Finite Group Databasebeta

← #25979858

Subgroups — #25979858

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#19148539C211yesmaximal, characteristic, complemented
2#19147644C211yesmaximal, characteristic, complemented
3#19147549C211yesmaximal, characteristic, complemented
4#19147372C211yesmaximal, characteristic, complemented
5#19147348C211yesmaximal, characteristic, complemented
6#19147164C211yesmaximal, characteristic, complemented
7#19147074C211yesmaximal, characteristic, complemented
8#19147035C211yesmaximal, characteristic, complemented
9#19146900C211yesmaximal, characteristic, complemented
10#19146805C211yesmaximal, characteristic, complemented
11#19146691C211yesmaximal, characteristic, complemented
12#19146670C211yesmaximal, characteristic, complemented
13#19146610C211yesmaximal, characteristic, complemented
14#19146571C211yesmaximal, characteristic, complemented
15#19146195C211yesmaximal, characteristic, complemented
16#19146121C211yesmaximal, characteristic, complemented
17#19146121C211yesmaximal, characteristic, complemented
18#19145265C211yesmaximal, characteristic, complemented
19#19145224C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19144857C211yesmaximal, characteristic, complemented
22#19144842C211yesmaximal, characteristic, complemented
23#19144803C211yesmaximal, characteristic, complemented
24#19144794C211yesmaximal, characteristic, complemented
25#19144704C211yesmaximal, characteristic, complemented
26#19144690C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143468C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3515C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583609C2211yescharacteristic
37#14583600—21no—
38#14583595C2211yescharacteristic
39#14583589C2211yescharacteristic
40#14583576—21no—
41#14583574—21no—
42#14583553C2211yescharacteristic
43#14583545C2211yescharacteristic
44#14583545C2211yescharacteristic
45#14583538—21no—
46D4×D172C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583504C2211yescharacteristic
49#14583497—21no—
50#14583483—21no—
51#14583433C2211yescharacteristic
52#14583407—21no—
53#123×D43—21no—
54#14583379C2211yescharacteristic
55#14583373C2211yescharacteristic
56C2×C4×D172C2211yescharacteristic
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583291C2211yescharacteristic, complemented
61#14583291C2211yescharacteristic, complemented
62#14583273C2211yescharacteristic
63#14583267C2211yescharacteristic, complemented
64#14583267C2211yescharacteristic, complemented
65#14583265C2211yescharacteristic
66#14583261C2211yescharacteristic, complemented
67#14583256C2211yescharacteristic, complemented
68#14583249C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic, complemented
70#14583237C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583234C2211yescharacteristic, complemented
73#14583232C2211yescharacteristic, complemented
74#14583232C2211yescharacteristic, complemented
75#14583232C2211yescharacteristic, complemented
76#14583227C2211yescharacteristic, complemented
77#14583223C2211yescharacteristic
78#14583217C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic
80#14583212C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583206C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583199C2211yescharacteristic, complemented
86#14583196C2211yescharacteristic
87#14583196C2211yescharacteristic
88#14583196C2211yescharacteristic, complemented
89#14583194C2211yescharacteristic, complemented
90#14583179C2211yescharacteristic, complemented
91#14583176C2211yescharacteristic
92#14583176C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583155C2211yescharacteristic, complemented
95#14583155C2211yescharacteristic, complemented
96#14583147C2211yescharacteristic
97#14583147C2211yescharacteristic
98#14583147C2211yescharacteristic
99#14583147C2211yescharacteristic, complemented
100#14583147C2211yescharacteristic, complemented
101#14583138C2211yescharacteristic, complemented
102#14583130C2211yescharacteristic
103#14583130C2211yescharacteristic, complemented
104#14583130C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583121C2211yescharacteristic, complemented
107#14583114C2211yescharacteristic, complemented
108#14583114C2211yescharacteristic, complemented
109#14583106C2211yescharacteristic, complemented
110#14583101C2211yescharacteristic
111#14583101C2211yescharacteristic
112#14583101C2211yescharacteristic
113#14583101C2211yescharacteristic, complemented
114#14583101C2211yescharacteristic, complemented
115#14583099C2211yescharacteristic
116#14583094C2211yescharacteristic
117#14583061C2211yescharacteristic, complemented
118#14583061C2211yescharacteristic, complemented
119#14583059C2211yescharacteristic
120#14583059C2211yescharacteristic
121#14583049C2211yescharacteristic
122#14583049C2211yescharacteristic
123#14583049C2211yescharacteristic
124#14583049C2211yescharacteristic
125#14583044C2211yescharacteristic
126#14583044C2211yescharacteristic
127#14583044C2211yescharacteristic, complemented
128#14583044C2211yescharacteristic, complemented
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic, complemented
134#14583009C2211yescharacteristic, complemented
135#14583004C2211yescharacteristic, complemented
136#14582999C2211yescharacteristic, complemented
137#14582999C2211yescharacteristic, complemented
138#14582997C2211yescharacteristic
139#14582997C2211yescharacteristic
140#14582997C2211yescharacteristic
141#14582997C2211yescharacteristic
142#14582997C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic
151C4×#10621884C2211yescharacteristic
152C4×#10621884C2211yescharacteristic, complemented
153C4×#10621884C2211yescharacteristic, complemented
154C4×#10621884C2211yescharacteristic, complemented
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
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#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170C2×#13063258C2211yescharacteristic, complemented
171#14582903C2211yescharacteristic
172#14582900C2211yescharacteristic, complemented
173#14582900C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic
175#14582895C2211yescharacteristic, complemented
176C2×#13063245C2211yescharacteristic
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#557C2211yescharacteristic, complemented
181C43×#554C2211yescharacteristic, complemented
182C43×#554C2211yescharacteristic, complemented
183C43×#553—21no—
184C43×#552—21no—
185C43×#552—21no—
186C43×#552—21no—
187C43×#552C2211yescharacteristic
188C43×#552C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#547C2211yescharacteristic, complemented
191C43×#547C2211yescharacteristic, complemented
192C43×#541C2211yescharacteristic, complemented
193C43×#541C2211yescharacteristic, complemented
194C43×#539—21no—
195C43×#539—21no—
196C43×#533C2211yescharacteristic, complemented
197C43×#529—21no—
198C43×#529C2211yescharacteristic
199C2×#125×C43—21no—
200C43×#520C2211yescharacteristic, complemented
201C43×#520C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C22×C4×D43—21no—
209#13063350—24no—
210#13063350—24no—
211#13063345—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063322C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063318—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063315—21no—
243#13063314—21no—
244#13063313C2311yescharacteristic
245#13063313C2311yescharacteristic
246#13063311—21no—
247#13063310—21no—
248#13063310—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063310—21no—
253#13063309—21no—
254#13063309—21no—
255#13063308—21no—
256#13063307—21no—
257#13063307—21no—
258#13063306—21no—
259#13063305—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063303—21no—
263#13063303—21no—
264#13063303—21no—
265#13063301—21no—
266#13063300—21no—
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063298—21no—
275#13063297—21no—
276#13063295—21no—
277#13063295—21no—
278#13063293—21no—
279#13063293—21no—
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×D172—21no—
283C4×D172—21no—
284C4×D172C2311yescharacteristic
285C4×D172C2311yescharacteristic
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292#13063287—21no—
293#13063287—21no—
294#13063287—21no—
295C4×C22⋊D43—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299#13063284C2311yescharacteristic
300#13063283—21no—
301#13063282—21no—
302#13063281—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C2×C4⋊Dic43C2311yescharacteristic
305C4⋊C4×D43—21no—
306C4⋊C4×D43—21no—
307C2×(C2×D43)⋊C4—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—21no—
310C22⋊C4×D43—21no—
311C22⋊C4×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063258C2311yescharacteristic
321#13063258C2311yescharacteristic
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#13063249C2311yescharacteristic
343#13063249C2311yescharacteristic
344#13063249C2311yescharacteristic
345#13063249C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063245C2311yescharacteristic
355#13063245C2311yescharacteristic
356#13063245C2311yescharacteristic
357#13063245C2311yescharacteristic
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×C43C2311yescharacteristic
383C2×#41×C43C2311yescharacteristic
384C2×#41×C43C2311yescharacteristic
385C4⋊Q8×C43C2311yescharacteristic
386C4⋊Q8×C43C2311yescharacteristic
387C4⋊Q8×C43C2311yescharacteristic
388C4⋊Q8×C43C2311yescharacteristic
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×C43D411yescharacteristic
396#126×C43D411yescharacteristic
397#125×C43—21no—
398#125×C43—21no—
399#125×C43—21no—
400#125×C43—21no—
401#125×C43—21no—
402#125×C43—21no—
403#125×C43—21no—
404#125×C43—21no—
405#125×C43—21no—
406#125×C43—21no—
407#125×C43—21no—
408#125×C43D411yescharacteristic
409#125×C43C2311yescharacteristic
410#125×C43C2311yescharacteristic
411#124×C43D411yescharacteristic
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×C43—21no—
419#123×C43—21no—
420#123×C43D411yescharacteristic
421#123×C43D411yescharacteristic
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×C43D411yescharacteristic
429C22⋊Q8×C43C2311yescharacteristic
430C22⋊Q8×C43C2311yescharacteristic
431C22⋊Q8×C43C2311yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433C22⋊Q8×C43C2311yescharacteristic
434C22⋊Q8×C43C2311yescharacteristic
435#121×C43—21no—
436#121×C43—21no—
437#121×C43—21no—
438#121×C43D411yescharacteristic
439C4×Q8×C43—21no—
440C4×Q8×C43—21no—
441C4×Q8×C43C2311yescharacteristic
442C4×Q8×C43C2311yescharacteristic
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×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×C43—21no—
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×C43—21no—
475C2×C4⋊C4×C43—21no—
476C2×C4⋊C4×C43—21no—
477C2×C4⋊C4×C43C2311yescharacteristic
478C2×C4⋊C4×C43C2311yescharacteristic
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43—21no—
490C2×Q8×C43C2×D411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43C2×D411yescharacteristic
498C2×D4×C43C2×D411yescharacteristic
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
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×C43C2×D411yescharacteristic
511C22×C4×C43C2×D411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621900—82no—
523D4×D43—82no—
524#10621898—22no—
525#10621898—41no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—22no—
531C2×D172—22no—
532C2×D172—41no—
533C2×D172—41no—
534C2×D172C2411yescharacteristic
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×C4×D43—21no—
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×C4×D43—82no—
547C2×Dic86—21no—
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×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C22⋊C4×C43C2×D411yescharacteristic
606C22⋊C4×C43C2×D411yescharacteristic
607C22⋊C4×C43C2×D411yescharacteristic
608C22⋊C4×C43C2×D411yescharacteristic
609C42×C43—21no—
610C42×C43—21no—
611C42×C43—21no—
612C42×C43—21no—
613C42×C43—21no—
614C42×C43—21no—
615C42×C43—21no—
616C42×C43C2×D411yescharacteristic
617C42×C43C2×D411yescharacteristic
618C42×C43C2411yescharacteristic
619C42×C43C2411yescharacteristic
620C42×C43C2411yescharacteristic
621C42×C43C2411yescharacteristic
622C22⋊Dic43—21no—
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625#10621885—22no—
626#10621885—41no—
627#10621885—41no—
628#10621884—22no—
629#10621884—22no—
630#10621884—22no—
631#10621884—22no—
632#10621884—22no—
633#10621884—41no—
634#10621884—41no—
635#10621884—41no—
636#10621884—41no—
637#10621883—22no—
638#10621882—22no—
639#10621882—22no—
640#10621882#4114yescomplemented
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—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—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×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43—81no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—21no—
708Q8×C43—41no—
709Q8×C43—81no—
710D4×C43—21no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—41no—
714D4×C43—42no—
715D4×C43—42no—
716D4×C43—42no—
717D4×C43C2×#4112yes—
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—21no—
730C2×C4×C43—21no—
731C2×C4×C43—41no—
732C2×C4×C43—41no—
733C2×C4×C43—42no—
734C2×C4×C43—42no—
735C2×C4×C43—42no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
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×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C2511yescharacteristic
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—42no—
772D172—42no—
773D172—81no—
774D172—81no—
775D172C2×#4112yes—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
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#61509—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—21no—
805C22×C43—22no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—22no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
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×C43—41no—
839C4×C43C22×#4111yescharacteristic
840C4×C43#58511yescharacteristic
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515D4311yescharacteristic, complemented
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—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×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—42no—
885D43—81no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557C2×D4311yescharacteristic, complemented
892#554—431no—
893#554C2×D4311yescharacteristic, complemented
894#554C2×D4311yescharacteristic, complemented
895#553—21no—
896#553—431no—
897#553—861no—
898#552—21no—
899#552—21no—
900#552—21no—
901#552—431no—
902#552C2×D4311yescharacteristic
903#552C2×D4311yescharacteristic, complemented
904#551—861no—
905#551—861no—
906#547—431no—
907#547C2×D4311yescharacteristic
908#547C2×D4311yescharacteristic, complemented
909#547C2×D4311yescharacteristic, complemented
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541C2×D4311yescharacteristic, complemented
916#541C2×D4311yescharacteristic, complemented
917#540—431no—
918#539—21no—
919#539—21no—
920#539—861no—
921#538—861no—
922#533C2×D4311yescharacteristic, complemented
923#529—21no—
924#529—431no—
925#529C2×D4311yescharacteristic
926C2×#125—21no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520C2×D4311yescharacteristic, complemented
931#520C2×D4311yescharacteristic, complemented
932#518—431no—
933C4×#41C2×D4311yescharacteristic, complemented
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#499—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—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#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—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#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#440—431no—
1015#440—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#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—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×SD16—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⋊Q8C22×D4311yescharacteristic
1095C4⋊Q8C22×D4311yescharacteristic
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126C22⋊D4311yescharacteristic
1110#126C22⋊D4311yescharacteristic
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125—21no—
1122#125—431no—
1123#125—431no—
1124#125—861no—
1125#125C22⋊D4311yescharacteristic
1126#125C22×D4311yescharacteristic
1127#125C22×D4311yescharacteristic
1128#124—431no—
1129#124—431no—
1130#124—861no—
1131#124—861no—
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#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123C22⋊D4311yescharacteristic
1154#123C22⋊D4311yescharacteristic
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8C22⋊D4311yescharacteristic
1169C22⋊Q8C22×D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22⋊D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8C22×D4311yescharacteristic
1198C4×Q8C22×D4311yescharacteristic
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—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
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—21no—
1240#117—21no—
1241#117—431no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246#117C22×D4311yescharacteristic
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—21no—
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#107—431no—
1276#107—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—861no—
1338C24—861no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—862no—
1346#41—3442no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8C2×C22⋊D4311yescharacteristic
1352C2×Q8C23×D4311yescharacteristic
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—3442no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4C2×C22⋊D4311yescharacteristic
1376C2×D4C2×C22⋊D4311yescharacteristic
1377C2×D4C2×C22⋊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—861no—
1389C22×C4—861no—
1390C22×C4—861no—
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—3442no—
1400C22×C4C2×C22⋊D4311yescharacteristic
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—862no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—434no—
1419D8—862no—
1420D8—862no—
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—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
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⋊C4C2×C22⋊D4311yescharacteristic
1482C4⋊C4C2×C22⋊D4311yescharacteristic
1483C4⋊C4C2×C22⋊D4311yescharacteristic
1484C4⋊C4C2×C22⋊D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
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—861no—
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—21no—
1534C42—21no—
1535C42—21no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C2×C22⋊D4311yescharacteristic
1540C42C2×C22⋊D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—3441no—
1550C23—3441no—
1551C23—3441no—
1552C23—1722no—
1553C23—1722no—
1554C23—1722no—
1555C23C22×C22⋊D4311yescharacteristic
1556C23C22×C22⋊D4311yescharacteristic
1557C23C22×C22⋊D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—41no—
1565Q8—81no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569D4—21no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—432no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—1722no—
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—21no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
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—862no—
1665C22—3444no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
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—41no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—3441no—
1706C2—3441no—
1707C2—1722no—
1708C2#41×C22⋊D4311yescharacteristic
1709C2#1914937411yescharacteristic
1710C2#1914938211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3515C2
socleC22×C43C23×D4
hypercenter#3515D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #19148539C2semidirect
2. #19147644C2semidirect
3. #19147549C2semidirect
4. #19147372C2semidirect
5. #19147348C2semidirect
6. #19147164C2semidirect
7. #19147074C2semidirect
8. #19147035C2semidirect
9. #19146900C2semidirect
10. #19146805C2semidirect
11. #19146691C2semidirect
12. #19146670C2semidirect
13. #19146610C2semidirect
14. #19146571C2semidirect
15. #19146195C2semidirect
16. #19146121C2semidirect
17. #19146121C2semidirect
18. #19145265C2semidirect
19. #19145224C2semidirect
20. #19145195C2semidirect
21. #19144857C2semidirect
22. #19144842C2semidirect
23. #19144803C2semidirect
24. #19144794C2semidirect
25. #19144704C2semidirect
26. #19144690C2semidirect
27. #19143582C2semidirect
28. #19143468C2semidirect
29. #19143423C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3515C2semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583291C22semidirect
61. #14583291C22semidirect
63. #14583267C22semidirect
64. #14583267C22semidirect
66. #14583261C22semidirect
67. #14583256C22semidirect
68. #14583249C22semidirect
69. #14583240C22semidirect
70. #14583237C22semidirect
71. #14583237C22semidirect
72. #14583234C22semidirect
73. #14583232C22semidirect
74. #14583232C22semidirect
75. #14583232C22semidirect
76. #14583227C22semidirect
78. #14583217C22semidirect
80. #14583212C22semidirect
81. #14583206C22semidirect
82. #14583206C22semidirect
83. #14583203C22semidirect
84. #14583199C22semidirect
85. #14583199C22semidirect
88. #14583196C22semidirect
89. #14583194C22semidirect
90. #14583179C22semidirect
92. #14583176C22semidirect
93. #14583155C22semidirect
94. #14583155C22semidirect
95. #14583155C22semidirect
99. #14583147C22semidirect
100. #14583147C22semidirect
101. #14583138C22semidirect
103. #14583130C22semidirect
104. #14583130C22semidirect
105. #14583121C22semidirect
106. #14583121C22semidirect
107. #14583114C22semidirect
108. #14583114C22semidirect
109. #14583106C22semidirect
113. #14583101C22semidirect
114. #14583101C22semidirect
117. #14583061C22semidirect
118. #14583061C22semidirect
127. #14583044C22semidirect
128. #14583044C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
133. #14583009C22semidirect
134. #14583009C22semidirect
135. #14583004C22semidirect
136. #14582999C22semidirect
137. #14582999C22semidirect
142. #14582997C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
152. C4×#10621884C22semidirect
153. C4×#10621884C22semidirect
154. C4×#10621884C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. C2×#13063258C22semidirect
172. #14582900C22semidirect
173. #14582900C22semidirect
175. #14582895C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
180. C43×#557C22semidirect
181. C43×#554C22semidirect
182. C43×#554C22semidirect
188. C43×#552C22semidirect
190. C43×#547C22semidirect
191. C43×#547C22semidirect
192. C43×#541C22semidirect
193. C43×#541C22semidirect
196. C43×#533C22semidirect
200. C43×#520C22semidirect
201. C43×#520C22semidirect
202. C4×#41×C43C22semidirect
640. #10621882#41semidirect
846. #3515D43semidirect
891. #557C2×D43semidirect
893. #554C2×D43semidirect
894. #554C2×D43semidirect
903. #552C2×D43semidirect
908. #547C2×D43semidirect
909. #547C2×D43semidirect
915. #541C2×D43semidirect
916. #541C2×D43semidirect
922. #533C2×D43semidirect
930. #520C2×D43semidirect
931. #520C2×D43semidirect
933. C4×#41C2×D43semidirect
1058. C43#61509semidirect

Maximal subgroups

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

subgroupindex
#191485392
#191476442
#191475492
#191473722
#191473482
#191471642
#191470742
#191470352
#191469002
#191468052
#191466912
#191466702
#191466102
#191465712
#191461952
#191461212
#191452652
#191452242
#191451952
#191448572
#191448422
#191448032
#191447942
#191447042
#191446902
#191435822
#191434682
#191434232
C4×#130633502
C43×#35152
#6150943