Finite Group Databasebeta

← #25979634

Subgroups — #25979634

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 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#19147549C211yesmaximal, characteristic, complemented
4#19147244C211yesmaximal, characteristic, complemented
5#19147240C211yesmaximal, characteristic, complemented
6#19147164C211yesmaximal, characteristic, complemented
7#19147140C211yesmaximal, characteristic, complemented
8#19147134C211yesmaximal, characteristic, complemented
9#19146512C211yesmaximal, characteristic, complemented
10#19146506C211yesmaximal, characteristic, complemented
11#19146445C211yesmaximal, characteristic, complemented
12#19146439C211yesmaximal, characteristic, complemented
13#19146430C211yesmaximal, characteristic, complemented
14#19146424C211yesmaximal, characteristic, complemented
15#19146202C211yesmaximal, characteristic, complemented
16#19146121C211yesmaximal, characteristic, complemented
17#19146116C211yesmaximal, characteristic, complemented
18#19145265C211yesmaximal, characteristic, complemented
19#19145257C211yesmaximal, characteristic, complemented
20#19145159C211yesmaximal, characteristic, complemented
21#19144809C211yesmaximal, characteristic, complemented
22#19144803C211yesmaximal, characteristic, complemented
23#19144779C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144704C211yesmaximal, characteristic, complemented
26#19144698C211yesmaximal, characteristic, complemented
27#19143571C211yesmaximal, characteristic, complemented
28#19143427C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063345C211yesmaximal, characteristic, complemented
31C43×#3521C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583619C2211yescharacteristic, complemented
37#14583609C2211yescharacteristic, complemented
38#14583595C2211yescharacteristic
39#14583594—21no—
40#14583589C2211yescharacteristic
41#14583581—21no—
42#14583579—21no—
43#14583577—21no—
44#14583554C2211yescharacteristic
45#14583545C2211yescharacteristic
46#14583545C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic
48#14583511C2211yescharacteristic, complemented
49#14583495—21no—
50#14583481—21no—
51#14583433C2211yescharacteristic, complemented
52#14583432—21no—
53#126×D43—21no—
54#14583379C2211yescharacteristic
55#14583373C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic, complemented
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583294C2211yescharacteristic, complemented
61#14583291C2211yescharacteristic, complemented
62#14583281C2211yescharacteristic
63#14583256C2211yescharacteristic, complemented
64#14583256C2211yescharacteristic, complemented
65#14583253C2211yescharacteristic, complemented
66#14583253C2211yescharacteristic, complemented
67#14583251C2211yescharacteristic, complemented
68#14583249C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic, complemented
70#14583240C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583237C2211yescharacteristic, complemented
73#14583234C2211yescharacteristic, complemented
74#14583232C2211yescharacteristic, complemented
75#14583229C2211yescharacteristic, complemented
76#14583227C2211yescharacteristic, complemented
77#14583223C2211yescharacteristic
78#14583223C2211yescharacteristic, complemented
79#14583220C2211yescharacteristic
80#14583220C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583206C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583203C2211yescharacteristic, complemented
85#14583199C2211yescharacteristic, complemented
86#14583199C2211yescharacteristic, complemented
87#14583196C2211yescharacteristic, complemented
88#14583196C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic, complemented
90#14583186C2211yescharacteristic, complemented
91#14583179C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583155C2211yescharacteristic, complemented
95#14583147C2211yescharacteristic
96#14583143C2211yescharacteristic
97#14583138C2211yescharacteristic, complemented
98#14583138C2211yescharacteristic, complemented
99#14583138C2211yescharacteristic, complemented
100#14583133C2211yescharacteristic
101#14583130C2211yescharacteristic
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
130Q8×C43⋊C8C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583004C2211yescharacteristic, complemented
136#14583004C2211yescharacteristic, complemented
137#14582999C2211yescharacteristic, complemented
138#14582999C2211yescharacteristic, complemented
139#14582999C2211yescharacteristic, complemented
140#14582997C2211yescharacteristic, complemented
141#14582997C2211yescharacteristic, complemented
142#14582997C2211yescharacteristic, complemented
143C4×#10621885C2211yescharacteristic, complemented
144C4×#10621885C2211yescharacteristic, complemented
145C4×#10621885C2211yescharacteristic, complemented
146C4×#10621884C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic, complemented
148C4×#10621884C2211yescharacteristic, complemented
149C4×#10621884C2211yescharacteristic, complemented
150C4×#10621883C2211yescharacteristic, complemented
151C4×#10621883C2211yescharacteristic, complemented
152C4×#10621883C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621882C2211yescharacteristic
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic
157C4×#10621882C2211yescharacteristic
158C4×#10621882C2211yescharacteristic
159#14582977C2211yescharacteristic
160#14582971C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic, complemented
162D4×C43⋊C8C2211yescharacteristic
163D4×C43⋊C8C2211yescharacteristic, complemented
164D4×C43⋊C8C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582895C2211yescharacteristic
172#14582895C2211yescharacteristic, complemented
173#14582893C2211yescharacteristic
174#14582893C2211yescharacteristic, complemented
175C2×#13063246C2211yescharacteristic, complemented
176C2×#13063245C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C2×C4×C43⋊C8C2211yescharacteristic, complemented
180C43×#556C2211yescharacteristic, complemented
181C43×#556C2211yescharacteristic, complemented
182C43×#554C2211yescharacteristic, complemented
183C43×#553—21no—
184C43×#553C2211yescharacteristic
185C43×#552—21no—
186C43×#552C2211yescharacteristic
187C43×#551—21no—
188C43×#551—21no—
189C43×#547C2211yescharacteristic
190C43×#546C2211yescharacteristic
191C43×#546C2211yescharacteristic, complemented
192C43×#542C2211yescharacteristic
193C43×#541C2211yescharacteristic, complemented
194C43×#539—21no—
195C43×#538—21no—
196C43×#529—21no—
197C43×#529C2211yescharacteristic
198C43×#529C2211yescharacteristic, complemented
199C2×#126×C43—21no—
200C43×#520C2211yescharacteristic
201C43×#518C2211yescharacteristic, complemented
202C4×#41×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
227C22×C43⋊C8C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
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
376C4×C43⋊C8C2311yescharacteristic
377C4×C43⋊C8C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43C2311yescharacteristic
383C2×#41×C43C2311yescharacteristic
384C22×D4×C43C2311yescharacteristic
385C4⋊Q8×C43C2311yescharacteristic
386C4⋊Q8×C43C2311yescharacteristic
387#126×C43—21no—
388#126×C43—21no—
389#126×C43—21no—
390#126×C43—21no—
391#126×C43—21no—
392#126×C43—21no—
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43—21no—
397#126×C43D411yescharacteristic
398#126×C43D411yescharacteristic
399#125×C43—21no—
400#125×C43—21no—
401#125×C43—21no—
402#125×C43D411yescharacteristic
403#125×C43C2311yescharacteristic
404#125×C43C2311yescharacteristic
405#124×C43—21no—
406#124×C43—21no—
407#124×C43D411yescharacteristic
408#124×C43C2311yescharacteristic
409#124×C43C2311yescharacteristic
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43—21no—
416#123×C43—21no—
417#123×C43—21no—
418#123×C43D411yescharacteristic
419#123×C43D411yescharacteristic
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43D411yescharacteristic
426C22⋊Q8×C43C2311yescharacteristic
427C22⋊Q8×C43C2311yescharacteristic
428C22⋊Q8×C43C2311yescharacteristic
429C22⋊Q8×C43C2311yescharacteristic
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43—21no—
434#121×C43D411yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#120×C43—21no—
438#120×C43—21no—
439C4×Q8×C43—21no—
440C4×Q8×C43C2311yescharacteristic
441C4×Q8×C43C2311yescharacteristic
442C4×Q8×C43C2311yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×D4×C43—21no—
446C4×D4×C43—21no—
447C4×D4×C43—21no—
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464#117×C43—21no—
465#117×C43—21no—
466#117×C43—21no—
467#117×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
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×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C42×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—
487C2×Q8×C43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—22no—
497C2×D4×C43—41no—
498C2×D4×C43C2×D411yescharacteristic
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2×D411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43C2×D411yescharacteristic
513C22×C4×C43C2×D411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C22×Dic43—21no—
522#10621898—22no—
523#10621898—22no—
524#10621898—41no—
525#10621898—41no—
526C2×D172—21no—
527C2×D172—22no—
528C2×D172—41no—
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×Dic86—21no—
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
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×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43—21no—
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43C2×D411yescharacteristic
607C42×C43C2×D411yescharacteristic
608C42×C43C2411yescharacteristic
609C42×C43C2411yescharacteristic
610C42×C43C2411yescharacteristic
611C42×C43C2411yescharacteristic
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618#10621885—22no—
619#10621885—41no—
620#10621885—41no—
621#10621885—41no—
622#10621884—22no—
623#10621884—22no—
624#10621884—22no—
625#10621884—41no—
626#10621883—22no—
627#10621883—22no—
628#10621883—22no—
629#10621883—41no—
630#10621882—22no—
631#10621882—22no—
632#10621882—41no—
633#10621882#4114yes—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
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—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
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—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672#10621877—22no—
673#10621877—22no—
674C2×C43⋊C8—22no—
675C2×C43⋊C8—41no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8—41no—
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—42no—
689C23×C43—81no—
690C23×C43—81no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C23×C43C22×D411yescharacteristic
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—41no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—41no—
709D4×C43—41no—
710D4×C43—41no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43C2×#4112yes—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—41no—
730C2×C4×C43—41no—
731C2×C4×C43—42no—
732C2×C4×C43—42no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C2511yescharacteristic
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—81no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—42no—
767D172C2×#4112yes—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—81no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61501—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—22no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—162no—
806C22×C43C23×D411yescharacteristic
807C2×D43—22no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—21no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521D4311yescharacteristic, complemented
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—41no—
873C2×C43—42no—
874C2×C43—81no—
875C2×C43D4×#4111yescharacteristic
876C2×C43#358411yescharacteristic
877C2×C43#358411yescharacteristic
878D43—42no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556C2×D4311yescharacteristic, complemented
886#556C2×D4311yescharacteristic, complemented
887#554—431no—
888#554C2×D4311yescharacteristic, complemented
889#553—21no—
890#553—431no—
891#553—861no—
892#553C2×D4311yescharacteristic
893#552—21no—
894#552—431no—
895#552—861no—
896#552C2×D4311yescharacteristic
897#551—21no—
898#551—21no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547C2×D4311yescharacteristic
903#546—431no—
904#546—431no—
905#546C2×D4311yescharacteristic
906#546C2×D4311yescharacteristic, complemented
907#542—431no—
908#542C2×D4311yescharacteristic
909#541—431no—
910#541C2×D4311yescharacteristic, complemented
911#539—21no—
912#539—861no—
913#538—21no—
914#538—861no—
915#529—21no—
916#529—431no—
917#529—861no—
918#529C2×D4311yescharacteristic
919#529C2×D4311yescharacteristic, complemented
920C2×#126—21no—
921C2×#126—861no—
922#520—431no—
923#520C2×D4311yescharacteristic
924#518—431no—
925#518C2×D4311yescharacteristic, complemented
926C4×#41—431no—
927C4×#41C2×D4311yescharacteristic, complemented
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488—431no—
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484—431no—
946#483—431no—
947#483—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#476—431no—
961#476—431no—
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#462—431no—
985#462—431no—
986#461—431no—
987#461—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#450—431no—
995#450—431no—
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029C4×D8—431no—
1030#436—431no—
1031#435—431no—
1032#435—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428—431no—
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41C22×D4311yescharacteristic
1055C2×#41C22×D4311yescharacteristic
1056C22×D4—431no—
1057C22×D4C22×D4311yescharacteristic
1058AGL(1,ℤ/8)—864no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16—431no—
1072C2×SD16—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×D8—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8C22×D4311yescharacteristic
1086C4⋊Q8C22×D4311yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
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#126C22⋊D4311yescharacteristic
1108#126C22⋊D4311yescharacteristic
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—431no—
1113#125—431no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125C22⋊D4311yescharacteristic
1118#125C22×D4311yescharacteristic
1119#125C22×D4311yescharacteristic
1120#124—21no—
1121#124—21no—
1122#124—431no—
1123#124—431no—
1124#124—861no—
1125#124—861no—
1126#124C22⋊D4311yescharacteristic
1127#124C22×D4311yescharacteristic
1128#124C22×D4311yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123C22⋊D4311yescharacteristic
1146#123C22⋊D4311yescharacteristic
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8C22⋊D4311yescharacteristic
1162C22⋊Q8C22×D4311yescharacteristic
1163C22⋊Q8C22×D4311yescharacteristic
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—431no—
1171#121—431no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121C22⋊D4311yescharacteristic
1177#121C22×D4311yescharacteristic
1178#121C22×D4311yescharacteristic
1179#120—21no—
1180#120—21no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—21no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4C22×D4311yescharacteristic
1217C4×D4C22×D4311yescharacteristic
1218C4×D4C22×D4311yescharacteristic
1219C4×D4C22×D4311yescharacteristic
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117C22×D4311yescharacteristic
1238#117C22×D4311yescharacteristic
1239#117C22×D4311yescharacteristic
1240#117C22×D4311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—21no—
1258C2×C42—861no—
1259C2×C42C22×D4311yescharacteristic
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8—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#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C4×C8—431no—
1330C24—21no—
1331C24—861no—
1332#41—22no—
1333#41—22no—
1334#41—41no—
1335#41—41no—
1336#41—862no—
1337#41—862no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8C2×C22⋊D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—41no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—862no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—1721no—
1363C2×D4C2×C22⋊D4311yescharacteristic
1364C2×D4C2×C22⋊D4311yescharacteristic
1365C2×D4C2×C22⋊D4311yescharacteristic
1366C2×D4C23×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4C2×C22⋊D4311yescharacteristic
1387C22×C4C2×C22⋊D4311yescharacteristic
1388C22×C4C23×D4311yescharacteristic
1389C22×C4C23×D4311yescharacteristic
1390C22×C4C23×D4311yescharacteristic
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—862no—
1396SD16—862no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403D8—434no—
1404D8—862no—
1405D8—862no—
1406D8—1721no—
1407M16—862no—
1408M16—862no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—431no—
1416C2×C8—431no—
1417C2×C8—862no—
1418C2×C8—1721no—
1419C2×C8—1721no—
1420C2×C8—1721no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
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⋊C4C2×C22⋊D4311yescharacteristic
1458C4⋊C4C2×C22⋊D4311yescharacteristic
1459C4⋊C4C2×C22⋊D4311yescharacteristic
1460C4⋊C4C2×C22⋊D4311yescharacteristic
1461C4⋊C4C2×C22⋊D4311yescharacteristic
1462C4⋊C4C2×C22⋊D4311yescharacteristic
1463C4⋊C4C2×C22⋊D4311yescharacteristic
1464C4⋊C4C2×C22⋊D4311yescharacteristic
1465C4⋊C4C2×C22⋊D4311yescharacteristic
1466C4⋊C4C2×C22⋊D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
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⋊C4C2×C22⋊D4311yescharacteristic
1508C22⋊C4C2×C22⋊D4311yescharacteristic
1509C22⋊C4C2×C22⋊D4311yescharacteristic
1510C22⋊C4C2×C22⋊D4311yescharacteristic
1511C22⋊C4C2×C22⋊D4311yescharacteristic
1512C22⋊C4C2×C22⋊D4311yescharacteristic
1513C22⋊C4C2×C22⋊D4311yescharacteristic
1514C22⋊C4C2×C22⋊D4311yescharacteristic
1515C22⋊C4C2×C22⋊D4311yescharacteristic
1516C22⋊C4C2×C22⋊D4311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C2×C22⋊D4311yescharacteristic
1530C42C2×C22⋊D4311yescharacteristic
1531C42C23×D4311yescharacteristic
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—81no—
1539C23—81no—
1540C23—861no—
1541C23—861no—
1542C23—3441no—
1543C23—3441no—
1544C23—1722no—
1545C23C22×C22⋊D4311yescharacteristic
1546C23C22×C22⋊D4311yescharacteristic
1547C23C22×C22⋊D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—41no—
1553Q8—81no—
1554Q8—861no—
1555Q8—861no—
1556Q8—861no—
1557Q8—861no—
1558Q8—3441no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—81no—
1570D4—432no—
1571D4—861no—
1572D4—861no—
1573D4—861no—
1574D4—3441no—
1575D4—3441no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—42no—
1595C2×C4—42no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—1722no—
1617C2×C4—1722no—
1618C2×C4C22×C22⋊D4311yescharacteristic
1619C2×C4C22×C22⋊D4311yescharacteristic
1620C2×C4C22×C22⋊D4311yescharacteristic
1621C2×C4C22×C22⋊D4311yescharacteristic
1622C2×C4C22×C22⋊D4311yescharacteristic
1623C2×C4C22×C22⋊D4311yescharacteristic
1624C2×C4C22×C22⋊D4311yescharacteristic
1625C2×C4C22×C22⋊D4311yescharacteristic
1626C2×C4C22×C22⋊D4311yescharacteristic
1627C2×C4C22×C22⋊D4311yescharacteristic
1628C2×C4C22×C22⋊D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—432no—
1631C8—861no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C8—861no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—22no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—162no—
1654C22—862no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—6882no—
1661C22C23×C22⋊D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C2×#41×D4311yescharacteristic
1686C4#1458373511yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—41no—
1690C2—42no—
1691C2—81no—
1692C2—3441no—
1693C2—1722no—
1694C2#41×C22⋊D4311yescharacteristic
1695C2#1914936611yescharacteristic
1696C2#1914936611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3521C2
socleC22×C43C23×D4
hypercenter#3521D43
hypocenterC43#61501
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #19148667C2semidirect
2. #19147670C2semidirect
3. #19147549C2semidirect
4. #19147244C2semidirect
5. #19147240C2semidirect
6. #19147164C2semidirect
7. #19147140C2semidirect
8. #19147134C2semidirect
9. #19146512C2semidirect
10. #19146506C2semidirect
11. #19146445C2semidirect
12. #19146439C2semidirect
13. #19146430C2semidirect
14. #19146424C2semidirect
15. #19146202C2semidirect
16. #19146121C2semidirect
17. #19146116C2semidirect
18. #19145265C2semidirect
19. #19145257C2semidirect
20. #19145159C2semidirect
21. #19144809C2semidirect
22. #19144803C2semidirect
23. #19144779C2semidirect
24. #19144773C2semidirect
25. #19144704C2semidirect
26. #19144698C2semidirect
27. #19143571C2semidirect
28. #19143427C2semidirect
29. #19143423C2semidirect
30. C4×#13063345C2semidirect
31. C43×#3521C2semidirect
35. #14583622C22semidirect
36. #14583619C22semidirect
37. #14583609C22semidirect
46. #14583545C22semidirect
48. #14583511C22semidirect
51. #14583433C22semidirect
55. #14583373C22semidirect
56. C4×#10621898C22semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583294C22semidirect
61. #14583291C22semidirect
63. #14583256C22semidirect
64. #14583256C22semidirect
65. #14583253C22semidirect
66. #14583253C22semidirect
67. #14583251C22semidirect
68. #14583249C22semidirect
69. #14583240C22semidirect
70. #14583240C22semidirect
71. #14583237C22semidirect
72. #14583237C22semidirect
73. #14583234C22semidirect
74. #14583232C22semidirect
75. #14583229C22semidirect
76. #14583227C22semidirect
78. #14583223C22semidirect
80. #14583220C22semidirect
81. #14583206C22semidirect
82. #14583206C22semidirect
83. #14583203C22semidirect
84. #14583203C22semidirect
85. #14583199C22semidirect
86. #14583199C22semidirect
87. #14583196C22semidirect
88. #14583196C22semidirect
89. #14583189C22semidirect
90. #14583186C22semidirect
91. #14583179C22semidirect
92. #14583176C22semidirect
93. #14583155C22semidirect
94. #14583155C22semidirect
97. #14583138C22semidirect
98. #14583138C22semidirect
99. #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. Q8×C43⋊C8C22semidirect
135. #14583004C22semidirect
136. #14583004C22semidirect
137. #14582999C22semidirect
138. #14582999C22semidirect
139. #14582999C22semidirect
140. #14582997C22semidirect
141. #14582997C22semidirect
142. #14582997C22semidirect
143. C4×#10621885C22semidirect
144. C4×#10621885C22semidirect
145. C4×#10621885C22semidirect
146. C4×#10621884C22semidirect
147. C4×#10621884C22semidirect
148. C4×#10621884C22semidirect
149. C4×#10621884C22semidirect
150. C4×#10621883C22semidirect
151. C4×#10621883C22semidirect
152. C4×#10621883C22semidirect
153. C4×#10621883C22semidirect
160. #14582971C22semidirect
161. #14582971C22semidirect
163. D4×C43⋊C8C22semidirect
164. D4×C43⋊C8C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. #14582935C22semidirect
172. #14582895C22semidirect
174. #14582893C22semidirect
175. C2×#13063246C22semidirect
176. C2×#13063245C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C2×C4×C43⋊C8C22semidirect
180. C43×#556C22semidirect
181. C43×#556C22semidirect
182. C43×#554C22semidirect
191. C43×#546C22semidirect
193. C43×#541C22semidirect
198. C43×#529C22semidirect
201. C43×#518C22semidirect
202. C4×#41×C43C22semidirect
840. #3521D43semidirect
885. #556C2×D43semidirect
886. #556C2×D43semidirect
888. #554C2×D43semidirect
906. #546C2×D43semidirect
910. #541C2×D43semidirect
919. #529C2×D43semidirect
925. #518C2×D43semidirect
927. C4×#41C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486672
#191476702
#191475492
#191472442
#191472402
#191471642
#191471402
#191471342
#191465122
#191465062
#191464452
#191464392
#191464302
#191464242
#191462022
#191461212
#191461162
#191452652
#191452572
#191451592
#191448092
#191448032
#191447792
#191447732
#191447042
#191446982
#191435712
#191434272
#191434232
C4×#130633452
C43×#35212
#6150143