Finite Group Databasebeta

← #25975748

Subgroups — #25975748

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148329C211yesmaximal, characteristic, complemented
2#19148297C211yesmaximal, characteristic, complemented
3#19147188C211yesmaximal, characteristic, complemented
4#19147159C211yesmaximal, characteristic, complemented
5#19147157C211yesmaximal, characteristic, complemented
6#19147111C211yesmaximal, characteristic, complemented
7#19147110C211yesmaximal, characteristic, complemented
8#19147081C211yesmaximal, characteristic, complemented
9#19147077C211yesmaximal, characteristic, complemented
10#19147072C211yesmaximal, characteristic, complemented
11#19147065C211yesmaximal, characteristic, complemented
12#19147060C211yesmaximal, characteristic, complemented
13#19147060C211yesmaximal, characteristic, complemented
14#19146999C211yesmaximal, characteristic, complemented
15#19146990C211yesmaximal, characteristic, complemented
16#19146951C211yesmaximal, characteristic, complemented
17#19146950C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144552C211yesmaximal, characteristic, complemented
21#19144507C211yesmaximal, characteristic, complemented
22#481×D43C211yesmaximal, characteristic, complemented
23#19144452C211yesmaximal, characteristic, complemented
24#19144419C211yesmaximal, characteristic, complemented
25#19144272C211yesmaximal, characteristic, complemented
26#19144213C211yesmaximal, characteristic, complemented
27#19143420C211yesmaximal, characteristic, complemented
28#19143324C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3354C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583612C2211yescharacteristic
36#14583610C2211yescharacteristic, complemented
37#14583604C2211yescharacteristic, complemented
38#14583603—21no—
39#14583599C2211yescharacteristic
40#14583599C2211yescharacteristic, complemented
41#14583596C2211yescharacteristic
42#14583596C2211yescharacteristic, complemented
43#14583595C2211yescharacteristic
44#14583594—21no—
45#14583593C2211yescharacteristic
46#14583589C2211yescharacteristic, complemented
47#14583586—21no—
48#14583584C2211yescharacteristic, complemented
49#14583579—21no—
50#14583573—21no—
51#14583552C2211yescharacteristic
52#14583549C2211yescharacteristic
53#14583549C2211yescharacteristic, complemented
54#14583548—21no—
55#14583542—21no—
56#14583538—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583513—21no—
60#14583499—21no—
61#14583495—21no—
62#14583492—21no—
63#14583478C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583448—21no—
66#14583427—21no—
67#14583409C2211yescharacteristic
68#14583408C2211yescharacteristic
69#14583407—21no—
70#14583406—21no—
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583371C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic
100#14583219C2211yescharacteristic
101#14583219C2211yescharacteristic, complemented
102#14583218C2211yescharacteristic
103#14583217C2211yescharacteristic
104#14583216C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583216C2211yescharacteristic, complemented
107#14583216C2211yescharacteristic, complemented
108#14583215C2211yescharacteristic
109#14583215C2211yescharacteristic, complemented
110#14583212C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic, complemented
113#14583209C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583197C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583187C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583183C2211yescharacteristic, complemented
125#14583181C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583151C2211yescharacteristic, complemented
128#14583150C2211yescharacteristic
129#14583145C2211yescharacteristic
130#14583145C2211yescharacteristic, complemented
131#14583144C2211yescharacteristic, complemented
132#14583143C2211yescharacteristic
133#14583134C2211yescharacteristic
134#14583133C2211yescharacteristic, complemented
135#14583132C2211yescharacteristic
136#14583132C2211yescharacteristic, complemented
137#14583129C2211yescharacteristic
138#14583129C2211yescharacteristic, complemented
139#14583127C2211yescharacteristic
140#14583126C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582998C2211yescharacteristic, complemented
145#14582990C2211yescharacteristic, complemented
146C4×#10621873C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582974C2211yescharacteristic, complemented
149#14582971C2211yescharacteristic, complemented
150#14582969C2211yescharacteristic, complemented
151#14582968C2211yescharacteristic, complemented
152#14582968C2211yescharacteristic, complemented
153C8×D172C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic, complemented
161#14582939C2211yescharacteristic, complemented
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic, complemented
168#14582935C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic
170#107×D43C2211yescharacteristic, complemented
171#107×D43C2211yescharacteristic, complemented
172C2×#13063256C2211yescharacteristic, complemented
173#106×D43C2211yescharacteristic
174#106×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#547C2211yescharacteristic, complemented
190C43×#498C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic
198C43×#469C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212#13063349—24no—
213C2×#10621873C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216#13063333—24no—
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221M16×D43—24no—
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063321—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317C2311yescharacteristic
242#13063317C2311yescharacteristic
243#13063316—21no—
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063313—21no—
252#13063311—21no—
253#13063311—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310D411yescharacteristic
257#13063308—21no—
258#13063308—21no—
259#13063308—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307D411yescharacteristic
266#13063306—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063305C2311yescharacteristic
272#13063305C2311yescharacteristic
273#13063304—21no—
274#13063304C2311yescharacteristic
275#13063304C2311yescharacteristic
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303D411yescharacteristic
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302D411yescharacteristic
284#13063301—21no—
285#13063301—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298D411yescharacteristic
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297D411yescharacteristic
304#13063296—21no—
305#13063296—21no—
306#13063296—21no—
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293—21no—
314#13063293—21no—
315#13063293D411yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318#13063290—21no—
319#13063290C2311yescharacteristic
320C4×D172—21no—
321C4×D172—21no—
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43C2311yescharacteristic
326D4×Dic43C2311yescharacteristic
327#13063287—21no—
328#13063287—21no—
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063284C2311yescharacteristic
349#13063284C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063282—21no—
356#13063282—21no—
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2×D411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43C2×D411yescharacteristic
517#10621902—82no—
518#10621900—22no—
519#10621900—22no—
520#10621900—82no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—82no—
525#10621898—22no—
526#10621898—22no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172C2×D411yescharacteristic
530C2×D172C2×D411yescharacteristic
531C2×D172C2411yescharacteristic
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—82no—
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2×D411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×C4×D43C2411yescharacteristic
550C2×C4×D43C2411yescharacteristic
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86C2×D411yescharacteristic
554C2×Dic86C2411yescharacteristic
555D8×C43—22no—
556M16×C43—22no—
557M16×C43—22no—
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598#10621883—22no—
599#10621882—22no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673#10621873—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872#4114yescomplemented
677C8×D43—22no—
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—42no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43C22×D411yescharacteristic
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—81no—
697Q8×C43—81no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—41no—
703D4×C43—42no—
704D4×C43—81no—
705D4×C43—81no—
706D4×C43—81no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—42no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—22no—
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—41no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C2×Dic43—22no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756D172—22no—
757D172—22no—
758D172—21no—
759D172—21no—
760D172—42no—
761D172—81no—
762C4×D43—22no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—22no—
768C4×D43—42no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43C2×#4112yes—
780C4×D432−1+412yes—
781Dic86—22no—
782Dic86—21no—
783Dic86—21no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61272—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—44no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
820C2×D43#54712yes—
821C2×D43#57712yes—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43C2×2−1+411yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#54712yes—
846#3494—431no—
847#3492—431no—
848#3354—431no—
849#3354D4311yescharacteristic, complemented
850#3351—431no—
851#3351—431no—
852#3348—431no—
853#3348—431no—
854#3346—431no—
855#3346—431no—
856#3345—431no—
857#3345—431no—
858#3345—431no—
859#3345—431no—
860#3339—431no—
861#3339—431no—
862#3335—431no—
863#3335—431no—
864#3163—431no—
865#3099—431no—
866#3096—431no—
867#3091—431no—
868C2×#481—431no—
869#3084—431no—
870#3081—431no—
871#3062—431no—
872#3055—431no—
873#2946—431no—
874#2933—431no—
875#2912—431no—
876C2×#428—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43C2×#54711yescharacteristic
882C2×C43C2×#57711yescharacteristic
883C2×C43#358511yescharacteristic
884D43—22no—
885D43—22no—
886D43—41no—
887D43—81no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#131—431no—
890C22×M16—431no—
891#555—431no—
892#555C2×D4311yescharacteristic
893#554—431no—
894#554—431no—
895#554—861no—
896#553—431no—
897#553—431no—
898#553—431no—
899#553—431no—
900#553—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#552—431no—
905#552—861no—
906#551—861no—
907#551—861no—
908#547—431no—
909#547—431no—
910#547—431no—
911#547—861no—
912#547C2×D4311yescharacteristic, complemented
913#546—861no—
914#546—861no—
915#544—431no—
916#544—431no—
917#542—861no—
918#540—861no—
919#539—861no—
920#539—861no—
921#537—431no—
922#535—431no—
923#532—861no—
924#529—861no—
925#525—431no—
926#525—431no—
927#525—861no—
928#525—861no—
929C2×#121—431no—
930#520—431no—
931#520—431no—
932#520—431no—
933#518—431no—
934C2×#117—431no—
935C22×C4⋊C4—431no—
936#501—431no—
937#501—431no—
938#501—431no—
939#501—431no—
940#499—431no—
941#499—431no—
942#498—431no—
943#498C2×D4311yescharacteristic, complemented
944#485—431no—
945#485—431no—
946#485—431no—
947#485—431no—
948#484—431no—
949#483—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482C2×D4311yescharacteristic, complemented
959#482C2×D4311yescharacteristic, complemented
960#481—431no—
961#481—431no—
962#481—431no—
963#481—431no—
964#481—431no—
965#481—431no—
966#481—431no—
967#481—431no—
968#481—431no—
969#481—431no—
970#481—431no—
971#481C2×D4311yescharacteristic
972#481C2×D4311yescharacteristic, complemented
973#480—431no—
974#480—431no—
975#480—431no—
976#479—431no—
977#479—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478—431no—
984#476—431no—
985#476—431no—
986#476—431no—
987#476C2×D4311yescharacteristic, complemented
988#475—431no—
989#475—431no—
990#474—431no—
991#474C2×D4311yescharacteristic, complemented
992#469—431no—
993#469—431no—
994#469C2×D4311yescharacteristic
995#469C2×D4311yescharacteristic, complemented
996#468—431no—
997#468—431no—
998#468—431no—
999#468—431no—
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#466—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#442—431no—
1009#442—431no—
1010#440—431no—
1011#440—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×D8—431no—
1015C4×D8C2×D4311yescharacteristic, complemented
1016#436—431no—
1017#436C2×D4311yescharacteristic, complemented
1018#435—431no—
1019#435—431no—
1020#435—431no—
1021#435—431no—
1022C8×D4—431no—
1023C8×D4—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428C2×D4311yescharacteristic, complemented
1036#428C2×D4311yescharacteristic, complemented
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427—431no—
1041C2×#107—431no—
1042C2×#107—431no—
1043C2×#106—431no—
1044C2×#106—431no—
1045C2×#106—431no—
1046C2×#106—431no—
1047C2×#106—431no—
1048C2×#106—431no—
1049#424—431no—
1050#418—431no—
1051#417—431no—
1052#416—431no—
1053#416—431no—
1054C2×#102—431no—
1055C2×#102—431no—
1056#408—431no—
1057C2×C22⋊C8—431no—
1058#405—431no—
1059C43#6127211yescharacteristic, complemented, Sylow
1060C2×#41—21no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C2×#41—861no—
1065C2×#41—861no—
1066C22×D4—431no—
1067C22×D4—861no—
1068C23×C4—431no—
1069C23×C4—861no—
1070AGL(1,ℤ/8)—864no—
1071C2×SD16—431no—
1072C2×SD16—431no—
1073C2×D8—431no—
1074C2×D8C22×D4311yescharacteristic
1075#131—864no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—864no—
1081C2×M16C22×D4311yescharacteristic
1082C2×M16C22×D4311yescharacteristic
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8—431no—
1088C22×C8—431no—
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—861no—
1092C4⋊Q8—861no—
1093C4⋊Q8C22×D4311yescharacteristic
1094C4⋊Q8C22×D4311yescharacteristic
1095#127—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#124—21no—
1115#124—21no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—21no—
1120#123—21no—
1121#123—431no—
1122#123—431no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—21no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157#121—21no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121C22×D4311yescharacteristic
1181#121C22×D4311yescharacteristic
1182#121C22×D4311yescharacteristic
1183#121C22×D4311yescharacteristic
1184#120—431no—
1185#120—431no—
1186#120—861no—
1187#120—861no—
1188#120—861no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223#117—21no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117C22×D4311yescharacteristic
1239#117C22×D4311yescharacteristic
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C42—861no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106C22×D4311yescharacteristic
1293#106C22×D4311yescharacteristic
1294#106C22×D4311yescharacteristic
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8C22×D4311yescharacteristic
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—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#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8C22×D4311yescharacteristic
1333C22⋊C8C22×D4311yescharacteristic
1334#97—431no—
1335#97—431no—
1336C4×C8—431no—
1337C4×C8C22×D4311yescharacteristic
1338C24—431no—
1339C24—861no—
1340#41—82no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—862no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—862no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—3442no—
1378C2×D4D4×D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—862no—
1392C22×C4—862no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—3442no—
1410C22×C4C23×D4311yescharacteristic
1411C22×C4C23×D4311yescharacteristic
1412SD16—862no—
1413SD16—862no—
1414D8—22no—
1415D8—862no—
1416M16—22no—
1417M16—22no—
1418M16—434no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422C2×C8—431no—
1423C2×C8—431no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—862no—
1427C2×C8—862no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8—862no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
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⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4D4×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
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—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C23×D4311yescharacteristic
1539C23—21no—
1540C23—21no—
1541C23—431no—
1542C23—431no—
1543C23—431no—
1544C23—862no—
1545C23—862no—
1546C23—861no—
1547C23—3441no—
1548C23—3441no—
1549C23—1721no—
1550C23—1722no—
1551C23C2×D4×D4311yescharacteristic
1552C23C2×D4×D4311yescharacteristic
1553Q8—81no—
1554Q8—81no—
1555Q8—862no—
1556Q8—861no—
1557Q8—861no—
1558Q8—3441no—
1559Q8—3441no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—862no—
1570D4—862no—
1571D4—862no—
1572D4—862no—
1573D4—862no—
1574D4—861no—
1575D4—861no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—1722no—
1582D4—1722no—
1583D4—1721no—
1584D4—1722no—
1585D4—1722no—
1586D4—1722no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—42no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—431no—
1602C2×C4—432no—
1603C2×C4—432no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—862no—
1609C2×C4—862no—
1610C2×C4—862no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—432no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—432no—
1664C22—432no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—861no—
1672C22—1724no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—6882no—
1677C22C22×D4×D4311yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—432no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C4C2×#41×D4311yescharacteristic
1701C42−1+4×D4311yescharacteristic
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—81no—
1706C2—862no—
1707C2—862no—
1708C2—3441no—
1709C2—1721no—
1710C2#547×D4311yescharacteristic
1711C2#577×D4311yescharacteristic
1712C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3354C2
socleC22×C43C23×D4
hypercenter#3354D43
hypocenterC43#61272
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3354

Complements

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

NH ≅ G/Ntype
1. #19148329C2semidirect
2. #19148297C2semidirect
3. #19147188C2semidirect
4. #19147159C2semidirect
5. #19147157C2semidirect
6. #19147111C2semidirect
7. #19147110C2semidirect
8. #19147081C2semidirect
9. #19147077C2semidirect
10. #19147072C2semidirect
11. #19147065C2semidirect
12. #19147060C2semidirect
13. #19147060C2semidirect
14. #19146999C2semidirect
15. #19146990C2semidirect
16. #19146951C2semidirect
17. #19146950C2semidirect
18. #19145120C2semidirect
19. #19144587C2semidirect
20. #19144552C2semidirect
21. #19144507C2semidirect
22. #481×D43C2semidirect
23. #19144452C2semidirect
24. #19144419C2semidirect
25. #19144272C2semidirect
26. #19144213C2semidirect
27. #19143420C2semidirect
28. #19143324C2semidirect
29. #19143189C2semidirect
30. #428×D43C2semidirect
31. C43×#3354C2semidirect
36. #14583610C22semidirect
37. #14583604C22semidirect
40. #14583599C22semidirect
42. #14583596C22semidirect
46. #14583589C22semidirect
48. #14583584C22semidirect
53. #14583549C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
85. #14583242C22semidirect
86. #14583241C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583231C22semidirect
91. #14583231C22semidirect
92. #14583230C22semidirect
93. #14583225C22semidirect
94. #14583224C22semidirect
95. #14583222C22semidirect
96. #14583222C22semidirect
97. #14583220C22semidirect
98. #14583220C22semidirect
101. #14583219C22semidirect
106. #14583216C22semidirect
107. #14583216C22semidirect
109. #14583215C22semidirect
110. #14583212C22semidirect
111. #14583211C22semidirect
112. #14583211C22semidirect
113. #14583209C22semidirect
114. #14583207C22semidirect
115. #14583202C22semidirect
116. #14583200C22semidirect
117. #14583199C22semidirect
118. #14583199C22semidirect
119. #14583197C22semidirect
120. #14583197C22semidirect
121. #14583187C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583183C22semidirect
125. #14583181C22semidirect
126. #14583178C22semidirect
127. #14583151C22semidirect
130. #14583145C22semidirect
131. #14583144C22semidirect
134. #14583133C22semidirect
136. #14583132C22semidirect
138. #14583129C22semidirect
140. #14583126C22semidirect
141. #14583011C22semidirect
142. #14583009C22semidirect
143. #14582999C22semidirect
144. #14582998C22semidirect
145. #14582990C22semidirect
146. C4×#10621873C22semidirect
147. #14582979C22semidirect
148. #14582974C22semidirect
149. #14582971C22semidirect
150. #14582969C22semidirect
151. #14582968C22semidirect
152. #14582968C22semidirect
153. C8×D172C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
157. #14582941C22semidirect
160. #14582940C22semidirect
161. #14582939C22semidirect
165. #14582938C22semidirect
167. #14582936C22semidirect
168. #14582935C22semidirect
170. #107×D43C22semidirect
171. #107×D43C22semidirect
172. C2×#13063256C22semidirect
175. #106×D43C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
189. C43×#547C22semidirect
190. C43×#498C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
194. C43×#481C22semidirect
195. C43×#476C22semidirect
196. C43×#474C22semidirect
198. C43×#469C22semidirect
199. C4×D8×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
676. #10621872#41semidirect
849. #3354D43semidirect
912. #547C2×D43semidirect
943. #498C2×D43semidirect
958. #482C2×D43semidirect
959. #482C2×D43semidirect
972. #481C2×D43semidirect
987. #476C2×D43semidirect
991. #474C2×D43semidirect
995. #469C2×D43semidirect
1015. C4×D8C2×D43semidirect
1017. #436C2×D43semidirect
1035. #428C2×D43semidirect
1036. #428C2×D43semidirect
1059. C43#61272semidirect

Maximal subgroups

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

subgroupindex
#191483292
#191482972
#191471882
#191471592
#191471572
#191471112
#191471102
#191470812
#191470772
#191470722
#191470652
#191470602
#191469992
#191469902
#191469512
#191469502
#191451202
#191445872
#191445522
#191445072
#481×D432
#191444522
#191444192
#191442722
#191442132
#191434202
#191433242
#191431892
#428×D432
C43×#33542
#6127243