Finite Group Databasebeta

← #25973628

Subgroups — #25973628

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148156C211yesmaximal, characteristic, complemented
2#548×D43C211yesmaximal, characteristic, complemented
3#19146869C211yesmaximal, characteristic, complemented
4#19146867C211yesmaximal, characteristic, complemented
5#19146846C211yesmaximal, characteristic, complemented
6#19146844C211yesmaximal, characteristic, complemented
7#19146783C211yesmaximal, characteristic, complemented
8#19146781C211yesmaximal, characteristic, complemented
9#19146713C211yesmaximal, characteristic, complemented
10#19146711C211yesmaximal, characteristic, complemented
11#19146655C211yesmaximal, characteristic, complemented
12#19146585C211yesmaximal, characteristic, complemented
13#19146583C211yesmaximal, characteristic, complemented
14#19146500C211yesmaximal, characteristic, complemented
15#19146498C211yesmaximal, characteristic, complemented
16#19146477C211yesmaximal, characteristic, complemented
17#19146475C211yesmaximal, characteristic, complemented
18#19144980C211yesmaximal, characteristic, complemented
19#19144542C211yesmaximal, characteristic, complemented
20#19144534C211yesmaximal, characteristic, complemented
21#19144401C211yesmaximal, characteristic, complemented
22#19144222C211yesmaximal, characteristic, complemented
23#19144209C211yesmaximal, characteristic, complemented
24#19144086C211yesmaximal, characteristic, complemented
25#19143838C211yesmaximal, characteristic, complemented
26#19143830C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143110C211yesmaximal, characteristic, complemented
30#419×D43C211yesmaximal, characteristic, complemented
31C43×#3313C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic
36C2×#13063352C2211yescharacteristic
37C22×#10621872C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic
39#14583614C2211yescharacteristic, complemented
40#14583609C2211yescharacteristic, complemented
41#14583593C2211yescharacteristic, complemented
42#14583593C2211yescharacteristic, complemented
43#14583590—21no—
44#14583583C2211yescharacteristic, complemented
45#14583583C2211yescharacteristic, complemented
46#14583574—21no—
47#14583574—21no—
48#14583561C2211yescharacteristic
49#14583560C2211yescharacteristic
50#14583559—21no—
51#14583559C2211yescharacteristic
52#14583558—21no—
53#14583558C2211yescharacteristic
54#14583557—21no—
55#14583557C2211yescharacteristic
56#14583556C2211yescharacteristic
57#14583555—21no—
58#14583555C2211yescharacteristic
59#14583552C2211yescharacteristic, complemented
60#14583542—21no—
61#14583454C2211yescharacteristic
62#14583432—21no—
63#14583432—21no—
64#14583428—21no—
65#124×D43—21no—
66#124×D43C2211yescharacteristic
67#14583412C2211yescharacteristic
68#14583412C2211yescharacteristic
69C22⋊Q8×D43—21no—
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43—21no—
72#121×D43C2211yescharacteristic
73C4×#10621902—21no—
74C4×#10621902C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic
76C4×D4×D43—21no—
77C4×D4×D43C2211yescharacteristic
78#117×D43C2211yescharacteristic
79#117×D43C2211yescharacteristic
80#14583261C2211yescharacteristic, complemented
81#14583259C2211yescharacteristic, complemented
82#14583258C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583185C2211yescharacteristic, complemented
107#14583184C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583154C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583138C2211yescharacteristic, complemented
116#14583136C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583131C2211yescharacteristic, complemented
119#14583130C2211yescharacteristic, complemented
120#14583128C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583115C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583111C2211yescharacteristic, complemented
129#14583060C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic, complemented
131#14583058C2211yescharacteristic, complemented
132#14583054C2211yescharacteristic, complemented
133#14583053C2211yescharacteristic, complemented
134#14583053C2211yescharacteristic, complemented
135#14583047C2211yescharacteristic, complemented
136#14583046C2211yescharacteristic, complemented
137#14583045C2211yescharacteristic, complemented
138#14583044C2211yescharacteristic, complemented
139#14583040C2211yescharacteristic, complemented
140#14583039C2211yescharacteristic, complemented
141#14583039C2211yescharacteristic, complemented
142#14583038C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146Q16×Dic43C2211yescharacteristic, complemented
147#14582991C2211yescharacteristic, complemented
148#14582986C2211yescharacteristic, complemented
149#14582984C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152#14582972C2211yescharacteristic, complemented
153#14582971C2211yescharacteristic, complemented
154#14582969C2211yescharacteristic, complemented
155C8×C22⋊D43C2211yescharacteristic, complemented
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582938C2211yescharacteristic
160#14582921C2211yescharacteristic
161#14582909C2211yescharacteristic, complemented
162#14582908C2211yescharacteristic, complemented
163#14582907C2211yescharacteristic, complemented
164#14582906C2211yescharacteristic
165#14582906C2211yescharacteristic
166#14582906C2211yescharacteristic
167#14582906C2211yescharacteristic
168#14582906C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582902C2211yescharacteristic
172#14582902C2211yescharacteristic
173#14582899C2211yescharacteristic
174#14582899C2211yescharacteristic, complemented
175#14582899C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582897C2211yescharacteristic, complemented
178#14582896C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic, complemented
180#14582893C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#556C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210#41×D43—24no—
211#41×D43—42no—
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43—21no—
216C2×Q8×D43—24no—
217C2×Q8×D43—42no—
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43D411yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230#13063357—24no—
231#13063357—42no—
232#13063352—42no—
233C2×#10621885C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240C2×D344C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242C2×#10621877C2311yescharacteristic
243C2×#10621872—42no—
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250M16×D43—42no—
251C22×C43⋊C8C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063325C2311yescharacteristic
255#13063319—21no—
256#13063319—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317—21no—
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063314—21no—
265#13063314C2311yescharacteristic
266#13063313—21no—
267#13063313C2311yescharacteristic
268#13063312—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063295—21no—
325#13063295—21no—
326Q8×Dic43—21no—
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290—21no—
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43—21no—
342D4×Dic43D411yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287D411yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4D411yescharacteristic
358(C22⋊D43)⋊C4D411yescharacteristic
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063281—21no—
371#13063281—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43D411yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43D411yescharacteristic
387C22⋊C4×D43D411yescharacteristic
388C42×D43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452#126×C43—21no—
453#126×C43—21no—
454#124×C43—21no—
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463C4×Q8×C43—21no—
464C4×Q8×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489C23×D43C2×D411yescharacteristic
490#41×C43—22no—
491#41×C43—41no—
492C2×Q8×C43—21no—
493C2×Q8×C43—21no—
494C2×Q8×C43—22no—
495C2×Q8×C43—41no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43C2411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43C2×D411yescharacteristic
519C22×Dic43C2×D411yescharacteristic
520#10621902—22no—
521#10621902—22no—
522#10621902—22no—
523#10621902—41no—
524#10621902—44no—
525Q8×D43—22no—
526Q8×D43—22no—
527Q8×D43—22no—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—41no—
531Q8×D43—41no—
532Q8×D43—44no—
533Q8×D43—44no—
534Q8×D43#4114yescomplemented
535#10621900—22no—
536#10621900—41no—
537#10621900—44no—
538D4×D43—22no—
539D4×D43—22no—
540D4×D43—44no—
541D4×D43—42no—
542D4×D43—44no—
543#10621898—22no—
544#10621898—44no—
545#10621898—41no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172C2×D411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×D172C2411yescharacteristic
554C2×C4×D43—22no—
555C2×C4×D43—22no—
556C2×C4×D43—22no—
557C2×C4×D43—22no—
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—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—44no—
573C2×C4×D43—44no—
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×Dic86—21no—
584C2×Dic86—22no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—41no—
591C2×Dic86—44no—
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594Q16×C43—22no—
595Q16×C43—41no—
596SD16×C43—41no—
597M16×C43—41no—
598C2×C8×C43—41no—
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43C2×D411yescharacteristic
623C22⋊C4×C43C2×D411yescharacteristic
624C42×C43—21no—
625C42×C43—21no—
626C42×C43—21no—
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—22no—
638#10621885—41no—
639#10621884—22no—
640#10621884—41no—
641#10621884—41no—
642#10621882—41no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43C2×D411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710D344—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717#10621872—41no—
718#10621872—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43C22×D411yescharacteristic
723C23×C43C22×D411yescharacteristic
724C22×D43—22no—
725C22×D43—22no—
726C22×D43—22no—
727C22×D43—21no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—41no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—42no—
735C22×D43C22×D411yescharacteristic
736C22×D43C22×D411yescharacteristic
737C22×D43C22×D411yescharacteristic
738Q8×C43—21no—
739Q8×C43—21no—
740Q8×C43—21no—
741Q8×C43—21no—
742Q8×C43—21no—
743Q8×C43—42no—
744Q8×C43—42no—
745Q8×C43C2×#4112yes—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—41no—
749D4×C43—42no—
750D4×C43—42no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
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—42no—
763C2×C4×C43—42no—
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C22×D411yescharacteristic
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C2511yescharacteristic
769C22⋊D43—22no—
770C22⋊D43—41no—
771C22⋊D43—42no—
772C22⋊D43—42no—
773C22⋊D43—42no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—81no—
777C22⋊D43—81no—
778C2×Dic43—21no—
779C2×Dic43—22no—
780C2×Dic43—22no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—42no—
787C2×Dic43—42no—
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793D172—22no—
794D172—21no—
795D172—21no—
796D172—21no—
797D172—21no—
798D172—42no—
799D172—42no—
800D172—42no—
801D172—42no—
802D172—42no—
803C4×D43—22no—
804C4×D43—22no—
805C4×D43—24no—
806C4×D43—21no—
807C4×D43—21no—
808C4×D43—21no—
809C4×D43—21no—
810C4×D43—22no—
811C4×D43—22no—
812C4×D43—41no—
813C4×D43—41no—
814C4×D43—42no—
815C4×D43—42no—
816C4×D43—42no—
817C4×D43—42no—
818C4×D43—42no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—81no—
825C4×D43—81no—
826C4×D43—81no—
827C4×D43C2×#4112yes—
828C4×D43H(5,𝔽2)12yes—
829Dic86—21no—
830Dic86—24no—
831Dic86—21no—
832Dic86—21no—
833Dic86—42no—
834Dic86—42no—
835Dic86—42no—
836Dic86—42no—
837Dic86—81no—
838Dic86C2×#4112yes—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61158—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—21no—
853C22×C43—21no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43C23×D411yescharacteristic
858C2×D43—21no—
859C2×D43—21no—
860C2×D43—21no—
861C2×D43—21no—
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—44no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—82no—
873C2×D43—84no—
874C2×D43#54612yes—
875C2×D43#57512yes—
876C4×C43—21no—
877C4×C43—22no—
878C4×C43—21no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43C22×#4111yescharacteristic
888C4×C43C2×H(5,𝔽2)11yescharacteristic
889Dic43—21no—
890Dic43—22no—
891Dic43—21no—
892Dic43—21no—
893Dic43—21no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43#54612yes—
900#3475—431no—
901C2×#548—431no—
902#3327—431no—
903#3327—431no—
904#3326—431no—
905#3326—431no—
906#3321—431no—
907#3321—431no—
908#3316—431no—
909#3316—431no—
910#3313—431no—
911#3313D4311yescharacteristic, complemented
912#3308—431no—
913#3308—431no—
914#3301—431no—
915#3301—431no—
916#3300—431no—
917#3300—431no—
918#3140—431no—
919#3095—431no—
920#3094—431no—
921#3078—431no—
922#3056—431no—
923#3055—431no—
924#3040—431no—
925#3005—431no—
926#3004—431no—
927C4×#137—431no—
928D4×M16—431no—
929#2896—431no—
930C2×#419—431no—
931C2×C43—41no—
932C2×C43—41no—
933C2×C43—81no—
934C2×C43C2×#54611yescharacteristic
935C2×C43C2×#57511yescharacteristic
936C2×C43#358611yescharacteristic
937D43—22no—
938D43—22no—
939D43—41no—
940D43—81no—
941D43—81no—
942C22×#41—431no—
943C23×Q8—431no—
944C2×#137—431no—
945C2×#137—431no—
946C2×AGL(1,ℤ/8)—431no—
947C22×M16—431no—
948C22×M16—431no—
949#556C2×D4311yescharacteristic, complemented
950#555—431no—
951#554—431no—
952#553—431no—
953#553—431no—
954#552—431no—
955#552—431no—
956#552—861no—
957#551—861no—
958#551—861no—
959#548—431no—
960#548—431no—
961#548—431no—
962#548—431no—
963#548—431no—
964#548—431no—
965#548—431no—
966#548—861no—
967#548—861no—
968#548—861no—
969#548—861no—
970#548C2×D4311yescharacteristic
971#547—431no—
972#546—861no—
973#533—431no—
974#529—861no—
975#529—861no—
976#529—861no—
977C2×#124—431no—
978C2×#124—861no—
979#525—431no—
980#525—431no—
981C2×C22⋊Q8—431no—
982C2×C22⋊Q8—861no—
983C2×#121—431no—
984C2×#121—861no—
985C4×#41—431no—
986C4×#41—861no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—431no—
992#489—431no—
993#489—431no—
994#489—431no—
995#489C2×D4311yescharacteristic, complemented
996#488—431no—
997#488—431no—
998#488—431no—
999#488—431no—
1000#485—431no—
1001#485—431no—
1002#485—431no—
1003#485C2×D4311yescharacteristic, complemented
1004#484—431no—
1005#484—431no—
1006#483—431no—
1007#483—431no—
1008#482—431no—
1009#482—431no—
1010#482—431no—
1011#482C2×D4311yescharacteristic, complemented
1012#481—431no—
1013#481—431no—
1014#480—431no—
1015#480—431no—
1016#479—431no—
1017#479—431no—
1018#479—431no—
1019#479—431no—
1020#477—431no—
1021#477C2×D4311yescharacteristic, complemented
1022#475—431no—
1023#475—431no—
1024#470—431no—
1025#470—431no—
1026#469—431no—
1027#469—431no—
1028#468—431no—
1029#468—431no—
1030#468—431no—
1031#468C2×D4311yescharacteristic, complemented
1032#467—431no—
1033#467C2×D4311yescharacteristic, complemented
1034#466—431no—
1035#466—431no—
1036#465—431no—
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#464—431no—
1041#464—431no—
1042#464—431no—
1043#464C2×D4311yescharacteristic, complemented
1044#463—431no—
1045#463—431no—
1046#463—431no—
1047#463—431no—
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452C2×D4311yescharacteristic, complemented
1052#451—431no—
1053#451—431no—
1054#451—431no—
1055#451C2×D4311yescharacteristic, complemented
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#448—431no—
1061#448—431no—
1062#448—431no—
1063#448—431no—
1064#441—431no—
1065#441C2×D4311yescharacteristic, complemented
1066#440—431no—
1067#440—431no—
1068C4×Q16—431no—
1069C4×Q16—431no—
1070C4×SD16—431no—
1071C4×SD16—431no—
1072#436—431no—
1073#436—431no—
1074#435—431no—
1075#435—431no—
1076#435—431no—
1077#435C2×D4311yescharacteristic, complemented
1078C8×D4—431no—
1079C8×D4—431no—
1080#428—431no—
1081#428—431no—
1082#428—431no—
1083#423—431no—
1084#419—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#419—431no—
1089#419—431no—
1090#419—431no—
1091#419—431no—
1092#419—431no—
1093#419C2×D4311yescharacteristic, complemented
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#416—431no—
1103#416—431no—
1104#416—431no—
1105#416C2×D4311yescharacteristic, complemented
1106C2×#103—431no—
1107C2×#103—431no—
1108C2×#103—431no—
1109C2×#103—431no—
1110#407—431no—
1111#407—431no—
1112C4×M16—431no—
1113C43#6115811yescharacteristic, complemented, Sylow
1114C2×#41—431no—
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—861no—
1119C2×#41—861no—
1120C2×#41—861no—
1121C2×#41—864no—
1122C2×#41—1722no—
1123C2×#41C22×D4311yescharacteristic
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—431no—
1127C22×Q8—431no—
1128C22×Q8—431no—
1129C22×Q8—861no—
1130C22×Q8—861no—
1131C22×Q8—861no—
1132C22×Q8—864no—
1133C22×Q8—1722no—
1134C22×Q8C22×D4311yescharacteristic
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—861no—
1138C22×D4—861no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143#137—864no—
1144#137—1722no—
1145AGL(1,ℤ/8)—1722no—
1146C2×Q16—431no—
1147C2×Q16—431no—
1148C2×Q16C22×D4311yescharacteristic
1149C2×Q16C22×D4311yescharacteristic
1150C2×SD16—431no—
1151C2×SD16—431no—
1152C2×SD16—431no—
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16C22×D4311yescharacteristic
1156C2×D8—431no—
1157C2×D8—431no—
1158C2×M16—431no—
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—431no—
1165C2×M16—1722no—
1166C2×M16—1722no—
1167C2×M16C22×D4311yescharacteristic
1168C22×C8—431no—
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8C22×D4311yescharacteristic
1172C4⋊Q8—431no—
1173C4⋊Q8C22×D4311yescharacteristic
1174#126—21no—
1175#126—21no—
1176#126—861no—
1177#126—861no—
1178#126—861no—
1179#126—861no—
1180#125—431no—
1181#125—431no—
1182#125—861no—
1183#125—861no—
1184#125—861no—
1185#124—21no—
1186#124—21no—
1187#124—431no—
1188#124—431no—
1189#124—431no—
1190#124—861no—
1191#124—861no—
1192#124—861no—
1193#124—861no—
1194#124—861no—
1195#124—861no—
1196#124—861no—
1197#124—861no—
1198#124—861no—
1199#124—861no—
1200#124—861no—
1201#124C22×D4311yescharacteristic
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210C22⋊Q8—21no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8C22×D4311yescharacteristic
1231C22⋊Q8C22×D4311yescharacteristic
1232C22⋊Q8C22×D4311yescharacteristic
1233#121—21no—
1234#121—431no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121—861no—
1252#121—861no—
1253#121C22×D4311yescharacteristic
1254#120—861no—
1255#120—861no—
1256C4×Q8—21no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—861no—
1262C4×Q8—861no—
1263C4×Q8—861no—
1264C4×Q8—861no—
1265C4×Q8C22×D4311yescharacteristic
1266C4×Q8C22×D4311yescharacteristic
1267C4×D4—21no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
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×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4C22×D4311yescharacteristic
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—431no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117C22×D4311yescharacteristic
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—431no—
1313C2×C4⋊C4—431no—
1314C2×C4⋊C4—431no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C22⋊C4—431no—
1318C2×C22⋊C4—431no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C22⋊C4—861no—
1322C2×C22⋊C4—861no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C42—431no—
1326C2×C42—861no—
1327C2×C42—861no—
1328C2×C42—861no—
1329C2×C42—861no—
1330#107—431no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107C22×D4311yescharacteristic
1335#107C22×D4311yescharacteristic
1336#106—431no—
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106—431no—
1341#106C22×D4311yescharacteristic
1342C4⋊C8—431no—
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8C22×D4311yescharacteristic
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103C22×D4311yescharacteristic
1366#103C22×D4311yescharacteristic
1367#103C22×D4311yescharacteristic
1368#103C22×D4311yescharacteristic
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102C22×D4311yescharacteristic
1384#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386C22⋊C8—431no—
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8C22×D4311yescharacteristic
1393C22⋊C8C22×D4311yescharacteristic
1394#97—431no—
1395#97C22×D4311yescharacteristic
1396C4×C8—431no—
1397C4×C8—431no—
1398C24—431no—
1399C24—431no—
1400C24—861no—
1401#41—22no—
1402#41—41no—
1403#41—862no—
1404#41—862no—
1405#41—862no—
1406#41—862no—
1407#41—862no—
1408#41—1721no—
1409#41—1724no—
1410#41—1721no—
1411#41—1724no—
1412#41—1721no—
1413#41—1724no—
1414C2×Q8—21no—
1415C2×Q8—21no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—434no—
1419C2×Q8—431no—
1420C2×Q8—431no—
1421C2×Q8—861no—
1422C2×Q8—861no—
1423C2×Q8—861no—
1424C2×Q8—861no—
1425C2×Q8—862no—
1426C2×Q8—862no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—861no—
1430C2×Q8—861no—
1431C2×Q8—862no—
1432C2×Q8—862no—
1433C2×Q8—1721no—
1434C2×Q8—1724no—
1435C2×Q8—1724no—
1436C2×Q8—1721no—
1437C2×Q8—1721no—
1438C2×Q8—1724no—
1439C2×Q8C23×D4311yescharacteristic
1440C2×Q8C23×D4311yescharacteristic
1441C2×Q8C23×D4311yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—431no—
1445C2×D4—431no—
1446C2×D4—431no—
1447C2×D4—431no—
1448C2×D4—431no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—862no—
1455C2×D4—862no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—1724no—
1464C2×D4—1722no—
1465C2×D4—1724no—
1466C2×D4D4×D4311yescharacteristic
1467C2×D4C23×D4311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—431no—
1479C22×C4—431no—
1480C22×C4—431no—
1481C22×C4—862no—
1482C22×C4—862no—
1483C22×C4—862no—
1484C22×C4—862no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—861no—
1490C22×C4—861no—
1491C22×C4—861no—
1492C22×C4—861no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—1724no—
1502C22×C4—1724no—
1503C22×C4C23×D4311yescharacteristic
1504C22×C4C23×D4311yescharacteristic
1505Q16—22no—
1506Q16—41no—
1507Q16—862no—
1508Q16—1721no—
1509SD16—41no—
1510SD16—862no—
1511SD16—862no—
1512SD16—1721no—
1513SD16—1721no—
1514SD16—1721no—
1515D8—1721no—
1516D8—1721no—
1517M16—41no—
1518M16—862no—
1519M16—862no—
1520M16—862no—
1521M16—862no—
1522M16—1721no—
1523M16—1721no—
1524M16—1721no—
1525C2×C8—41no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—431no—
1529C2×C8—431no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8—1721no—
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C2×C8C23×D4311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—431no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—431no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4D4×D4311yescharacteristic
1570C4⋊C4C23×D4311yescharacteristic
1571C4⋊C4C23×D4311yescharacteristic
1572C4⋊C4C23×D4311yescharacteristic
1573C4⋊C4C23×D4311yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—431no—
1583C22⋊C4—431no—
1584C22⋊C4—431no—
1585C22⋊C4—431no—
1586C22⋊C4—431no—
1587C22⋊C4—431no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4D4×D4311yescharacteristic
1614C22⋊C4D4×D4311yescharacteristic
1615C42—21no—
1616C42—21no—
1617C42—21no—
1618C42—21no—
1619C42—431no—
1620C42—431no—
1621C42—431no—
1622C42—861no—
1623C42—861no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42C23×D4311yescharacteristic
1632C23—21no—
1633C23—431no—
1634C23—431no—
1635C23—431no—
1636C23—862no—
1637C23—862no—
1638C23—862no—
1639C23—861no—
1640C23—861no—
1641C23—1721no—
1642C23—1721no—
1643C23—1721no—
1644C23—1722no—
1645C23—1722no—
1646C23—1722no—
1647C23C2×D4×D4311yescharacteristic
1648C23C2×D4×D4311yescharacteristic
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—21no—
1653Q8—21no—
1654Q8—42no—
1655Q8—42no—
1656Q8—432no—
1657Q8—864no—
1658Q8—861no—
1659Q8—861no—
1660Q8—861no—
1661Q8—3441no—
1662Q8—1722no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666Q8#41×D4312yes—
1667D4—21no—
1668D4—21no—
1669D4—41no—
1670D4—42no—
1671D4—42no—
1672D4—862no—
1673D4—862no—
1674D4—861no—
1675D4—861no—
1676D4—861no—
1677D4—861no—
1678D4—3441no—
1679D4—3441no—
1680D4—1722no—
1681D4—1722no—
1682D4—1722no—
1683D4—1722no—
1684D4—1722no—
1685D4—1722no—
1686D4—1721no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4—1722no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—431no—
1705C2×C4—432no—
1706C2×C4—432no—
1707C2×C4—431no—
1708C2×C4—431no—
1709C2×C4—431no—
1710C2×C4—431no—
1711C2×C4—862no—
1712C2×C4—862no—
1713C2×C4—862no—
1714C2×C4—862no—
1715C2×C4—864no—
1716C2×C4—862no—
1717C2×C4—862no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—3441no—
1729C2×C4—3441no—
1730C2×C4—3441no—
1731C2×C4—1721no—
1732C2×C4—1721no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4C2×D4×D4311yescharacteristic
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C24×D4311yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—861no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—432no—
1768C22—432no—
1769C22—861no—
1770C22—861no—
1771C22—861no—
1772C22—861no—
1773C22—861no—
1774C22—861no—
1775C22—861no—
1776C22—3442no—
1777C22—3444no—
1778C22—1724no—
1779C22—1721no—
1780C22—1721no—
1781C22—1721no—
1782C22—1721no—
1783C22—1721no—
1784C22—1721no—
1785C22C22×D4×D4311yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—432no—
1798C4—861no—
1799C4—861no—
1800C4—862no—
1801C4—861no—
1802C4—861no—
1803C4—1721no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4C2×#41×D4311yescharacteristic
1809C4H(5,𝔽2)×D4311yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—81no—
1813C2—862no—
1814C2—862no—
1815C2—3441no—
1816C2—3441no—
1817C2—1721no—
1818C2#546×D4311yescharacteristic
1819C2#575×D4311yescharacteristic
1820C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3313C2
socleC22×C43C23×D4
hypercenter#3313D43
hypocenterC43#61158
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #19148156C2semidirect
2. #548×D43C2semidirect
3. #19146869C2semidirect
4. #19146867C2semidirect
5. #19146846C2semidirect
6. #19146844C2semidirect
7. #19146783C2semidirect
8. #19146781C2semidirect
9. #19146713C2semidirect
10. #19146711C2semidirect
11. #19146655C2semidirect
12. #19146585C2semidirect
13. #19146583C2semidirect
14. #19146500C2semidirect
15. #19146498C2semidirect
16. #19146477C2semidirect
17. #19146475C2semidirect
18. #19144980C2semidirect
19. #19144542C2semidirect
20. #19144534C2semidirect
21. #19144401C2semidirect
22. #19144222C2semidirect
23. #19144209C2semidirect
24. #19144086C2semidirect
25. #19143838C2semidirect
26. #19143830C2semidirect
27. #19143411C2semidirect
28. #19143328C2semidirect
29. #19143110C2semidirect
30. #419×D43C2semidirect
31. C43×#3313C2semidirect
39. #14583614C22semidirect
40. #14583609C22semidirect
41. #14583593C22semidirect
42. #14583593C22semidirect
44. #14583583C22semidirect
45. #14583583C22semidirect
59. #14583552C22semidirect
80. #14583261C22semidirect
81. #14583259C22semidirect
82. #14583258C22semidirect
83. #14583255C22semidirect
84. #14583255C22semidirect
85. #14583252C22semidirect
86. #14583252C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
89. #14583237C22semidirect
90. #14583236C22semidirect
91. #14583233C22semidirect
92. #14583231C22semidirect
93. #14583228C22semidirect
94. #14583224C22semidirect
95. #14583223C22semidirect
96. #14583220C22semidirect
97. #14583219C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
100. #14583211C22semidirect
101. #14583205C22semidirect
102. #14583205C22semidirect
103. #14583204C22semidirect
104. #14583204C22semidirect
105. #14583191C22semidirect
106. #14583185C22semidirect
107. #14583184C22semidirect
108. #14583156C22semidirect
109. #14583154C22semidirect
110. #14583152C22semidirect
111. #14583150C22semidirect
112. #14583148C22semidirect
113. #14583147C22semidirect
114. #14583146C22semidirect
115. #14583138C22semidirect
116. #14583136C22semidirect
117. #14583134C22semidirect
118. #14583131C22semidirect
119. #14583130C22semidirect
120. #14583128C22semidirect
121. #14583125C22semidirect
122. #14583123C22semidirect
123. #14583121C22semidirect
124. #14583119C22semidirect
125. #14583117C22semidirect
126. #14583115C22semidirect
127. #14583113C22semidirect
128. #14583111C22semidirect
129. #14583060C22semidirect
130. #14583059C22semidirect
131. #14583058C22semidirect
132. #14583054C22semidirect
133. #14583053C22semidirect
134. #14583053C22semidirect
135. #14583047C22semidirect
136. #14583046C22semidirect
137. #14583045C22semidirect
138. #14583044C22semidirect
139. #14583040C22semidirect
140. #14583039C22semidirect
141. #14583039C22semidirect
142. #14583038C22semidirect
143. #14583004C22semidirect
144. #14583001C22semidirect
145. #14582997C22semidirect
146. Q16×Dic43C22semidirect
147. #14582991C22semidirect
148. #14582986C22semidirect
149. #14582984C22semidirect
150. #14582975C22semidirect
151. #14582974C22semidirect
152. #14582972C22semidirect
153. #14582971C22semidirect
154. #14582969C22semidirect
155. C8×C22⋊D43C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
161. #14582909C22semidirect
162. #14582908C22semidirect
163. #14582907C22semidirect
174. #14582899C22semidirect
175. #14582899C22semidirect
176. #14582897C22semidirect
177. #14582897C22semidirect
178. #14582896C22semidirect
179. #14582895C22semidirect
180. #14582893C22semidirect
181. #103×D43C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
188. C43×#556C22semidirect
190. C43×#489C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#477C22semidirect
194. C43×#468C22semidirect
195. C43×#467C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C43×#441C22semidirect
200. C43×#435C22semidirect
201. C43×#419C22semidirect
202. C43×#416C22semidirect
534. Q8×D43#41semidirect
911. #3313D43semidirect
949. #556C2×D43semidirect
995. #489C2×D43semidirect
1003. #485C2×D43semidirect
1011. #482C2×D43semidirect
1021. #477C2×D43semidirect
1031. #468C2×D43semidirect
1033. #467C2×D43semidirect
1043. #464C2×D43semidirect
1051. #452C2×D43semidirect
1055. #451C2×D43semidirect
1065. #441C2×D43semidirect
1077. #435C2×D43semidirect
1093. #419C2×D43semidirect
1105. #416C2×D43semidirect
1113. C43#61158semidirect

Maximal subgroups

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

subgroupindex
#191481562
#548×D432
#191468692
#191468672
#191468462
#191468442
#191467832
#191467812
#191467132
#191467112
#191466552
#191465852
#191465832
#191465002
#191464982
#191464772
#191464752
#191449802
#191445422
#191445342
#191444012
#191442222
#191442092
#191440862
#191438382
#191438302
#191434112
#191433282
#191431102
#419×D432
C43×#33132
#6115843