Finite Group Databasebeta

← #25979901

Subgroups — #25979901

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148667C211yesmaximal, characteristic, complemented
2#19147670C211yesmaximal, characteristic, complemented
3#19147490C211yesmaximal, characteristic, complemented
4#19147416C211yesmaximal, characteristic, complemented
5#19147313C211yesmaximal, characteristic, complemented
6#19147210C211yesmaximal, characteristic, complemented
7#19147074C211yesmaximal, characteristic, complemented
8#19147029C211yesmaximal, characteristic, complemented
9#19146905C211yesmaximal, characteristic, complemented
10#19146796C211yesmaximal, characteristic, complemented
11#19146691C211yesmaximal, characteristic, complemented
12#19146670C211yesmaximal, characteristic, complemented
13#19146631C211yesmaximal, characteristic, complemented
14#19146550C211yesmaximal, characteristic, complemented
15#19146202C211yesmaximal, characteristic, complemented
16#19146121C211yesmaximal, characteristic, complemented
17#19146116C211yesmaximal, characteristic, complemented
18#19145257C211yesmaximal, characteristic, complemented
19#19145206C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19144872C211yesmaximal, characteristic, complemented
22#19144851C211yesmaximal, characteristic, complemented
23#19144809C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144751C211yesmaximal, characteristic, complemented
26#19144733C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143468C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3520C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583619C2211yescharacteristic
37#14583609C2211yescharacteristic, complemented
38#14583595C2211yescharacteristic
39#14583594—21no—
40#14583589C2211yescharacteristic, complemented
41#14583581—21no—
42#14583579—21no—
43#14583577—21no—
44#14583554C2211yescharacteristic
45#14583545C2211yescharacteristic
46#14583545C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic, complemented
48#14583511C2211yescharacteristic, complemented
49#14583495—21no—
50#14583481—21no—
51#14583433C2211yescharacteristic
52#14583432—21no—
53#126×D43—21no—
54#14583379C2211yescharacteristic, complemented
55#14583373C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic
57#14583305C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583295C2211yescharacteristic, complemented
60#14583294C2211yescharacteristic, complemented
61#14583291C2211yescharacteristic, complemented
62#14583281C2211yescharacteristic
63#14583267C2211yescharacteristic, complemented
64#14583261C2211yescharacteristic, complemented
65#14583261C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583251C2211yescharacteristic, complemented
69#14583237C2211yescharacteristic, complemented
70#14583237C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583234C2211yescharacteristic, complemented
73#14583232C2211yescharacteristic, complemented
74#14583229C2211yescharacteristic, complemented
75#14583229C2211yescharacteristic, complemented
76#14583229C2211yescharacteristic, complemented
77#14583220C2211yescharacteristic
78#14583217C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic, complemented
83#14583199C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583191C2211yescharacteristic, complemented
86#14583191C2211yescharacteristic, complemented
87#14583189C2211yescharacteristic, complemented
88#14583186C2211yescharacteristic, complemented
89#14583186C2211yescharacteristic, complemented
90#14583184C2211yescharacteristic, complemented
91#14583176C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583155C2211yescharacteristic, complemented
95#14583155C2211yescharacteristic, complemented
96#14583155C2211yescharacteristic, complemented
97#14583150C2211yescharacteristic
98#14583147C2211yescharacteristic
99#14583147C2211yescharacteristic
100#14583143C2211yescharacteristic
101#14583138C2211yescharacteristic, complemented
102#14583130C2211yescharacteristic, complemented
103#14583126C2211yescharacteristic
104#14583126C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583118C2211yescharacteristic, complemented
107#14583114C2211yescharacteristic
108#14583114C2211yescharacteristic
109#14583114C2211yescharacteristic
110#14583111C2211yescharacteristic
111#14583111C2211yescharacteristic
112#14583111C2211yescharacteristic
113#14583109C2211yescharacteristic, complemented
114#14583106C2211yescharacteristic, complemented
115#14583104C2211yescharacteristic, complemented
116#14583101C2211yescharacteristic, complemented
117#14583061C2211yescharacteristic
118#14583061C2211yescharacteristic
119#14583061C2211yescharacteristic, complemented
120#14583059C2211yescharacteristic
121#14583059C2211yescharacteristic
122#14583059C2211yescharacteristic, complemented
123#14583050C2211yescharacteristic, complemented
124#14583049C2211yescharacteristic, complemented
125#14583044C2211yescharacteristic
126#14583042C2211yescharacteristic
127#14583033C2211yescharacteristic
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic
136#14583004C2211yescharacteristic, complemented
137#14583004C2211yescharacteristic, complemented
138#14582999C2211yescharacteristic, complemented
139#14582999C2211yescharacteristic, complemented
140#14582999C2211yescharacteristic, complemented
141#14582999C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic, complemented
151C4×#10621884C2211yescharacteristic, complemented
152C4×#10621884C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621883C2211yescharacteristic, complemented
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic
157C4×#10621882C2211yescharacteristic
158C4×#10621882C2211yescharacteristic
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582939C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170C2×#13063258C2211yescharacteristic, complemented
171#14582904C2211yescharacteristic, complemented
172#14582900C2211yescharacteristic, complemented
173#14582898C2211yescharacteristic
174#14582898C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic
176C2×#13063245C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#556C2211yescharacteristic, complemented
181C43×#554C2211yescharacteristic
182C43×#554C2211yescharacteristic, complemented
183C43×#552—21no—
184C43×#551—21no—
185C43×#551—21no—
186D4×Q8×C43C2211yescharacteristic, complemented
187C43×#548—21no—
188C43×#547C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#546C2211yescharacteristic
191C43×#546C2211yescharacteristic, complemented
192C43×#542C2211yescharacteristic
193C43×#542C2211yescharacteristic, complemented
194C43×#539—21no—
195C43×#539—21no—
196C43×#533C2211yescharacteristic, complemented
197C43×#529C2211yescharacteristic
198C43×#525—21no—
199C2×C22⋊Q8×C43—21no—
200C43×#520C2211yescharacteristic
201C43×#520C2211yescharacteristic, complemented
202C2×C4×D4×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C22×D172C2311yescharacteristic
206#13063351—24no—
207#13063350—24no—
208#13063345—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063313C2311yescharacteristic
249#13063313C2311yescharacteristic
250#13063312—21no—
251#13063311—21no—
252#13063310—21no—
253#13063310—21no—
254#13063308—21no—
255#13063307—21no—
256#13063307—21no—
257#13063307—21no—
258#13063307—21no—
259#13063306—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063304C2311yescharacteristic
263#13063304C2311yescharacteristic
264#13063303—21no—
265#13063303—21no—
266#13063303—21no—
267#13063301—21no—
268#13063301—21no—
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063297—21no—
274#13063296—21no—
275#13063293—21no—
276#13063293—21no—
277C4×Dic86C2311yescharacteristic
278C4×Dic86C2311yescharacteristic
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281#13063290—21no—
282C4×D172C2311yescharacteristic
283C4×D172C2311yescharacteristic
284C4×D172C2311yescharacteristic
285C4×D172C2311yescharacteristic
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288#13063287—21no—
289#13063287—21no—
290C4×C22⋊D43—21no—
291C4×C22⋊D43—21no—
292C4×C22⋊D43—21no—
293(C22⋊D43)⋊C4—21no—
294(C22⋊D43)⋊C4—21no—
295(C22⋊D43)⋊C4—21no—
296#13063284C2311yescharacteristic
297#13063284C2311yescharacteristic
298#13063283—21no—
299#13063283—21no—
300#13063282—21no—
301#13063282—21no—
302#13063281—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C4⋊C4×D43—21no—
305C4⋊C4×D43—21no—
306C4⋊C4×D43—21no—
307C22⋊C4×D43—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—21no—
310C22⋊C4×D43—21no—
311C42×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063249C2311yescharacteristic
339#13063249C2311yescharacteristic
340#13063249C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063248C2311yescharacteristic
343#13063248C2311yescharacteristic
344#13063248C2311yescharacteristic
345#13063248C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063246C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
358#13063245C2311yescharacteristic
359#13063245C2311yescharacteristic
360#13063245C2311yescharacteristic
361#13063245C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43—21no—
383C2×#41×C43C2311yescharacteristic
384C2×#41×C43C2311yescharacteristic
385C22×Q8×C43—21no—
386C22×D4×C43C2311yescharacteristic
387C23×C4×C43—21no—
388C4⋊Q8×C43C2311yescharacteristic
389C4⋊Q8×C43C2311yescharacteristic
390C4⋊Q8×C43C2311yescharacteristic
391C4⋊Q8×C43C2311yescharacteristic
392#126×C43—21no—
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43D411yescharacteristic
397#126×C43D411yescharacteristic
398#125×C43—21no—
399#125×C43—21no—
400#125×C43—21no—
401#125×C43D411yescharacteristic
402#124×C43—21no—
403#124×C43—21no—
404#124×C43D411yescharacteristic
405#124×C43C2311yescharacteristic
406#124×C43C2311yescharacteristic
407#123×C43—21no—
408#123×C43—21no—
409#123×C43—21no—
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43D411yescharacteristic
416#123×C43D411yescharacteristic
417C22⋊Q8×C43—21no—
418C22⋊Q8×C43—21no—
419C22⋊Q8×C43—21no—
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43—21no—
426C22⋊Q8×C43—21no—
427C22⋊Q8×C43—21no—
428C22⋊Q8×C43—21no—
429C22⋊Q8×C43D411yescharacteristic
430C22⋊Q8×C43C2311yescharacteristic
431C22⋊Q8×C43C2311yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433C22⋊Q8×C43C2311yescharacteristic
434#121×C43—21no—
435#121×C43—21no—
436#121×C43—21no—
437#121×C43D411yescharacteristic
438#121×C43C2311yescharacteristic
439#121×C43C2311yescharacteristic
440#120×C43—21no—
441#120×C43—21no—
442C4×Q8×C43—21no—
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467#117×C43—21no—
468#117×C43—21no—
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471C2×C4⋊C4×C43—21no—
472C2×C4⋊C4×C43—21no—
473C2×C4⋊C4×C43—21no—
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C4⋊C4×C43C2311yescharacteristic
476C2×C4⋊C4×C43C2311yescharacteristic
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C22⋊C4×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487#41×C43—82no—
488C2×Q8×C43—21no—
489C2×Q8×C43—21no—
490C2×Q8×C43—21no—
491C2×Q8×C43—82no—
492C2×Q8×C43C2×D411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—22no—
501C2×D4×C43—41no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—82no—
519C22×C4×C43C2×D411yescharacteristic
520C22×C4×C43C2×D411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C22×Dic43—21no—
529#10621898—22no—
530#10621898—22no—
531#10621898—41no—
532#10621898—41no—
533C2×D172—21no—
534C2×D172—22no—
535C2×D172—41no—
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×Dic86—21no—
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
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×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C42×C43—21no—
606C42×C43—21no—
607C42×C43—21no—
608C42×C43—21no—
609C42×C43C2×D411yescharacteristic
610C42×C43C2×D411yescharacteristic
611C42×C43C2411yescharacteristic
612C42×C43C2411yescharacteristic
613C42×C43C2411yescharacteristic
614C42×C43C2411yescharacteristic
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43—21no—
620C22⋊Dic43—21no—
621#10621885—22no—
622#10621885—41no—
623#10621885—41no—
624#10621885—41no—
625#10621884—22no—
626#10621884—22no—
627#10621884—22no—
628#10621884—41no—
629#10621883—22no—
630#10621883—22no—
631#10621883—22no—
632#10621883—41no—
633#10621882—22no—
634#10621882—22no—
635#10621882—41no—
636#10621882#4114yescomplemented
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675#10621877—22no—
676#10621877—22no—
677#10621877—41no—
678#10621877—41no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8—41no—
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—81no—
701C22×D43—81no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—41no—
707Q8×C43—42no—
708Q8×C43—81no—
709Q8×C43—81no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—41no—
714D4×C43—41no—
715D4×C43—41no—
716D4×C43—42no—
717D4×C43—42no—
718D4×C43—42no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43C2×#4112yes—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—41no—
735C2×C4×C43—41no—
736C2×C4×C43—42no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—42no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43—81no—
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C2511yescharacteristic
759C22⋊D43—42no—
760C22⋊D43—42no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—81no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—42no—
774D172C2×#4112yes—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—21no—
787Dic86—81no—
788C43⋊C8—21no—
789C43⋊C8—21no—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—22no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—22no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43C22×#4111yescharacteristic
839C4×C43#58511yescharacteristic
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3521—431no—
847#3520D4311yescharacteristic, complemented
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322—431no—
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172—431no—
867#3125—431no—
868#3124—431no—
869#3120—431no—
870#3118—431no—
871#3116—431no—
872#3114—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—42no—
881C2×C43—81no—
882C2×C43D4×#4111yescharacteristic
883C2×C43#358511yescharacteristic
884C2×C43#358611yescharacteristic
885D43—42no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#556—431no—
891#556—431no—
892#556C2×D4311yescharacteristic, complemented
893#554—431no—
894#554C2×D4311yescharacteristic
895#554C2×D4311yescharacteristic, complemented
896#553—431no—
897#553—861no—
898#552—21no—
899#552—431no—
900#552—861no—
901#551—21no—
902#551—21no—
903#551—861no—
904#551—861no—
905D4×Q8C2×D4311yescharacteristic, complemented
906#548—21no—
907#547—431no—
908#547C2×D4311yescharacteristic
909#547C2×D4311yescharacteristic
910#546—431no—
911#546—431no—
912#546C2×D4311yescharacteristic
913#546C2×D4311yescharacteristic, complemented
914#542—431no—
915#542C2×D4311yescharacteristic
916#542C2×D4311yescharacteristic, complemented
917#541—431no—
918#539—21no—
919#539—21no—
920#539—861no—
921#538—861no—
922#533C2×D4311yescharacteristic, complemented
923#529—431no—
924#529—861no—
925#529C2×D4311yescharacteristic
926C2×#126—861no—
927#525—21no—
928C2×C22⋊Q8—21no—
929#520—431no—
930#520C2×D4311yescharacteristic
931#520C2×D4311yescharacteristic, complemented
932#518—431no—
933C4×#41—431no—
934C2×C4×D4C2×D4311yescharacteristic, complemented
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#483—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#470—431no—
975#469—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#462—431no—
992#462—431no—
993#461—431no—
994#461—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452—431no—
1000#452—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#447—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—21no—
1065C22×D4—431no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—21no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×Q16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8C22×D4311yescharacteristic
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098C4⋊Q8C22×D4311yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
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#126C22⋊D4311yescharacteristic
1114#126C22⋊D4311yescharacteristic
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22⋊D4311yescharacteristic
1124#124—21no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124C22⋊D4311yescharacteristic
1131#124C22×D4311yescharacteristic
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123C22⋊D4311yescharacteristic
1150#123C22⋊D4311yescharacteristic
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—431no—
1164C22⋊Q8—431no—
1165C22⋊Q8—431no—
1166C22⋊Q8—431no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22⋊D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175C22⋊Q8C22×D4311yescharacteristic
1176C22⋊Q8C22×D4311yescharacteristic
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22⋊D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8C22×D4311yescharacteristic
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—431no—
1240#117—431no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117C22×D4311yescharacteristic
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289#103—431no—
1290#103—431no—
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#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344#41—862no—
1345#41—862no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—82no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8C2×C22⋊D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—41no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—1721no—
1374C2×D4C2×C22⋊D4311yescharacteristic
1375C2×D4C2×C22⋊D4311yescharacteristic
1376C2×D4C2×C22⋊D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—82no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4C2×C22⋊D4311yescharacteristic
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408Q16—1721no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417D8—434no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—862no—
1434C2×C8—1721no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
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⋊C4—861no—
1471C4⋊C4C2×C22⋊D4311yescharacteristic
1472C4⋊C4C2×C22⋊D4311yescharacteristic
1473C4⋊C4C2×C22⋊D4311yescharacteristic
1474C4⋊C4C2×C22⋊D4311yescharacteristic
1475C4⋊C4C2×C22⋊D4311yescharacteristic
1476C4⋊C4C2×C22⋊D4311yescharacteristic
1477C4⋊C4C2×C22⋊D4311yescharacteristic
1478C4⋊C4C2×C22⋊D4311yescharacteristic
1479C4⋊C4C2×C22⋊D4311yescharacteristic
1480C4⋊C4C2×C22⋊D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4C2×C22⋊D4311yescharacteristic
1520C22⋊C4C2×C22⋊D4311yescharacteristic
1521C22⋊C4C2×C22⋊D4311yescharacteristic
1522C22⋊C4C2×C22⋊D4311yescharacteristic
1523C22⋊C4C2×C22⋊D4311yescharacteristic
1524C22⋊C4C2×C22⋊D4311yescharacteristic
1525C22⋊C4C2×C22⋊D4311yescharacteristic
1526C22⋊C4C2×C22⋊D4311yescharacteristic
1527C22⋊C4C2×C22⋊D4311yescharacteristic
1528C22⋊C4C2×C22⋊D4311yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C2×C22⋊D4311yescharacteristic
1540C42C2×C22⋊D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—81no—
1550C23—861no—
1551C23—861no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23C22×C22⋊D4311yescharacteristic
1556C23C22×C22⋊D4311yescharacteristic
1557C23C22×C22⋊D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—41no—
1563Q8—42no—
1564Q8—81no—
1565Q8—81no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—861no—
1570Q8—3441no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—81no—
1581D4—81no—
1582D4—432no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4C22×C22⋊D4311yescharacteristic
1633C2×C4C22×C22⋊D4311yescharacteristic
1634C2×C4C22×C22⋊D4311yescharacteristic
1635C2×C4C22×C22⋊D4311yescharacteristic
1636C2×C4C22×C22⋊D4311yescharacteristic
1637C2×C4C22×C22⋊D4311yescharacteristic
1638C2×C4C22×C22⋊D4311yescharacteristic
1639C2×C4C22×C22⋊D4311yescharacteristic
1640C2×C4C22×C22⋊D4311yescharacteristic
1641C2×C4C22×C22⋊D4311yescharacteristic
1642C2×C4C22×C22⋊D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—432no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—862no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C23×C22⋊D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—3441no—
1707C2—1722no—
1708C2#41×C22⋊D4311yescharacteristic
1709C2#1914937511yescharacteristic
1710C2#1914938211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3520C2
socleC22×C43C23×D4
hypercenter#3520D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #19148667C2semidirect
2. #19147670C2semidirect
3. #19147490C2semidirect
4. #19147416C2semidirect
5. #19147313C2semidirect
6. #19147210C2semidirect
7. #19147074C2semidirect
8. #19147029C2semidirect
9. #19146905C2semidirect
10. #19146796C2semidirect
11. #19146691C2semidirect
12. #19146670C2semidirect
13. #19146631C2semidirect
14. #19146550C2semidirect
15. #19146202C2semidirect
16. #19146121C2semidirect
17. #19146116C2semidirect
18. #19145257C2semidirect
19. #19145206C2semidirect
20. #19145195C2semidirect
21. #19144872C2semidirect
22. #19144851C2semidirect
23. #19144809C2semidirect
24. #19144773C2semidirect
25. #19144751C2semidirect
26. #19144733C2semidirect
27. #19143582C2semidirect
28. #19143468C2semidirect
29. #19143423C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3520C2semidirect
35. #14583622C22semidirect
37. #14583609C22semidirect
40. #14583589C22semidirect
46. #14583545C22semidirect
47. #14583520C22semidirect
48. #14583511C22semidirect
54. #14583379C22semidirect
55. #14583373C22semidirect
57. #14583305C22semidirect
58. #14583305C22semidirect
59. #14583295C22semidirect
60. #14583294C22semidirect
61. #14583291C22semidirect
63. #14583267C22semidirect
64. #14583261C22semidirect
65. #14583261C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
68. #14583251C22semidirect
69. #14583237C22semidirect
70. #14583237C22semidirect
71. #14583237C22semidirect
72. #14583234C22semidirect
73. #14583232C22semidirect
74. #14583229C22semidirect
75. #14583229C22semidirect
76. #14583229C22semidirect
78. #14583217C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583199C22semidirect
83. #14583199C22semidirect
84. #14583199C22semidirect
85. #14583191C22semidirect
86. #14583191C22semidirect
87. #14583189C22semidirect
88. #14583186C22semidirect
89. #14583186C22semidirect
90. #14583184C22semidirect
91. #14583176C22semidirect
92. #14583176C22semidirect
93. #14583155C22semidirect
94. #14583155C22semidirect
95. #14583155C22semidirect
96. #14583155C22semidirect
101. #14583138C22semidirect
102. #14583130C22semidirect
104. #14583126C22semidirect
105. #14583121C22semidirect
106. #14583118C22semidirect
113. #14583109C22semidirect
114. #14583106C22semidirect
115. #14583104C22semidirect
116. #14583101C22semidirect
119. #14583061C22semidirect
122. #14583059C22semidirect
123. #14583050C22semidirect
124. #14583049C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
136. #14583004C22semidirect
137. #14583004C22semidirect
138. #14582999C22semidirect
139. #14582999C22semidirect
140. #14582999C22semidirect
141. #14582999C22semidirect
142. #14582999C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
150. C4×#10621884C22semidirect
151. C4×#10621884C22semidirect
152. C4×#10621884C22semidirect
153. C4×#10621883C22semidirect
154. C4×#10621883C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582939C22semidirect
169. #14582939C22semidirect
170. C2×#13063258C22semidirect
171. #14582904C22semidirect
172. #14582900C22semidirect
174. #14582898C22semidirect
176. C2×#13063245C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
180. C43×#556C22semidirect
182. C43×#554C22semidirect
186. D4×Q8×C43C22semidirect
191. C43×#546C22semidirect
193. C43×#542C22semidirect
196. C43×#533C22semidirect
201. C43×#520C22semidirect
202. C2×C4×D4×C43C22semidirect
636. #10621882#41semidirect
847. #3520D43semidirect
892. #556C2×D43semidirect
895. #554C2×D43semidirect
905. D4×Q8C2×D43semidirect
913. #546C2×D43semidirect
916. #542C2×D43semidirect
922. #533C2×D43semidirect
931. #520C2×D43semidirect
934. C2×C4×D4C2×D43semidirect
1058. C43#61510semidirect

Maximal subgroups

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

subgroupindex
#191486672
#191476702
#191474902
#191474162
#191473132
#191472102
#191470742
#191470292
#191469052
#191467962
#191466912
#191466702
#191466312
#191465502
#191462022
#191461212
#191461162
#191452572
#191452062
#191451952
#191448722
#191448512
#191448092
#191447732
#191447512
#191447332
#191435822
#191434682
#191434232
C4×#130633512
C43×#35202
#6151043