Finite Group Databasebeta

← #25990380

Subgroups — #25990380

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148539C211yesmaximal, characteristic, complemented
2#19147661C211yesmaximal, characteristic, complemented
3#19147603C211yesmaximal, characteristic, complemented
4#19147342C211yesmaximal, characteristic, complemented
5#19147240C211yesmaximal, characteristic, complemented
6#19146900C211yesmaximal, characteristic, complemented
7#19146863C211yesmaximal, characteristic, complemented
8#19146848C211yesmaximal, characteristic, complemented
9#19146721C211yesmaximal, characteristic, complemented
10#19146556C211yesmaximal, characteristic, complemented
11#19146445C211yesmaximal, characteristic, complemented
12#19146303C211yesmaximal, characteristic, complemented
13#19146215C211yesmaximal, characteristic, complemented
14#19146202C211yesmaximal, characteristic, complemented
15#19146202C211yesmaximal, characteristic, complemented
16#19146121C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19146036C211yesmaximal, characteristic, complemented
19#19146000C211yesmaximal, characteristic, complemented
20#19145991C211yesmaximal, characteristic, complemented
21#19145704C211yesmaximal, characteristic, complemented
22#19145645C211yesmaximal, characteristic, complemented
23#19145571C211yesmaximal, characteristic, complemented
24#19144833C211yesmaximal, characteristic, complemented
25#19144803C211yesmaximal, characteristic, complemented
26#19144638C211yesmaximal, characteristic, complemented
27#19144130C211yesmaximal, characteristic, complemented
28#19144103C211yesmaximal, characteristic, complemented
29#19144055C211yesmaximal, characteristic, complemented
30#19143744C211yesmaximal, characteristic, complemented
31C43×#3562C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063350C2211yescharacteristic
35C2×#13063350C2211yescharacteristic, complemented
36C2×#13063345C2211yescharacteristic
37C22×#10621884C2211yescharacteristic, complemented
38#14583634C2211yescharacteristic, complemented
39#14583609C2211yescharacteristic, complemented
40#14583600—21no—
41#14583595C2211yescharacteristic
42#14583589C2211yescharacteristic, complemented
43#14583576—21no—
44#14583574—21no—
45#14583553C2211yescharacteristic
46#14583545C2211yescharacteristic
47#14583545C2211yescharacteristic
48#14583538—21no—
49D4×D172C2211yescharacteristic, complemented
50#14583520C2211yescharacteristic, complemented
51#14583504C2211yescharacteristic
52#14583497—21no—
53#14583483—21no—
54#14583433C2211yescharacteristic, complemented
55#14583407—21no—
56#123×D43—21no—
57#14583379C2211yescharacteristic
58#14583373C2211yescharacteristic, complemented
59C2×C4×D172C2211yescharacteristic, complemented
60#14583291C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic
62#14583281C2211yescharacteristic, complemented
63#14583281C2211yescharacteristic, complemented
64#14583281C2211yescharacteristic, complemented
65#14583275C2211yescharacteristic
66#14583263C2211yescharacteristic, complemented
67#14583258C2211yescharacteristic, complemented
68#14583253C2211yescharacteristic, complemented
69#14583253C2211yescharacteristic, complemented
70#14583253C2211yescharacteristic, complemented
71#14583249C2211yescharacteristic, complemented
72#14583232C2211yescharacteristic, complemented
73#14583232C2211yescharacteristic, complemented
74#14583227C2211yescharacteristic, complemented
75#14583220C2211yescharacteristic, complemented
76#14583220C2211yescharacteristic, complemented
77#14583215C2211yescharacteristic, complemented
78#14583206C2211yescharacteristic, complemented
79#14583206C2211yescharacteristic, complemented
80#14583206C2211yescharacteristic, complemented
81#14583203C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic, complemented
83#14583196C2211yescharacteristic, complemented
84#14583196C2211yescharacteristic, complemented
85#14583196C2211yescharacteristic, complemented
86#14583189C2211yescharacteristic, complemented
87#14583179C2211yescharacteristic, complemented
88#14583155C2211yescharacteristic, complemented
89#14583150C2211yescharacteristic
90#14583150C2211yescharacteristic, complemented
91#14583147C2211yescharacteristic, complemented
92#14583147C2211yescharacteristic, complemented
93#14583147C2211yescharacteristic, complemented
94#14583143C2211yescharacteristic, complemented
95#14583143C2211yescharacteristic, complemented
96#14583133C2211yescharacteristic
97#14583130C2211yescharacteristic, complemented
98#14583130C2211yescharacteristic, complemented
99#14583126C2211yescharacteristic, complemented
100#14583121C2211yescharacteristic, complemented
101#14583118C2211yescharacteristic, complemented
102#14583118C2211yescharacteristic, complemented
103#14583114C2211yescharacteristic, complemented
104#14583114C2211yescharacteristic, complemented
105#14583114C2211yescharacteristic, complemented
106#14583111C2211yescharacteristic
107#14583111C2211yescharacteristic
108#14583111C2211yescharacteristic
109#14583111C2211yescharacteristic
110#14583111C2211yescharacteristic, complemented
111#14583111C2211yescharacteristic, complemented
112#14583111C2211yescharacteristic, complemented
113#14583111C2211yescharacteristic, complemented
114#14583111C2211yescharacteristic, complemented
115#14583111C2211yescharacteristic, complemented
116#14583106C2211yescharacteristic, complemented
117#14583101C2211yescharacteristic, complemented
118#14583101C2211yescharacteristic, complemented
119#14583101C2211yescharacteristic, complemented
120#14583101C2211yescharacteristic, complemented
121#14583101C2211yescharacteristic, complemented
122#14583099C2211yescharacteristic, complemented
123#14583099C2211yescharacteristic, complemented
124#14583096C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic, complemented
126#14583091C2211yescharacteristic
127#14583091C2211yescharacteristic
128#14583091C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic, complemented
130#14583061C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic
134#14583059C2211yescharacteristic
135#14583055C2211yescharacteristic, complemented
136#14583049C2211yescharacteristic, complemented
137#14583044C2211yescharacteristic
138#14583044C2211yescharacteristic
139#14583044C2211yescharacteristic, complemented
140#14583044C2211yescharacteristic, complemented
141#14583044C2211yescharacteristic, complemented
142#14583038C2211yescharacteristic, complemented
143#14583033C2211yescharacteristic, complemented
144#14583033C2211yescharacteristic, complemented
145#14583032C2211yescharacteristic
146#14583032C2211yescharacteristic
147#14583032C2211yescharacteristic, complemented
148#14583030C2211yescharacteristic, complemented
149Q8×C43⋊C8C2211yescharacteristic, complemented
150#14583009C2211yescharacteristic, complemented
151#14583009C2211yescharacteristic, complemented
152#14583004C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155C4×#10621884C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157C4×#10621884C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic
159C4×#10621882C2211yescharacteristic
160C4×#10621882C2211yescharacteristic, complemented
161C4×#10621882C2211yescharacteristic, complemented
162#14582977C2211yescharacteristic, complemented
163#14582977C2211yescharacteristic, complemented
164#14582977C2211yescharacteristic, complemented
165#14582971C2211yescharacteristic, complemented
166#14582971C2211yescharacteristic, complemented
167D4×C43⋊C8C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582960C2211yescharacteristic, complemented
170#14582952C2211yescharacteristic, complemented
171#14582926C2211yescharacteristic, complemented
172#14582926C2211yescharacteristic, complemented
173#14582923C2211yescharacteristic, complemented
174#14582908C2211yescharacteristic, complemented
175#14582900C2211yescharacteristic, complemented
176#14582900C2211yescharacteristic, complemented
177#14582900C2211yescharacteristic, complemented
178#14582895C2211yescharacteristic, complemented
179C2×#13063246C2211yescharacteristic, complemented
180C43×#562—21no—
181C43×#560—21no—
182C43×#559C2211yescharacteristic, complemented
183C43×#556C2211yescharacteristic, complemented
184C43×#553—21no—
185C43×#551—21no—
186C43×#550C2211yescharacteristic
187C43×#548C2211yescharacteristic
188C43×#548C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic, complemented
190C43×#546C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic, complemented
192C43×#541C2211yescharacteristic, complemented
193C43×#540—21no—
194C43×#540C2211yescharacteristic, complemented
195C43×#539—21no—
196C43×#538—21no—
197C43×#538—21no—
198C43×#536C2211yescharacteristic, complemented
199C43×#535C2211yescharacteristic, complemented
200C43×#532C2211yescharacteristic, complemented
201C43×#529C2211yescharacteristic
202C43×#529C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C22×C4×D43—21no—
209#13063351—42no—
210#13063350—42no—
211#13063350—42no—
212#13063350—42no—
213#13063345—42no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884—42no—
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×#10621884C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621882C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621877C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621877C2311yescharacteristic
242C2×#10621877C2311yescharacteristic
243C22×C43⋊C8C2311yescharacteristic
244C22×C43⋊C8C2311yescharacteristic
245#13063325C2311yescharacteristic
246#13063322C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063319—21no—
250#13063318—21no—
251#13063317C2311yescharacteristic
252#13063317C2311yescharacteristic
253#13063315—21no—
254#13063314—21no—
255#13063313C2311yescharacteristic
256#13063313C2311yescharacteristic
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063306—21no—
270#13063305—21no—
271#13063304C2311yescharacteristic
272#13063304C2311yescharacteristic
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063301—21no—
277#13063300—21no—
278#13063299C2311yescharacteristic
279#13063299C2311yescharacteristic
280#13063299C2311yescharacteristic
281#13063299C2311yescharacteristic
282#13063298—21no—
283#13063298—21no—
284#13063298—21no—
285#13063298—21no—
286#13063297—21no—
287#13063295—21no—
288#13063295—21no—
289#13063293—21no—
290#13063293—21no—
291C4×Dic86C2311yescharacteristic
292C4×Dic86C2311yescharacteristic
293C4×D172—21no—
294C4×D172—21no—
295C4×D172C2311yescharacteristic
296C4×D172C2311yescharacteristic
297C4×D172C2311yescharacteristic
298C4×D172C2311yescharacteristic
299C4×D172C2311yescharacteristic
300C4×D172C2311yescharacteristic
301C4×D172C2311yescharacteristic
302C4×D172C2311yescharacteristic
303#13063287—21no—
304#13063287—21no—
305#13063287—21no—
306C4×C22⋊D43—21no—
307(C22⋊D43)⋊C4—21no—
308(C22⋊D43)⋊C4—21no—
309(C22⋊D43)⋊C4—21no—
310#13063284C2311yescharacteristic
311#13063283—21no—
312#13063282—21no—
313#13063281—21no—
314C2×C4⋊Dic43C2311yescharacteristic
315C2×C4⋊Dic43C2311yescharacteristic
316C4⋊C4×D43—21no—
317C4⋊C4×D43—21no—
318C2×(C2×D43)⋊C4—21no—
319C22⋊C4×D43—21no—
320C22⋊C4×D43—21no—
321C22⋊C4×D43—21no—
322C22⋊C4×D43—21no—
323#13063258C2311yescharacteristic
324#13063258C2311yescharacteristic
325#13063258C2311yescharacteristic
326#13063258C2311yescharacteristic
327#13063256C2311yescharacteristic
328#13063256C2311yescharacteristic
329#13063256C2311yescharacteristic
330#13063256C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334C4⋊(C43⋊C8)C2311yescharacteristic
335C4⋊(C43⋊C8)C2311yescharacteristic
336C4⋊(C43⋊C8)C2311yescharacteristic
337C4⋊(C43⋊C8)C2311yescharacteristic
338C4⋊(C43⋊C8)C2311yescharacteristic
339C4⋊(C43⋊C8)C2311yescharacteristic
340C4⋊(C43⋊C8)C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063249C2311yescharacteristic
343#13063249C2311yescharacteristic
344#13063249C2311yescharacteristic
345#13063249C2311yescharacteristic
346#13063249C2311yescharacteristic
347#13063249C2311yescharacteristic
348#13063249C2311yescharacteristic
349#13063249C2311yescharacteristic
350#13063249C2311yescharacteristic
351#13063249C2311yescharacteristic
352#13063249C2311yescharacteristic
353#13063248C2311yescharacteristic
354#13063248C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
358#13063246C2311yescharacteristic
359#13063246C2311yescharacteristic
360#13063246C2311yescharacteristic
361#13063246C2311yescharacteristic
362#13063246C2311yescharacteristic
363#13063246C2311yescharacteristic
364#13063246C2311yescharacteristic
365#13063246C2311yescharacteristic
366#13063246C2311yescharacteristic
367#13063245C2311yescharacteristic
368#13063245C2311yescharacteristic
369#13063245C2311yescharacteristic
370#13063245C2311yescharacteristic
371#13063245C2311yescharacteristic
372#13063245C2311yescharacteristic
373C22⋊(C43⋊C8)C2311yescharacteristic
374C22⋊(C43⋊C8)C2311yescharacteristic
375C22⋊(C43⋊C8)C2311yescharacteristic
376C22⋊(C43⋊C8)C2311yescharacteristic
377C22⋊(C43⋊C8)C2311yescharacteristic
378C22⋊(C43⋊C8)C2311yescharacteristic
379#13063236C2311yescharacteristic
380#13063236C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C4×C43⋊C8C2311yescharacteristic
383C4×C43⋊C8C2311yescharacteristic
384C4×C43⋊C8C2311yescharacteristic
385C2×#41×C43C2311yescharacteristic
386C2×#41×C43C2311yescharacteristic
387C2×#41×C43C2311yescharacteristic
388C2×#41×C43C2311yescharacteristic
389C22×Q8×C43C2311yescharacteristic
390C22×D4×C43C2311yescharacteristic
391C4⋊Q8×C43C2311yescharacteristic
392C4⋊Q8×C43C2311yescharacteristic
393#127×C43—21no—
394#127×C43C2311yescharacteristic
395#127×C43C2311yescharacteristic
396#126×C43—21no—
397#126×C43—21no—
398#126×C43—21no—
399#126×C43—21no—
400#126×C43—21no—
401#126×C43D411yescharacteristic
402#126×C43D411yescharacteristic
403#125×C43—21no—
404#125×C43—21no—
405#125×C43D411yescharacteristic
406#125×C43C2311yescharacteristic
407#124×C43—21no—
408#124×C43—21no—
409#124×C43—21no—
410#124×C43D411yescharacteristic
411#124×C43C2311yescharacteristic
412#124×C43C2311yescharacteristic
413#124×C43C2311yescharacteristic
414#124×C43C2311yescharacteristic
415#124×C43C2311yescharacteristic
416#123×C43—21no—
417#123×C43—21no—
418#123×C43—21no—
419#123×C43—21no—
420#123×C43—21no—
421#123×C43—21no—
422#123×C43—21no—
423#123×C43—21no—
424#123×C43—21no—
425#123×C43—21no—
426#123×C43—21no—
427#123×C43D411yescharacteristic
428#123×C43D411yescharacteristic
429C22⋊Q8×C43—21no—
430C22⋊Q8×C43—21no—
431C22⋊Q8×C43—21no—
432C22⋊Q8×C43—21no—
433C22⋊Q8×C43—21no—
434C22⋊Q8×C43D411yescharacteristic
435C22⋊Q8×C43C2311yescharacteristic
436C22⋊Q8×C43C2311yescharacteristic
437C22⋊Q8×C43C2311yescharacteristic
438#121×C43—21no—
439#121×C43—21no—
440#121×C43—21no—
441#121×C43—21no—
442#121×C43—21no—
443#121×C43—21no—
444#121×C43—21no—
445#121×C43—21no—
446#121×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43—21no—
450#121×C43—21no—
451#121×C43D411yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#120×C43—21no—
456#120×C43—21no—
457#120×C43—21no—
458#120×C43—21no—
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43—21no—
465C4×D4×C43—21no—
466C4×D4×C43—21no—
467C4×D4×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473C4×D4×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475C4×D4×C43C2311yescharacteristic
476#117×C43—21no—
477#117×C43—21no—
478#117×C43C2311yescharacteristic
479#117×C43C2311yescharacteristic
480C2×C4⋊C4×C43—21no—
481C2×C22⋊C4×C43—21no—
482C2×C22⋊C4×C43—21no—
483C2×C42×C43C2311yescharacteristic
484C24×C43—21no—
485C23×D43—21no—
486C23×D43—21no—
487#41×C43—41no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—41no—
492#41×C43—41no—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×C43—41no—
498C2×Q8×C43C2×D411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—41no—
515C2×D4×C43—41no—
516C2×D4×C43C2×D411yescharacteristic
517C2×D4×C43C2×D411yescharacteristic
518C2×D4×C43C2×D411yescharacteristic
519C2×D4×C43C2411yescharacteristic
520C2×D4×C43C2411yescharacteristic
521C2×D4×C43C2411yescharacteristic
522C22×C4×C43—21no—
523C22×C4×C43—21no—
524C22×C4×C43—21no—
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43C2×D411yescharacteristic
531C22×C4×C43C2×D411yescharacteristic
532C22×C4×C43C2411yescharacteristic
533C22×C4×C43C2411yescharacteristic
534C22×C4×C43C2411yescharacteristic
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542#10621900—82no—
543D4×D43—82no—
544#10621898—22no—
545#10621898—41no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—22no—
551C2×D172—22no—
552C2×D172—41no—
553C2×D172—41no—
554C2×D172C2411yescharacteristic
555C2×D172C2411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—82no—
567C2×Dic86—21no—
568C2×Dic86C2411yescharacteristic
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2×D411yescharacteristic
590C4⋊C4×C43C2×D411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43—21no—
604C22⋊C4×C43—21no—
605C22⋊C4×C43—21no—
606C22⋊C4×C43—21no—
607C22⋊C4×C43—21no—
608C22⋊C4×C43—21no—
609C22⋊C4×C43—21no—
610C22⋊C4×C43—21no—
611C22⋊C4×C43—21no—
612C22⋊C4×C43C2×D411yescharacteristic
613C22⋊C4×C43C2×D411yescharacteristic
614C22⋊C4×C43C2×D411yescharacteristic
615C22⋊C4×C43C2×D411yescharacteristic
616C22⋊C4×C43C2×D411yescharacteristic
617C22⋊C4×C43C2×D411yescharacteristic
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C22⋊C4×C43C2×D411yescharacteristic
621C22⋊C4×C43C2×D411yescharacteristic
622C42×C43—21no—
623C42×C43—21no—
624C42×C43—21no—
625C42×C43C2×D411yescharacteristic
626C42×C43C2×D411yescharacteristic
627C42×C43C2411yescharacteristic
628C42×C43C2411yescharacteristic
629C42×C43C2411yescharacteristic
630C42×C43C2411yescharacteristic
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634#10621885—41no—
635#10621885—41no—
636#10621885—41no—
637#10621884—22no—
638#10621884—22no—
639#10621884—22no—
640#10621884—41no—
641#10621884—41no—
642#10621884—41no—
643#10621884—41no—
644#10621884—41no—
645#10621884—41no—
646#10621883—41no—
647#10621883—41no—
648#10621883—41no—
649#10621882—22no—
650#10621882—22no—
651#10621882—22no—
652#10621882—41no—
653#10621882—41no—
654#10621882—41no—
655#10621882—41no—
656#10621882—41no—
657#10621882—41no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674C4⋊Dic43—21no—
675C4⋊Dic43—21no—
676C4⋊Dic43—21no—
677C4⋊Dic43C2411yescharacteristic
678C4⋊Dic43C2411yescharacteristic
679C4⋊Dic43C2411yescharacteristic
680C4⋊Dic43C2411yescharacteristic
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689C4×Dic43—21no—
690C4×Dic43—21no—
691C4×Dic43—21no—
692#10621877—41no—
693#10621877—41no—
694#10621877—41no—
695#10621877—41no—
696C2×C43⋊C8—41no—
697C2×C43⋊C8—41no—
698C2×C43⋊C8C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700C2×C43⋊C8C2411yescharacteristic
701C2×C43⋊C8C2411yescharacteristic
702C2×C43⋊C8C2411yescharacteristic
703C2×C43⋊C8C2411yescharacteristic
704C2×C43⋊C8C2411yescharacteristic
705C2×C43⋊C8C2411yescharacteristic
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—81no—
710C23×C43—81no—
711C23×C43—81no—
712C23×C43C22×D411yescharacteristic
713C23×C43C22×D411yescharacteristic
714C23×C43C22×D411yescharacteristic
715C22×D43—21no—
716C22×D43—21no—
717C22×D43—21no—
718C22×D43—42no—
719C22×D43—42no—
720C22×D43—42no—
721C22×D43—81no—
722C22×D43—81no—
723C22×D43—81no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—21no—
730Q8×C43—41no—
731Q8×C43—81no—
732D4×C43—21no—
733D4×C43—21no—
734D4×C43—21no—
735D4×C43—21no—
736D4×C43—21no—
737D4×C43—21no—
738D4×C43—41no—
739D4×C43—41no—
740D4×C43—41no—
741D4×C43—81no—
742D4×C43—81no—
743D4×C43—81no—
744D4×C43—81no—
745D4×C43—81no—
746D4×C43—81no—
747D4×C43—81no—
748D4×C43—81no—
749D4×C43—81no—
750D4×C43—81no—
751D4×C43—81no—
752D4×C43—81no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—41no—
765C2×C4×C43—41no—
766C2×C4×C43—81no—
767C2×C4×C43—81no—
768C2×C4×C43—81no—
769C2×C4×C43—81no—
770C2×C4×C43—81no—
771C2×C4×C43—81no—
772C2×C4×C43—81no—
773C2×C4×C43—81no—
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C2511yescharacteristic
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—42no—
797C2×Dic43—81no—
798D172—21no—
799D172—21no—
800D172—21no—
801D172—21no—
802D172—21no—
803D172—42no—
804D172—42no—
805D172—81no—
806D172—81no—
807D172H(5,𝔽2)12yes—
808C4×D43—42no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
813C4×D43—81no—
814C4×D43—81no—
815C4×D43—81no—
816C4×D43—81no—
817Dic86—21no—
818Dic86—21no—
819Dic86—81no—
820C43⋊C8—21no—
821C43⋊C8—21no—
822C43⋊C8—21no—
823C43⋊C8—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62027—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—21no—
835C22×C43—21no—
836C22×C43—21no—
837C22×C43—21no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43C23×D411yescharacteristic
849C2×D43—22no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—84no—
859C2×D43—162no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—21no—
865C4×C43—21no—
866C4×C43—21no—
867C4×C43—21no—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43C2×H(5,𝔽2)11yescharacteristic
877C4×C43#58511yescharacteristic
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883#3562D4311yescharacteristic, complemented
884#3513—431no—
885#3401—431no—
886#3396—431no—
887#3370—431no—
888#3360—431no—
889#3330—431no—
890#3327—431no—
891#3326—431no—
892#3317—431no—
893#3306—431no—
894#3297—431no—
895#3282—431no—
896#3274—431no—
897#3273—431no—
898#3273—431no—
899#3267—431no—
900#3265—431no—
901#3260—431no—
902#3257—431no—
903#3256—431no—
904#3225—431no—
905#3220—431no—
906#3212—431no—
907#3122—431no—
908#3120—431no—
909#3105—431no—
910#3045—431no—
911#3042—431no—
912#3036—431no—
913#2993—431no—
914C2×C43—41no—
915C2×C43—41no—
916C2×C43—41no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43—81no—
920C2×C43#348811yescharacteristic
921C2×C43#358411yescharacteristic
922C2×C43#358511yescharacteristic
923D43—42no—
924D43—81no—
925D43—81no—
926C2×AGL(1,ℤ/8)—431no—
927C2×AGL(1,ℤ/8)—431no—
928C2×AGL(1,ℤ/8)—431no—
929C2×AGL(1,ℤ/8)—431no—
930C2×#135—431no—
931C22×SD16—431no—
932#562—21no—
933#560—21no—
934#559—431no—
935#559C2×D4311yescharacteristic, complemented
936#556C2×D4311yescharacteristic, complemented
937#554—431no—
938#553—21no—
939#553—431no—
940#553—861no—
941#552—431no—
942#551—21no—
943#551—861no—
944#551—861no—
945#550C2×D4311yescharacteristic
946#548C2×D4311yescharacteristic
947#548C2×D4311yescharacteristic, complemented
948#547—431no—
949#547C2×D4311yescharacteristic, complemented
950#546—431no—
951#546—431no—
952#546—861no—
953#546C2×D4311yescharacteristic, complemented
954#546C2×D4311yescharacteristic, complemented
955D42—431no—
956#542—431no—
957#541C2×D4311yescharacteristic, complemented
958#540—21no—
959#540—431no—
960#540C2×D4311yescharacteristic, complemented
961#539—21no—
962#539—861no—
963#538—21no—
964#538—21no—
965#538—861no—
966#536C2×D4311yescharacteristic, complemented
967#535C2×D4311yescharacteristic, complemented
968#532C2×D4311yescharacteristic, complemented
969#529—431no—
970#529C2×D4311yescharacteristic
971#529C2×D4311yescharacteristic, complemented
972#525—861no—
973C2×#123—861no—
974#520—431no—
975#518—431no—
976C2×C4×D4—431no—
977#497—431no—
978#496—431no—
979#495—431no—
980#495—431no—
981#495—431no—
982#493—431no—
983#490—431no—
984#489—431no—
985#488—431no—
986#488—431no—
987#488—431no—
988#487—431no—
989#484—431no—
990#484—431no—
991#483—431no—
992#482—431no—
993#482—431no—
994#481—431no—
995#479—431no—
996#479—431no—
997#479—431no—
998#479—431no—
999#478—431no—
1000#478—431no—
1001#478—431no—
1002#478—431no—
1003#476—431no—
1004#474—431no—
1005#470—431no—
1006#469—431no—
1007#469—431no—
1008#468—431no—
1009#468—431no—
1010#468—431no—
1011#468—431no—
1012#468—431no—
1013#466—431no—
1014#465—431no—
1015#465—431no—
1016#465—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#463—431no—
1033#462—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461—431no—
1038#461—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#459—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#451—431no—
1053#450—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#448—431no—
1060#447—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#447—431no—
1065#446—431no—
1066C8×Q8—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#440—431no—
1071C4×Q16—431no—
1072C4×SD16—431no—
1073C4×SD16—431no—
1074C4×SD16—431no—
1075C4×D8—431no—
1076C4×D8—431no—
1077C4×D8—431no—
1078C4×D8—431no—
1079#436—431no—
1080#436—431no—
1081#436—431no—
1082#435—431no—
1083#435—431no—
1084C8×D4—431no—
1085#433—431no—
1086#433—431no—
1087#431—431no—
1088#424—431no—
1089#424—431no—
1090#423—431no—
1091#419—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#416—431no—
1096C2×#102—431no—
1097C43#6202711yescharacteristic, complemented, Sylow
1098C2×#41—431no—
1099C2×#41—861no—
1100C2×#41C22×D4311yescharacteristic
1101C2×#41C22×D4311yescharacteristic
1102C2×#41C22×D4311yescharacteristic
1103C2×#41C22×D4311yescharacteristic
1104C22×Q8C22×D4311yescharacteristic
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—861no—
1108C22×D4C22×D4311yescharacteristic
1109C23×C4—861no—
1110AGL(1,ℤ/8)—1722no—
1111AGL(1,ℤ/8)—1722no—
1112AGL(1,ℤ/8)—1722no—
1113AGL(1,ℤ/8)—1722no—
1114#135—1722no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16—431no—
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—431no—
1129C2×SD16—431no—
1130C2×SD16—1722no—
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8—431no—
1138C2×D8—431no—
1139C2×D8—431no—
1140C2×M16—431no—
1141C2×M16—431no—
1142C2×M16—431no—
1143C2×M16—431no—
1144C22×C8—431no—
1145C22×C8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8C22×D4311yescharacteristic
1148C4⋊Q8C22×D4311yescharacteristic
1149#127—21no—
1150#127—431no—
1151#127C22×D4311yescharacteristic
1152#127C22×D4311yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—861no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126C22⋊D4311yescharacteristic
1163#126C22⋊D4311yescharacteristic
1164#125—21no—
1165#125—21no—
1166#125—431no—
1167#125—431no—
1168#125—861no—
1169#125C22⋊D4311yescharacteristic
1170#125C22×D4311yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—431no—
1175#124—431no—
1176#124—861no—
1177#124—861no—
1178#124C22⋊D4311yescharacteristic
1179#124C22×D4311yescharacteristic
1180#124C22×D4311yescharacteristic
1181#124C22×D4311yescharacteristic
1182#124C22×D4311yescharacteristic
1183#124C22×D4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123C22⋊D4311yescharacteristic
1208#123C22⋊D4311yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8C22⋊D4311yescharacteristic
1222C22⋊Q8C22×D4311yescharacteristic
1223C22⋊Q8C22×D4311yescharacteristic
1224C22⋊Q8C22×D4311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—431no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121C22⋊D4311yescharacteristic
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#121C22×D4311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259#120—861no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8C22×D4311yescharacteristic
1263C4×Q8C22×D4311yescharacteristic
1264C4×Q8C22×D4311yescharacteristic
1265C4×Q8C22×D4311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—431no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4C22×D4311yescharacteristic
1291C4×D4C22×D4311yescharacteristic
1292C4×D4C22×D4311yescharacteristic
1293C4×D4C22×D4311yescharacteristic
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303#117C22×D4311yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—861no—
1308C2×C4⋊C4—861no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C22⋊C4—861no—
1315C2×C22⋊C4—861no—
1316C2×C42C22×D4311yescharacteristic
1317#107—431no—
1318#107—431no—
1319#107—431no—
1320#107—431no—
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324#106—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8—431no—
1334C4⋊C8—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102—431no—
1363#102—431no—
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8—431no—
1372C22⋊C8—431no—
1373#97—431no—
1374#97—431no—
1375C4×C8—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C4×C8—431no—
1379C24—21no—
1380C24—861no—
1381C24—861no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—862no—
1391#41—3442no—
1392#41—1721no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—431no—
1397C2×Q8—861no—
1398C2×Q8C2×C22⋊D4311yescharacteristic
1399C2×Q8C23×D4311yescharacteristic
1400C2×Q8C23×D4311yescharacteristic
1401C2×Q8C23×D4311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—431no—
1417C2×D4—431no—
1418C2×D4—431no—
1419C2×D4—862no—
1420C2×D4—862no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—3442no—
1431C2×D4—1721no—
1432C2×D4—1721no—
1433C2×D4C2×C22⋊D4311yescharacteristic
1434C2×D4C2×C22⋊D4311yescharacteristic
1435C2×D4C2×C22⋊D4311yescharacteristic
1436C2×D4C23×D4311yescharacteristic
1437C2×D4C23×D4311yescharacteristic
1438C2×D4C23×D4311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—3442no—
1459C22×C4C2×C22⋊D4311yescharacteristic
1460C22×C4C2×C22⋊D4311yescharacteristic
1461C22×C4C23×D4311yescharacteristic
1462C22×C4C23×D4311yescharacteristic
1463C22×C4C23×D4311yescharacteristic
1464Q16—1721no—
1465Q16—1721no—
1466Q16—1721no—
1467SD16—862no—
1468SD16—862no—
1469SD16—862no—
1470SD16—1721no—
1471SD16—1721no—
1472SD16—1721no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479D8—862no—
1480D8—862no—
1481D8—862no—
1482D8—1721no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488M16—1721no—
1489M16—1721no—
1490M16—1721no—
1491M16—1721no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—431no—
1497C2×C8—431no—
1498C2×C8—431no—
1499C2×C8—431no—
1500C2×C8—1721no—
1501C2×C8—1721no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4C2×C22⋊D4311yescharacteristic
1530C4⋊C4C2×C22⋊D4311yescharacteristic
1531C4⋊C4C2×C22⋊D4311yescharacteristic
1532C4⋊C4C2×C22⋊D4311yescharacteristic
1533C4⋊C4C2×C22⋊D4311yescharacteristic
1534C4⋊C4C2×C22⋊D4311yescharacteristic
1535C4⋊C4C2×C22⋊D4311yescharacteristic
1536C4⋊C4C2×C22⋊D4311yescharacteristic
1537C4⋊C4C2×C22⋊D4311yescharacteristic
1538C4⋊C4C2×C22⋊D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C4⋊C4C23×D4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4C2×C22⋊D4311yescharacteristic
1580C22⋊C4C2×C22⋊D4311yescharacteristic
1581C22⋊C4C2×C22⋊D4311yescharacteristic
1582C22⋊C4C2×C22⋊D4311yescharacteristic
1583C22⋊C4C2×C22⋊D4311yescharacteristic
1584C22⋊C4C2×C22⋊D4311yescharacteristic
1585C22⋊C4C2×C22⋊D4311yescharacteristic
1586C22⋊C4C2×C22⋊D4311yescharacteristic
1587C22⋊C4C2×C22⋊D4311yescharacteristic
1588C22⋊C4C2×C22⋊D4311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42C2×C22⋊D4311yescharacteristic
1596C42C2×C22⋊D4311yescharacteristic
1597C42C23×D4311yescharacteristic
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C42C23×D4311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—1722no—
1614C23—1722no—
1615C23—1722no—
1616C23C22×C22⋊D4311yescharacteristic
1617C23C22×C22⋊D4311yescharacteristic
1618C23C22×C22⋊D4311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—41no—
1626Q8—81no—
1627Q8—861no—
1628Q8—861no—
1629Q8—3441no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—41no—
1638D4—41no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—432no—
1652D4—861no—
1653D4—861no—
1654D4—861no—
1655D4—861no—
1656D4—861no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—1722no—
1663D4—1722no—
1664D4—1722no—
1665D4—1722no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—3441no—
1693C2×C4—3441no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—1722no—
1702C2×C4—1722no—
1703C2×C4C22×C22⋊D4311yescharacteristic
1704C2×C4C22×C22⋊D4311yescharacteristic
1705C2×C4C22×C22⋊D4311yescharacteristic
1706C2×C4C22×C22⋊D4311yescharacteristic
1707C2×C4C22×C22⋊D4311yescharacteristic
1708C2×C4C22×C22⋊D4311yescharacteristic
1709C2×C4C22×C22⋊D4311yescharacteristic
1710C2×C4C22×C22⋊D4311yescharacteristic
1711C2×C4C22×C22⋊D4311yescharacteristic
1712C2×C4C22×C22⋊D4311yescharacteristic
1713C2×C4C22×C22⋊D4311yescharacteristic
1714C2×C4C24×D4311yescharacteristic
1715C8—861no—
1716C8—861no—
1717C8—861no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C8—861no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—862no—
1743C22—3444no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—6882no—
1753C22C23×C22⋊D4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4H(5,𝔽2)×D4311yescharacteristic
1776C4#1458373411yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—3441no—
1784C2—3441no—
1785C2—1722no—
1786C2#1914825711yescharacteristic
1787C2#1914936611yescharacteristic
1788C2#1914937411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3562C2
socleC22×C43C23×D4
hypercenter#3562D43
hypocenterC43#62027
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3562

Complements

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

NH ≅ G/Ntype
1. #19148539C2semidirect
2. #19147661C2semidirect
3. #19147603C2semidirect
4. #19147342C2semidirect
5. #19147240C2semidirect
6. #19146900C2semidirect
7. #19146863C2semidirect
8. #19146848C2semidirect
9. #19146721C2semidirect
10. #19146556C2semidirect
11. #19146445C2semidirect
12. #19146303C2semidirect
13. #19146215C2semidirect
14. #19146202C2semidirect
15. #19146202C2semidirect
16. #19146121C2semidirect
17. #19146091C2semidirect
18. #19146036C2semidirect
19. #19146000C2semidirect
20. #19145991C2semidirect
21. #19145704C2semidirect
22. #19145645C2semidirect
23. #19145571C2semidirect
24. #19144833C2semidirect
25. #19144803C2semidirect
26. #19144638C2semidirect
27. #19144130C2semidirect
28. #19144103C2semidirect
29. #19144055C2semidirect
30. #19143744C2semidirect
31. C43×#3562C2semidirect
35. C2×#13063350C22semidirect
37. C22×#10621884C22semidirect
38. #14583634C22semidirect
39. #14583609C22semidirect
42. #14583589C22semidirect
49. D4×D172C22semidirect
50. #14583520C22semidirect
54. #14583433C22semidirect
58. #14583373C22semidirect
59. C2×C4×D172C22semidirect
60. #14583291C22semidirect
62. #14583281C22semidirect
63. #14583281C22semidirect
64. #14583281C22semidirect
66. #14583263C22semidirect
67. #14583258C22semidirect
68. #14583253C22semidirect
69. #14583253C22semidirect
70. #14583253C22semidirect
71. #14583249C22semidirect
72. #14583232C22semidirect
73. #14583232C22semidirect
74. #14583227C22semidirect
75. #14583220C22semidirect
76. #14583220C22semidirect
77. #14583215C22semidirect
78. #14583206C22semidirect
79. #14583206C22semidirect
80. #14583206C22semidirect
81. #14583203C22semidirect
82. #14583199C22semidirect
83. #14583196C22semidirect
84. #14583196C22semidirect
85. #14583196C22semidirect
86. #14583189C22semidirect
87. #14583179C22semidirect
88. #14583155C22semidirect
90. #14583150C22semidirect
91. #14583147C22semidirect
92. #14583147C22semidirect
93. #14583147C22semidirect
94. #14583143C22semidirect
95. #14583143C22semidirect
97. #14583130C22semidirect
98. #14583130C22semidirect
99. #14583126C22semidirect
100. #14583121C22semidirect
101. #14583118C22semidirect
102. #14583118C22semidirect
103. #14583114C22semidirect
104. #14583114C22semidirect
105. #14583114C22semidirect
110. #14583111C22semidirect
111. #14583111C22semidirect
112. #14583111C22semidirect
113. #14583111C22semidirect
114. #14583111C22semidirect
115. #14583111C22semidirect
116. #14583106C22semidirect
117. #14583101C22semidirect
118. #14583101C22semidirect
119. #14583101C22semidirect
120. #14583101C22semidirect
121. #14583101C22semidirect
122. #14583099C22semidirect
123. #14583099C22semidirect
124. #14583096C22semidirect
125. #14583096C22semidirect
128. #14583091C22semidirect
129. #14583091C22semidirect
130. #14583061C22semidirect
131. #14583061C22semidirect
132. #14583061C22semidirect
135. #14583055C22semidirect
136. #14583049C22semidirect
139. #14583044C22semidirect
140. #14583044C22semidirect
141. #14583044C22semidirect
142. #14583038C22semidirect
143. #14583033C22semidirect
144. #14583033C22semidirect
147. #14583032C22semidirect
148. #14583030C22semidirect
149. Q8×C43⋊C8C22semidirect
150. #14583009C22semidirect
151. #14583009C22semidirect
152. #14583004C22semidirect
153. #14582997C22semidirect
154. C4×#10621885C22semidirect
155. C4×#10621884C22semidirect
156. C4×#10621884C22semidirect
157. C4×#10621884C22semidirect
160. C4×#10621882C22semidirect
161. C4×#10621882C22semidirect
162. #14582977C22semidirect
163. #14582977C22semidirect
164. #14582977C22semidirect
165. #14582971C22semidirect
166. #14582971C22semidirect
167. D4×C43⋊C8C22semidirect
168. #14582960C22semidirect
169. #14582960C22semidirect
170. #14582952C22semidirect
171. #14582926C22semidirect
172. #14582926C22semidirect
173. #14582923C22semidirect
174. #14582908C22semidirect
175. #14582900C22semidirect
176. #14582900C22semidirect
177. #14582900C22semidirect
178. #14582895C22semidirect
179. C2×#13063246C22semidirect
182. C43×#559C22semidirect
183. C43×#556C22semidirect
188. C43×#548C22semidirect
189. C43×#547C22semidirect
190. C43×#546C22semidirect
191. C43×#546C22semidirect
192. C43×#541C22semidirect
194. C43×#540C22semidirect
198. C43×#536C22semidirect
199. C43×#535C22semidirect
200. C43×#532C22semidirect
202. C43×#529C22semidirect
883. #3562D43semidirect
935. #559C2×D43semidirect
936. #556C2×D43semidirect
947. #548C2×D43semidirect
949. #547C2×D43semidirect
953. #546C2×D43semidirect
954. #546C2×D43semidirect
957. #541C2×D43semidirect
960. #540C2×D43semidirect
966. #536C2×D43semidirect
967. #535C2×D43semidirect
968. #532C2×D43semidirect
971. #529C2×D43semidirect
1097. C43#62027semidirect

Maximal subgroups

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

subgroupindex
#191485392
#191476612
#191476032
#191473422
#191472402
#191469002
#191468632
#191468482
#191467212
#191465562
#191464452
#191463032
#191462152
#191462022
#191461212
#191460912
#191460362
#191460002
#191459912
#191457042
#191456452
#191455712
#191448332
#191448032
#191446382
#191441302
#191441032
#191440552
#191437442
C43×#35622
#6202743