Finite Group Databasebeta

← #25979684

Subgroups — #25979684

Order 11008.

1830 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#19148610C211yesmaximal, characteristic, complemented
2#19147655C211yesmaximal, characteristic, complemented
3#19147505C211yesmaximal, characteristic, complemented
4#19147422C211yesmaximal, characteristic, complemented
5#19147405C211yesmaximal, characteristic, complemented
6#19147179C211yesmaximal, characteristic, complemented
7#19147125C211yesmaximal, characteristic, complemented
8#19147089C211yesmaximal, characteristic, complemented
9#19146857C211yesmaximal, characteristic, complemented
10#19146826C211yesmaximal, characteristic, complemented
11#19146760C211yesmaximal, characteristic, complemented
12#19146751C211yesmaximal, characteristic, complemented
13#19146631C211yesmaximal, characteristic, complemented
14#19146580C211yesmaximal, characteristic, complemented
15#19146222C211yesmaximal, characteristic, complemented
16#19146101C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145280C211yesmaximal, characteristic, complemented
19#19145228C211yesmaximal, characteristic, complemented
20#19145202C211yesmaximal, characteristic, complemented
21#19144881C211yesmaximal, characteristic, complemented
22#19144857C211yesmaximal, characteristic, complemented
23#19144818C211yesmaximal, characteristic, complemented
24#19144779C211yesmaximal, characteristic, complemented
25#19144698C211yesmaximal, characteristic, complemented
26#19144694C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143452C211yesmaximal, characteristic, complemented
29#19143434C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3513C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35Q8×Dic86C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583620—21no—
38#14583619C2211yescharacteristic
39#14583619C2211yescharacteristic, complemented
40#14583616—21no—
41#14583616—21no—
42#14583614C2211yescharacteristic, complemented
43#14583613—21no—
44D4×Dic86C2211yescharacteristic, complemented
45#14583558C2211yescharacteristic
46#14583558C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic, complemented
48#14583520C2211yescharacteristic, complemented
49#14583517—21no—
50#14583517—21no—
51#14583456C2211yescharacteristic, complemented
52#14583455—21no—
53#14583428—21no—
54#14583376C2211yescharacteristic, complemented
55#14583376C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic, complemented
57#14583309C2211yescharacteristic, complemented
58#14583309C2211yescharacteristic, complemented
59#14583302C2211yescharacteristic, complemented
60#14583294C2211yescharacteristic, complemented
61#14583286C2211yescharacteristic
62#14583281C2211yescharacteristic, complemented
63#14583269C2211yescharacteristic, complemented
64#14583261C2211yescharacteristic, complemented
65#14583258C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583256C2211yescharacteristic, complemented
68#14583245C2211yescharacteristic
69#14583240C2211yescharacteristic, complemented
70#14583237C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583234C2211yescharacteristic, complemented
73#14583234C2211yescharacteristic, complemented
74#14583234C2211yescharacteristic, complemented
75#14583223C2211yescharacteristic, complemented
76#14583220C2211yescharacteristic
77#14583220C2211yescharacteristic
78#14583220C2211yescharacteristic, complemented
79#14583220C2211yescharacteristic, complemented
80#14583212C2211yescharacteristic, complemented
81#14583203C2211yescharacteristic, complemented
82#14583203C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583196C2211yescharacteristic, complemented
85#14583194C2211yescharacteristic, complemented
86#14583191C2211yescharacteristic, complemented
87#14583189C2211yescharacteristic
88#14583181C2211yescharacteristic, complemented
89#14583179C2211yescharacteristic
90#14583179C2211yescharacteristic
91#14583179C2211yescharacteristic, complemented
92#14583179C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583155C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583147C2211yescharacteristic, complemented
97#14583143C2211yescharacteristic
98#14583143C2211yescharacteristic
99#14583143C2211yescharacteristic
100#14583143C2211yescharacteristic, complemented
101#14583138C2211yescharacteristic, complemented
102#14583133C2211yescharacteristic
103#14583133C2211yescharacteristic, complemented
104#14583126C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583118C2211yescharacteristic, complemented
107#14583118C2211yescharacteristic, complemented
108#14583118C2211yescharacteristic, complemented
109#14583114C2211yescharacteristic
110#14583114C2211yescharacteristic
111#14583114C2211yescharacteristic, complemented
112#14583111C2211yescharacteristic, complemented
113#14583104C2211yescharacteristic
114#14583104C2211yescharacteristic, complemented
115#14583096C2211yescharacteristic
116#14583096C2211yescharacteristic
117#14583061C2211yescharacteristic
118#14583059C2211yescharacteristic, complemented
119#14583054C2211yescharacteristic, complemented
120#14583050C2211yescharacteristic
121#14583050C2211yescharacteristic
122#14583050C2211yescharacteristic
123#14583044C2211yescharacteristic
124#14583042C2211yescharacteristic
125#14583037C2211yescharacteristic
126#14583037C2211yescharacteristic, complemented
127#14583037C2211yescharacteristic, complemented
128#14583033C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic, complemented
133#14583009C2211yescharacteristic, complemented
134#14583004C2211yescharacteristic, complemented
135#14583004C2211yescharacteristic, complemented
136#14582999C2211yescharacteristic
137#14582999C2211yescharacteristic
138#14582999C2211yescharacteristic
139#14582999C2211yescharacteristic
140#14582999C2211yescharacteristic
141#14582999C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582999C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621883C2211yescharacteristic
151C4×#10621883C2211yescharacteristic
152C4×#10621883C2211yescharacteristic
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621883C2211yescharacteristic, complemented
155C4×#10621883C2211yescharacteristic, complemented
156C4×#10621883C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic
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#14582939C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582907C2211yescharacteristic, complemented
172#14582904C2211yescharacteristic
173#14582904C2211yescharacteristic
174#14582898C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic
176C2×#13063248C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#559C2211yescharacteristic
181C43×#554C2211yescharacteristic
182C43×#553—21no—
183C43×#553C2211yescharacteristic
184C43×#552C2211yescharacteristic
185C43×#551—21no—
186C43×#551—21no—
187C43×#547C2211yescharacteristic
188C43×#546—21no—
189C43×#546C2211yescharacteristic
190C43×#546C2211yescharacteristic
191D42×C43C2211yescharacteristic
192C43×#542C2211yescharacteristic
193C43×#540C2211yescharacteristic
194C43×#539—21no—
195C43×#538—21no—
196C43×#529C2211yescharacteristic
197C43×#529C2211yescharacteristic
198C43×#525—21no—
199C2×#123×C43—21no—
200C43×#520C2211yescharacteristic
201C43×#518C2211yescharacteristic
202C2×C4×D4×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C22×Dic86C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206#13063355—24no—
207#13063351—24no—
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621883—24no—
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324—21no—
236#13063324—21no—
237#13063324—21no—
238#13063324—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317—21no—
248#13063313C2311yescharacteristic
249#13063313C2311yescharacteristic
250#13063312—21no—
251#13063312—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063307—21no—
259#13063307—21no—
260#13063304—21no—
261#13063304C2311yescharacteristic
262#13063304C2311yescharacteristic
263#13063304C2311yescharacteristic
264#13063304C2311yescharacteristic
265#13063303—21no—
266#13063303—21no—
267#13063303—21no—
268#13063303—21no—
269#13063302—21no—
270#13063302—21no—
271#13063301—21no—
272#13063299C2311yescharacteristic
273#13063299C2311yescharacteristic
274#13063297—21no—
275#13063297—21no—
276#13063296—21no—
277Q8×Dic43—21no—
278C4×Dic86—21no—
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283C4×Dic86C2311yescharacteristic
284C4×Dic86C2311yescharacteristic
285C4×Dic86C2311yescharacteristic
286C4×Dic86C2311yescharacteristic
287#13063290—21no—
288#13063290—21no—
289#13063290—21no—
290#13063290—21no—
291#13063290—21no—
292#13063290—21no—
293C4×D172C2311yescharacteristic
294C4×D172C2311yescharacteristic
295D4×Dic43—21no—
296C4×C22⋊D43—21no—
297C4×C22⋊D43—21no—
298(C22⋊D43)⋊C4—21no—
299(C22⋊D43)⋊C4—21no—
300#13063284—21no—
301#13063284C2311yescharacteristic
302#13063284C2311yescharacteristic
303#13063284C2311yescharacteristic
304#13063283—21no—
305#13063283—21no—
306#13063282—21no—
307#13063281—21no—
308#13063281—21no—
309#13063281—21no—
310#13063281—21no—
311C42×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#13063248C2311yescharacteristic
339#13063248C2311yescharacteristic
340#13063248C2311yescharacteristic
341#13063248C2311yescharacteristic
342#13063248C2311yescharacteristic
343#13063248C2311yescharacteristic
344#13063248C2311yescharacteristic
345#13063248C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063246C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
358#13063246C2311yescharacteristic
359#13063246C2311yescharacteristic
360#13063246C2311yescharacteristic
361#13063246C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43—21no—
383C2×#41×C43C2311yescharacteristic
384C22×D4×C43—21no—
385C22×D4×C43C2311yescharacteristic
386C22×D4×C43C2311yescharacteristic
387C23×C4×C43—21no—
388C4⋊Q8×C43C2311yescharacteristic
389#127×C43C2311yescharacteristic
390#126×C43—21no—
391#126×C43—21no—
392#126×C43—21no—
393#126×C43—21no—
394#126×C43D411yescharacteristic
395#126×C43D411yescharacteristic
396#125×C43—21no—
397#125×C43D411yescharacteristic
398#125×C43C2311yescharacteristic
399#125×C43C2311yescharacteristic
400#124×C43—21no—
401#124×C43—21no—
402#124×C43D411yescharacteristic
403#124×C43C2311yescharacteristic
404#124×C43C2311yescharacteristic
405#123×C43—21no—
406#123×C43—21no—
407#123×C43—21no—
408#123×C43—21no—
409#123×C43—21no—
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43—21no—
416#123×C43—21no—
417#123×C43D411yescharacteristic
418#123×C43D411yescharacteristic
419C22⋊Q8×C43—21no—
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43D411yescharacteristic
425C22⋊Q8×C43C2311yescharacteristic
426C22⋊Q8×C43C2311yescharacteristic
427#121×C43—21no—
428#121×C43—21no—
429#121×C43—21no—
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43D411yescharacteristic
434#121×C43C2311yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#121×C43C2311yescharacteristic
438#120×C43—21no—
439#120×C43—21no—
440#120×C43—21no—
441#120×C43—21no—
442C4×Q8×C43C2311yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×D4×C43—21no—
446C4×D4×C43—21no—
447C4×D4×C43—21no—
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471C2×C4⋊C4×C43—21no—
472C2×C4⋊C4×C43—21no—
473C2×C4⋊C4×C43C2311yescharacteristic
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C22⋊C4×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2×D411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—22no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43—82no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43—82no—
521C22×C4×C43C2×D411yescharacteristic
522C22×C4×C43C2×D411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531#10621898—22no—
532#10621898—41no—
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×Dic86—22no—
538C2×Dic86—22no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—41no—
545C2×Dic86—41no—
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43C2×D411yescharacteristic
607C42×C43C2×D411yescharacteristic
608C42×C43C2411yescharacteristic
609C42×C43C2411yescharacteristic
610C42×C43C2411yescharacteristic
611C42×C43C2411yescharacteristic
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619#10621885—22no—
620#10621885—22no—
621#10621885—41no—
622#10621884—41no—
623#10621883—22no—
624#10621883—22no—
625#10621883—22no—
626#10621883—22no—
627#10621883—22no—
628#10621883—41no—
629#10621883—41no—
630#10621883—41no—
631#10621883#4114yescomplemented
632#10621882—22no—
633#10621882—22no—
634#10621882—41no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675#10621877—22no—
676#10621877—22no—
677#10621877—41no—
678#10621877—41no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8—41no—
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—42no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C23×C43C22×D411yescharacteristic
700C23×C43C22×D411yescharacteristic
701C22×D43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—41no—
705Q8×C43—81no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—41no—
714D4×C43—42no—
715D4×C43—42no—
716D4×C43—42no—
717D4×C43—42no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43C2×#4112yes—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—41no—
736C2×C4×C43—41no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—42no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—42no—
771C2×Dic43—42no—
772D172—21no—
773D172—21no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
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#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—22no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—84no—
816C22×C43—162no—
817C22×C43C23×D411yescharacteristic
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
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×C43C22×#4111yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—22no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513D4311yescharacteristic, complemented
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—42no—
881C2×C43—81no—
882C2×C43—81no—
883C2×C43D4×#4111yescharacteristic
884C2×C43#358511yescharacteristic
885C2×C43#358611yescharacteristic
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559C2×D4311yescharacteristic
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554C2×D4311yescharacteristic
901#553—21no—
902#553C2×D4311yescharacteristic
903#552C2×D4311yescharacteristic
904#551—21no—
905#551—21no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547C2×D4311yescharacteristic
910#546—21no—
911#546C2×D4311yescharacteristic
912#546C2×D4311yescharacteristic
913D42C2×D4311yescharacteristic
914#542—431no—
915#542—431no—
916#542—861no—
917#542—861no—
918#542C2×D4311yescharacteristic
919#540C2×D4311yescharacteristic
920#539—21no—
921#538—21no—
922#533—431no—
923#533—861no—
924#529—861no—
925#529C2×D4311yescharacteristic
926#529C2×D4311yescharacteristic
927#525—21no—
928C2×#123—21no—
929#520C2×D4311yescharacteristic
930#519—431no—
931#519—431no—
932#518C2×D4311yescharacteristic
933C4×#41—431no—
934C2×C4×D4C2×D4311yescharacteristic
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—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×SD16—431no—
1034C4×SD16—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—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—21no—
1065C22×D4C22×D4311yescharacteristic
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—21no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—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—864no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101C4⋊Q8C22×D4311yescharacteristic
1102#127C22×D4311yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126C22⋊D4311yescharacteristic
1116#126C22⋊D4311yescharacteristic
1117#125—21no—
1118#125—861no—
1119#125C22⋊D4311yescharacteristic
1120#125C22×D4311yescharacteristic
1121#125C22×D4311yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—431no—
1125#124—431no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124C22⋊D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#124C22×D4311yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—861no—
1150#123—861no—
1151#123C22⋊D4311yescharacteristic
1152#123C22⋊D4311yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8C22⋊D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121C22⋊D4311yescharacteristic
1185#121C22×D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8C22×D4311yescharacteristic
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—431no—
1222C4×D4—431no—
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
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117C22×D4311yescharacteristic
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#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—21no—
1338C24—21no—
1339#41—22no—
1340#41—41no—
1341#41—82no—
1342#41—862no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—862no—
1349C2×Q8—862no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—1721no—
1356C2×Q8—1721no—
1357C2×Q8C2×C22⋊D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—82no—
1373C2×D4—431no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4C2×C22⋊D4311yescharacteristic
1378C2×D4C2×C22⋊D4311yescharacteristic
1379C2×D4C2×C22⋊D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—82no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4C2×C22⋊D4311yescharacteristic
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—434no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—862no—
1434C2×C8—1721no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4C2×C22⋊D4311yescharacteristic
1468C4⋊C4C2×C22⋊D4311yescharacteristic
1469C4⋊C4C2×C22⋊D4311yescharacteristic
1470C4⋊C4C2×C22⋊D4311yescharacteristic
1471C4⋊C4C2×C22⋊D4311yescharacteristic
1472C4⋊C4C2×C22⋊D4311yescharacteristic
1473C4⋊C4C2×C22⋊D4311yescharacteristic
1474C4⋊C4C2×C22⋊D4311yescharacteristic
1475C4⋊C4C2×C22⋊D4311yescharacteristic
1476C4⋊C4C2×C22⋊D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—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⋊C4C2×C22⋊D4311yescharacteristic
1516C22⋊C4C2×C22⋊D4311yescharacteristic
1517C22⋊C4C2×C22⋊D4311yescharacteristic
1518C22⋊C4C2×C22⋊D4311yescharacteristic
1519C22⋊C4C2×C22⋊D4311yescharacteristic
1520C22⋊C4C2×C22⋊D4311yescharacteristic
1521C22⋊C4C2×C22⋊D4311yescharacteristic
1522C22⋊C4C2×C22⋊D4311yescharacteristic
1523C22⋊C4C2×C22⋊D4311yescharacteristic
1524C22⋊C4C2×C22⋊D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C2×C22⋊D4311yescharacteristic
1540C42C2×C22⋊D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23—861no—
1555C23C22×C22⋊D4311yescharacteristic
1556C23C22×C22⋊D4311yescharacteristic
1557C23C22×C22⋊D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—81no—
1562Q8—432no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—3441no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—861no—
1591D4—861no—
1592D4—3441no—
1593D4—3441no—
1594D4—1722no—
1595D4#41×D4312yes—
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—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—3441no—
1628C2×C4—1722no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4C22×C22⋊D4311yescharacteristic
1633C2×C4C22×C22⋊D4311yescharacteristic
1634C2×C4C22×C22⋊D4311yescharacteristic
1635C2×C4C22×C22⋊D4311yescharacteristic
1636C2×C4C22×C22⋊D4311yescharacteristic
1637C2×C4C22×C22⋊D4311yescharacteristic
1638C2×C4C22×C22⋊D4311yescharacteristic
1639C2×C4C22×C22⋊D4311yescharacteristic
1640C2×C4C22×C22⋊D4311yescharacteristic
1641C2×C4C22×C22⋊D4311yescharacteristic
1642C2×C4C22×C22⋊D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—432no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—162no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
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—862no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—3441no—
1708C2#41×C22⋊D4311yescharacteristic
1709C2#1914937511yescharacteristic
1710C2#1914938111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3513C2
socleC22×C43C23×D4
hypercenter#3513D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #19148610C2semidirect
2. #19147655C2semidirect
3. #19147505C2semidirect
4. #19147422C2semidirect
5. #19147405C2semidirect
6. #19147179C2semidirect
7. #19147125C2semidirect
8. #19147089C2semidirect
9. #19146857C2semidirect
10. #19146826C2semidirect
11. #19146760C2semidirect
12. #19146751C2semidirect
13. #19146631C2semidirect
14. #19146580C2semidirect
15. #19146222C2semidirect
16. #19146101C2semidirect
17. #19146086C2semidirect
18. #19145280C2semidirect
19. #19145228C2semidirect
20. #19145202C2semidirect
21. #19144881C2semidirect
22. #19144857C2semidirect
23. #19144818C2semidirect
24. #19144779C2semidirect
25. #19144698C2semidirect
26. #19144694C2semidirect
27. #19143582C2semidirect
28. #19143452C2semidirect
29. #19143434C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3513C2semidirect
35. Q8×Dic86C22semidirect
36. #14583622C22semidirect
39. #14583619C22semidirect
42. #14583614C22semidirect
44. D4×Dic86C22semidirect
46. #14583558C22semidirect
47. #14583520C22semidirect
48. #14583520C22semidirect
51. #14583456C22semidirect
54. #14583376C22semidirect
55. #14583376C22semidirect
56. C4×#10621898C22semidirect
57. #14583309C22semidirect
58. #14583309C22semidirect
59. #14583302C22semidirect
60. #14583294C22semidirect
62. #14583281C22semidirect
63. #14583269C22semidirect
64. #14583261C22semidirect
65. #14583258C22semidirect
66. #14583258C22semidirect
67. #14583256C22semidirect
69. #14583240C22semidirect
70. #14583237C22semidirect
71. #14583237C22semidirect
72. #14583234C22semidirect
73. #14583234C22semidirect
74. #14583234C22semidirect
75. #14583223C22semidirect
78. #14583220C22semidirect
79. #14583220C22semidirect
80. #14583212C22semidirect
81. #14583203C22semidirect
82. #14583203C22semidirect
83. #14583203C22semidirect
84. #14583196C22semidirect
85. #14583194C22semidirect
86. #14583191C22semidirect
88. #14583181C22semidirect
91. #14583179C22semidirect
92. #14583179C22semidirect
93. #14583155C22semidirect
94. #14583155C22semidirect
95. #14583150C22semidirect
96. #14583147C22semidirect
100. #14583143C22semidirect
101. #14583138C22semidirect
103. #14583133C22semidirect
104. #14583126C22semidirect
105. #14583121C22semidirect
106. #14583118C22semidirect
107. #14583118C22semidirect
108. #14583118C22semidirect
111. #14583114C22semidirect
112. #14583111C22semidirect
114. #14583104C22semidirect
118. #14583059C22semidirect
119. #14583054C22semidirect
126. #14583037C22semidirect
127. #14583037C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
132. #14583009C22semidirect
133. #14583009C22semidirect
134. #14583004C22semidirect
135. #14583004C22semidirect
141. #14582999C22semidirect
142. #14582999C22semidirect
143. #14582999C22semidirect
144. #14582999C22semidirect
145. #14582999C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
153. C4×#10621883C22semidirect
154. C4×#10621883C22semidirect
155. C4×#10621883C22semidirect
156. C4×#10621883C22semidirect
158. C4×#10621882C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582939C22semidirect
169. #14582939C22semidirect
170. #14582935C22semidirect
171. #14582907C22semidirect
174. #14582898C22semidirect
176. C2×#13063248C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
631. #10621883#41semidirect
847. #3513D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486102
#191476552
#191475052
#191474222
#191474052
#191471792
#191471252
#191470892
#191468572
#191468262
#191467602
#191467512
#191466312
#191465802
#191462222
#191461012
#191460862
#191452802
#191452282
#191452022
#191448812
#191448572
#191448182
#191447792
#191446982
#191446942
#191435822
#191434522
#191434342
C4×#130633512
C43×#35132
#6150343