2×#137—431no—
871C2×#137—431no—
872C2×#137—431no—
873C2×#137—431no—
874C22×M16—431no—
875C22×M16—431no—
876#542—431no—
877#542—431no—
878#542—431no—
879#542C2×D4311yescharacteristic
880#541—431no—
881#541—431no—
882#541—431no—
883#541—431no—
884#541—431no—
885#541—431no—
886#541—431no—
887#541—431no—
888#541—431no—
889#541—861no—
890#541—861no—
891#541—861no—
892#541—861no—
893#541C2×D4311yescharacteristic
894#540—431no—
895#540—431no—
896#539—861no—
897#539—861no—
898#538—861no—
899#538—861no—
900#533—431no—
901#532—431no—
902C2×C4⋊Q8—431no—
903#529—861no—
904#529—861no—
905#529—861no—
906#529—861no—
907C2×#126—861no—
908C2×#126—861no—
909C2×#125—431no—
910C2×#125—861no—
911C2×#125—861no—
912#525—431no—
913#525—431no—
914C2×C22⋊Q8—431no—
915C2×C22⋊Q8—431no—
916C4×#41—431no—
917C4×#41—431no—
918C2×C4×Q8—431no—
919C2×C4×Q8—431no—
920C2×#117—431no—
921#479—431no—
922#479—431no—
923#479—431no—
924#479—431no—
925#479—431no—
926#479—431no—
927#479—431no—
928#479—431no—
929#479—431no—
930#479—431no—
931#479—431no—
932#479—431no—
933#479—431no—
934#479—431no—
935#479—431no—
936#479C2×D4311yescharacteristic, complemented
937#478—431no—
938#478—431no—
939#478—431no—
940#478—431no—
941#478—431no—
942#478—431no—
943#478—431no—
944#478C2×D4311yescharacteristic, complemented
945#477—431no—
946#477—431no—
947#477—431no—
948#477C2×D4311yescharacteristic, complemented
949#475—431no—
950#475—431no—
951#475—431no—
952#475C2×D4311yescharacteristic, complemented
953#470—431no—
954#470—431no—
955#470—431no—
956#470—431no—
957#470—431no—
958#470—431no—
959#470—431no—
960#470C2×D4311yescharacteristic
961#468—431no—
962#468—431no—
963#468—431no—
964#468—431no—
965#468—431no—
966#468—431no—
967#468—431no—
968#468C2×D4311yescharacteristic
969#467—431no—
970#467—431no—
971#467—431no—
972#467—431no—
973#467—431no—
974#467—431no—
975#467—431no—
976#467C2×D4311yescharacteristic
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#465C2×D4311yescharacteristic
985#464—431no—
986#464—431no—
987#464—431no—
988#464—431no—
989#464—431no—
990#464—431no—
991#464C2×D4311yescharacteristic, complemented
992#464C2×D4311yescharacteristic, complemented
993#462—431no—
994#462—431no—
995#462—431no—
996#462—431no—
997#462—431no—
998#462—431no—
999#462—431no—
1000#462—431no—
1001#462—431no—
1002#462—431no—
1003#462—431no—
1004#462C2×D4311yescharacteristic, complemented
1005#461—431no—
1006#461—431no—
1007#461—431no—
1008#461—431no—
1009#461—431no—
1010#461—431no—
1011#461—431no—
1012#461C2×D4311yescharacteristic, complemented
1013#460—431no—
1014#460—431no—
1015#460—431no—
1016#460—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#424—431no—
1022#424—431no—
1023#424—431no—
1024#424—431no—
1025#424—431no—
1026#424—431no—
1027#424—431no—
1028#424C2×D4311yescharacteristic
1029#423—431no—
1030#423—431no—
1031#423—431no—
1032#423—431no—
1033#419—431no—
1034#419—431no—
1035#419—431no—
1036#419—431no—
1037#417—431no—
1038#417—431no—
1039#417—431no—
1040#417—431no—
1041C43#6092111yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C22×Q8—431no—
1045C22×Q8—431no—
1046C23×C4—431no—
1047#137—1722no—
1048#137—1722no—
1049#137—1722no—
1050#137—1722no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16C22×D4311yescharacteristic
1058C2×Q16C22×D4311yescharacteristic
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16C22×D4311yescharacteristic
1066C2×SD16C22×D4311yescharacteristic
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C2×M16—431no—
1072C2×M16—431no—
1073C2×M16—431no—
1074C2×M16—1722no—
1075C2×M16—1722no—
1076C2×M16C22×D4311yescharacteristic
1077C22×C8—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8C22×D4311yescharacteristic
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8C22×D4311yescharacteristic
1089C4⋊Q8C22×D4311yescharacteristic
1090#127—431no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—21no—
1116#125—21no—
1117#125—431no—
1118#125—431no—
1119#125—431no—
1120#125—431no—
1121#125—431no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125—861no—
1128#125—861no—
1129#125—861no—
1130#125—861no—
1131#125—861no—
1132#125—861no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125—861no—
1142#125C22×D4311yescharacteristic
1143#124—21no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124C22×D4311yescharacteristic
1149#123—21no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159C22⋊Q8—21no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—431no—
1165C22⋊Q8—431no—
1166C22⋊Q8—431no—
1167C22⋊Q8—431no—
1168C22⋊Q8—431no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8C22×D4311yescharacteristic
1179C22⋊Q8C22×D4311yescharacteristic
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121—861no—
1190#121C22×D4311yescharacteristic
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8C22×D4311yescharacteristic
1209C4×Q8C22×D4311yescharacteristic
1210C4×Q8C22×D4311yescharacteristic
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4C22×D4311yescharacteristic
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C42—431no—
1254C2×C42—431no—
1255C2×C42—861no—
1256C2×C42—861no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289C4⋊C8C22×D4311yescharacteristic
1290C4⋊C8C22×D4311yescharacteristic
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323C24—431no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328C2×Q8—21no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—862no—
1335C2×Q8—862no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8—861no—
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×Q8C23×D4311yescharacteristic
1342C2×D4—21no—
1343C2×D4—431no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4C23×D4311yescharacteristic
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—862no—
1363C22×C4—862no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4C23×D4311yescharacteristic
1374Q16—41no—
1375Q16—41no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381Q16—1721no—
1382SD16—41no—
1383SD16—41no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390M16—41no—
1391M16—862no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—1721no—
1396M16—1721no—
1397M16—1721no—
1398C2×C8—41no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—1721no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
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—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
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—431no—
1430C4⋊C4—431no—
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⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4D4×D4311yescharacteristic
1471C4⋊C4D4×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C4⋊C4C23×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
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⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4D4×D4311yescharacteristic
1509C22⋊C4D4×D4311yescharacteristic
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—431no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42C23×D4311yescharacteristic
1531C42C23×D4311yescharacteristic
1532C23—21no—
1533C23—431no—
1534C23—431no—
1535C23—862no—
1536C23—861no—
1537C23—1721no—
1538C23—1721no—
1539C23C2×D4×D4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—81no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—1722no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—81no—
1559D4—861no—
1560D4—861no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—1722no—
1567D4—1722no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—81no—
1578C2×C4—431no—
1579C2×C4—432no—
1580C2×C4—432no—
1581C2×C4—431no—
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—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1721no—
1604C2×C4—1721no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
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×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C8—861no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—3442no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—432no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4H(5,𝔽2)×D4311yescharacteristic
1668C42−1+4×D4311yescharacteristic
1669C2—41no—
1670C2—81no—
1671C2—862no—
1672C2—3441no—
1673C2—1721no—
1674C2#537×D4311yescharacteristic
1675C2#1914937711yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3258C2
socleC22×C43C23×D4
prime radical#19147982C2
hypercenter#3258D43
hypocenterC43#60921
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3258

Complements

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

NH ≅ G/Ntype
2. #541×D43C2semidirect
3. #19146048C2semidirect
4. #19146047C2semidirect
5. #19146046C2semidirect
6. #19146044C2semidirect
7. #19146043C2semidirect
8. #19146038C2semidirect
9. #19146037C2semidirect
10. #19146035C2semidirect
11. #19146028C2semidirect
12. #19146026C2semidirect
13. #19146023C2semidirect
14. #19146021C2semidirect
15. #19146020C2semidirect
16. #19146018C2semidirect
17. #19146015C2semidirect
18. #19144414C2semidirect
19. #19144412C2semidirect
20. #19144401C2semidirect
21. #19144395C2semidirect
22. #19144224C2semidirect
23. #19144222C2semidirect
24. #19144220C2semidirect
25. #19144218C2semidirect
26. #19144079C2semidirect
27. #19144077C2semidirect
28. #19144065C2semidirect
29. #19144065C2semidirect
30. #19143156C2semidirect
31. C43×#3258C2semidirect
81. #14583209C22semidirect
82. #14583209C22semidirect
83. #14583209C22semidirect
84. #14583208C22semidirect
85. #14583208C22semidirect
86. #14583208C22semidirect
87. #14583207C22semidirect
88. #14583206C22semidirect
89. #14583205C22semidirect
90. #14583205C22semidirect
91. #14583205C22semidirect
92. #14583204C22semidirect
93. #14583204C22semidirect
94. #14583204C22semidirect
95. #14583203C22semidirect
96. #14583202C22semidirect
97. #14583201C22semidirect
98. #14583200C22semidirect
99. #14583199C22semidirect
100. #14583198C22semidirect
101. #14583197C22semidirect
102. #14583196C22semidirect
103. #14583195C22semidirect
104. #14583194C22semidirect
105. #14583191C22semidirect
106. #14583185C22semidirect
107. #14583184C22semidirect
108. #14583181C22semidirect
137. #14583122C22semidirect
138. #14583122C22semidirect
139. #14583121C22semidirect
140. #14583121C22semidirect
141. #14583118C22semidirect
142. #14583118C22semidirect
143. #14583110C22semidirect
144. #14583109C22semidirect
145. #14583108C22semidirect
146. #14583108C22semidirect
147. #14583108C22semidirect
148. #14583108C22semidirect
149. #14583107C22semidirect
150. #14583107C22semidirect
151. #14583107C22semidirect
152. #14583107C22semidirect
153. #14583106C22semidirect
154. #14583105C22semidirect
155. #14583104C22semidirect
156. #14583103C22semidirect
157. #14583103C22semidirect
158. #14583102C22semidirect
159. #14583102C22semidirect
160. #14583101C22semidirect
161. #14583098C22semidirect
162. #14583098C22semidirect
163. #14583097C22semidirect
164. #14583097C22semidirect
190. C43×#479C22semidirect
191. C43×#478C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
198. C43×#464C22semidirect
199. C43×#464C22semidirect
200. C43×#462C22semidirect
201. C43×#461C22semidirect
848. #3258D43semidirect
936. #479C2×D43semidirect
944. #478C2×D43semidirect
948. #477C2×D43semidirect
952. #475C2×D43semidirect
991. #464C2×D43semidirect
992. #464C2×D43semidirect
1004. #462C2×D43semidirect
1012. #461C2×D43semidirect
1041. C43#60921semidirect

Maximal subgroups

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

subgroupindex
#191479822
#541×D432
#191460482
#191460472
#191460462
#191460442
#191460432
#191460382
#191460372
#191460352
#191460282
#191460262
#191460232
#191460212
#191460202
#191460182
#191460152
#191444142
#191444122
#191444012
#191443952
#191442242
#191442222
#191442202
#191442182
#191440792
#191440772
#191440652
#191431562
C43×#32582
#6092143