Finite Group Databasebeta

← #25975706

Subgroups — #25975706

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#19148299C211yesmaximal, characteristic, complemented
3#19147217C211yesmaximal, characteristic, complemented
4#19147215C211yesmaximal, characteristic, complemented
5#19147196C211yesmaximal, characteristic, complemented
6#19147195C211yesmaximal, characteristic, complemented
7#19147088C211yesmaximal, characteristic, complemented
8#19147083C211yesmaximal, characteristic, complemented
9#19147082C211yesmaximal, characteristic, complemented
10#19147070C211yesmaximal, characteristic, complemented
11#19147068C211yesmaximal, characteristic, complemented
12#19147034C211yesmaximal, characteristic, complemented
13#19147028C211yesmaximal, characteristic, complemented
14#19146981C211yesmaximal, characteristic, complemented
15#19146975C211yesmaximal, characteristic, complemented
16#19146941C211yesmaximal, characteristic, complemented
17#19146939C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144548C211yesmaximal, characteristic, complemented
21#19144507C211yesmaximal, characteristic, complemented
22#480×D43C211yesmaximal, characteristic, complemented
23#19144441C211yesmaximal, characteristic, complemented
24#19144423C211yesmaximal, characteristic, complemented
25#19144274C211yesmaximal, characteristic, complemented
26#19144213C211yesmaximal, characteristic, complemented
27#19143424C211yesmaximal, characteristic, complemented
28#19143318C211yesmaximal, characteristic, complemented
29#19143192C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583612C2211yescharacteristic
36#14583608—21no—
37#14583606C2211yescharacteristic, complemented
38#14583604C2211yescharacteristic, complemented
39#14583601C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583596C2211yescharacteristic
42#14583595C2211yescharacteristic
43#14583593C2211yescharacteristic
44#14583592—21no—
45#14583588C2211yescharacteristic, complemented
46#14583587C2211yescharacteristic, complemented
47#14583585—21no—
48#14583579—21no—
49#14583573—21no—
50#14583554C2211yescharacteristic, complemented
51#14583552C2211yescharacteristic
52#14583549C2211yescharacteristic
53#14583549C2211yescharacteristic, complemented
54#14583547—21no—
55#14583542—21no—
56#14583538—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583513—21no—
60#14583499—21no—
61#14583492—21no—
62#14583490—21no—
63#14583478C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583448—21no—
66#14583427—21no—
67#14583409—21no—
68#14583409C2211yescharacteristic
69#14583408—21no—
70#14583408C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583371C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583218C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic, complemented
101#14583214C2211yescharacteristic
102#14583214C2211yescharacteristic
103#14583214C2211yescharacteristic, complemented
104#14583213C2211yescharacteristic
105#14583212C2211yescharacteristic
106#14583211C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583211C2211yescharacteristic, complemented
109#14583211C2211yescharacteristic, complemented
110#14583210C2211yescharacteristic
111#14583210C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583207C2211yescharacteristic, complemented
114#14583205C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic, complemented
116#14583201C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583197C2211yescharacteristic, complemented
119#14583196C2211yescharacteristic, complemented
120#14583193C2211yescharacteristic, complemented
121#14583191C2211yescharacteristic, complemented
122#14583189C2211yescharacteristic, complemented
123#14583188C2211yescharacteristic, complemented
124#14583180C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583150C2211yescharacteristic
128#14583150C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic, complemented
130#14583146C2211yescharacteristic, complemented
131#14583145C2211yescharacteristic
132#14583143C2211yescharacteristic
133#14583143C2211yescharacteristic, complemented
134#14583134C2211yescharacteristic
135#14583134C2211yescharacteristic, complemented
136#14583132C2211yescharacteristic
137#14583129C2211yescharacteristic
138#14583128C2211yescharacteristic, complemented
139#14583127C2211yescharacteristic
140#14583127C2211yescharacteristic, complemented
141#14583008C2211yescharacteristic, complemented
142#14583001C2211yescharacteristic, complemented
143#14582996C2211yescharacteristic, complemented
144#14582986C2211yescharacteristic, complemented
145C4×#10621883C2211yescharacteristic, complemented
146D8×Dic43C2211yescharacteristic, complemented
147C4×#10621882C2211yescharacteristic, complemented
148#14582977C2211yescharacteristic, complemented
149#14582975C2211yescharacteristic, complemented
150#14582973C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic, complemented
152#14582972C2211yescharacteristic, complemented
153#14582964C2211yescharacteristic, complemented
154C8×C22⋊D43C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582942C2211yescharacteristic, complemented
158#14582941C2211yescharacteristic, complemented
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582939C2211yescharacteristic, complemented
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic
168#14582936C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic
170C2×#13063259C2211yescharacteristic, complemented
171#107×D43C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic, complemented
175#107×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#14582856C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43C2311yescharacteristic
213#13063349—24no—
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063331—24no—
218C2×#10621877C2311yescharacteristic
219C2×#10621877C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223M16×D43—24no—
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
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#13063310—21no—
257#13063310D411yescharacteristic
258#13063309—21no—
259#13063308—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307D411yescharacteristic
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304—21no—
276#13063304—21no—
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303D411yescharacteristic
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302D411yescharacteristic
289#13063301—21no—
290#13063301—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298D411yescharacteristic
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063295D411yescharacteristic
314#13063293—21no—
315#13063293—21no—
316#13063293D411yescharacteristic
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320#13063290C2311yescharacteristic
321C4×D172—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331#13063287C2311yescharacteristic
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338(C22⋊D43)⋊C4—21no—
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#13063284C2311yescharacteristic
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360C2×C4⋊Dic43C2311yescharacteristic
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#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×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
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43C2×D411yescharacteristic
515#10621902—82no—
516#10621900—22no—
517#10621900—22no—
518#10621900—82no—
519#10621900—82no—
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—82no—
523#10621898—22no—
524#10621898—22no—
525#10621898—82no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172C2×D411yescharacteristic
529C2×D172C2×D411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—21no—
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—82no—
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×C4×D43C2411yescharacteristic
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86C2×D411yescharacteristic
554C2×Dic86C2411yescharacteristic
555D8×C43—22no—
556M16×C43—22no—
557C2×C8×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×C43—21no—
582C22⋊C4×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43C2411yescharacteristic
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⋊Dic43—21no—
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621883—22no—
600#10621882—22no—
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)⋊C4—21no—
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
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
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—
668#10621877—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—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—41no—
702D4×C43—42no—
703D4×C43—81no—
704D4×C43—81no—
705D4×C43—81no—
706C2×C4×C43—21no—
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—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—41no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C2×Dic43—22no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—42no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—22no—
756D172—22no—
757D172—21no—
758D172—21no—
759D172—42no—
760D172—81no—
761C4×D43—22no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—22no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
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×D43C2×#4112yes—
779C4×D432−1+412yes—
780Dic86—22no—
781Dic86—21no—
782Dic86—21no—
783Dic86—81no—
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#61270—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#57612yes—
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#3357—431no—
849#3357—431no—
850#3355—431no—
851#3355—431no—
852#3347—431no—
853#3347D4311yescharacteristic, complemented
854#3346—431no—
855#3346—431no—
856#3345—431no—
857#3345—431no—
858#3343—431no—
859#3343—431no—
860#3337—431no—
861#3337—431no—
862#3334—431no—
863#3334—431no—
864#3164—431no—
865#3098—431no—
866#3096—431no—
867#3091—431no—
868C2×#480—431no—
869#3083—431no—
870#3081—431no—
871#3062—431no—
872#3055—431no—
873#2946—431no—
874#2933—431no—
875#2913—431no—
876C2×#428—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43C2×#54711yescharacteristic
882C2×C43C2×#57611yescharacteristic
883C2×C43#358611yescharacteristic
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—861no—
902#553C2×D4311yescharacteristic, complemented
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—431no—
912#547—861no—
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#501C2×D4311yescharacteristic, complemented
940#500—431no—
941#500—431no—
942#499—431no—
943#499—431no—
944#485—431no—
945#485—431no—
946#485—431no—
947#485—431no—
948#484—431no—
949#484—431no—
950#484—431no—
951#483—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482C2×D4311yescharacteristic, complemented
958#482C2×D4311yescharacteristic, complemented
959#482C2×D4311yescharacteristic, complemented
960#481—431no—
961#481—431no—
962#481—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480—431no—
975#480C2×D4311yescharacteristic
976#479—431no—
977#479—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478C2×D4311yescharacteristic, complemented
984#477—431no—
985#477—431no—
986#476—431no—
987#476—431no—
988#474—431no—
989#474—431no—
990#474—431no—
991#474C2×D4311yescharacteristic, complemented
992#469—431no—
993#469—431no—
994#469—431no—
995#469C2×D4311yescharacteristic
996#468—431no—
997#468—431no—
998#468—431no—
999#468—431no—
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#466C2×D4311yescharacteristic, complemented
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#442—431no—
1009#442C2×D4311yescharacteristic, complemented
1010#440—431no—
1011#440—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×D8—431no—
1015C4×D8—431no—
1016#436—431no—
1017#436—431no—
1018#435—431no—
1019#435—431no—
1020#435—431no—
1021#435C2×D4311yescharacteristic, complemented
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#428—431no—
1036#428C2×D4311yescharacteristic, complemented
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427C2×D4311yescharacteristic, complemented
1041C2×#107—431no—
1042C2×#107—431no—
1043C2×#107—431no—
1044C2×#107—431no—
1045C2×#107—431no—
1046C2×#107—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#6127011yescharacteristic, complemented, Sylow
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
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—431no—
1081C2×M16—864no—
1082C2×M16C22×D4311yescharacteristic
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8—431no—
1088C22×C8C22×D4311yescharacteristic
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—861no—
1093C4⋊Q8—861no—
1094C4⋊Q8C22×D4311yescharacteristic
1095#127—861no—
1096#126—21no—
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—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125C22×D4311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—21no—
1120#123—431no—
1121#123—431no—
1122#123—861no—
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—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—861no—
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—21no—
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—431no—
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—21no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
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—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117C22×D4311yescharacteristic
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—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
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#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107—431no—
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#107C22×D4311yescharacteristic
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#106—431no—
1293#106—431no—
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#97C22×D4311yescharacteristic
1336C4×C8—431no—
1337C4×C8—431no—
1338C24—431no—
1339C24—861no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
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—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—862no—
1391C22×C4—862no—
1392C22×C4—861no—
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—434no—
1418M16—862no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422C2×C8—22no—
1423C2×C8—431no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
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—21no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
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—21no—
1529C42—431no—
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—862no—
1555Q8—861no—
1556Q8—861no—
1557Q8—3441no—
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—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—431no—
1601C2×C4—432no—
1602C2×C4—432no—
1603C2×C4—431no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—862no—
1608C2×C4—862no—
1609C2×C4—862no—
1610C2×C4—861no—
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—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
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#576×D4311yescharacteristic
1712C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61270
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148329C2semidirect
2. #19148299C2semidirect
3. #19147217C2semidirect
4. #19147215C2semidirect
5. #19147196C2semidirect
6. #19147195C2semidirect
7. #19147088C2semidirect
8. #19147083C2semidirect
9. #19147082C2semidirect
10. #19147070C2semidirect
11. #19147068C2semidirect
12. #19147034C2semidirect
13. #19147028C2semidirect
14. #19146981C2semidirect
15. #19146975C2semidirect
16. #19146941C2semidirect
17. #19146939C2semidirect
18. #19145130C2semidirect
19. #19144570C2semidirect
20. #19144548C2semidirect
21. #19144507C2semidirect
22. #480×D43C2semidirect
23. #19144441C2semidirect
24. #19144423C2semidirect
25. #19144274C2semidirect
26. #19144213C2semidirect
27. #19143424C2semidirect
28. #19143318C2semidirect
29. #19143192C2semidirect
30. #428×D43C2semidirect
31. C43×#3347C2semidirect
37. #14583606C22semidirect
38. #14583604C22semidirect
39. #14583601C22semidirect
45. #14583588C22semidirect
46. #14583587C22semidirect
50. #14583554C22semidirect
53. #14583549C22semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583299C22semidirect
84. #14583298C22semidirect
85. #14583243C22semidirect
86. #14583241C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583236C22semidirect
91. #14583235C22semidirect
92. #14583231C22semidirect
93. #14583225C22semidirect
94. #14583223C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583218C22semidirect
99. #14583216C22semidirect
100. #14583216C22semidirect
103. #14583214C22semidirect
108. #14583211C22semidirect
109. #14583211C22semidirect
111. #14583210C22semidirect
112. #14583210C22semidirect
113. #14583207C22semidirect
114. #14583205C22semidirect
115. #14583202C22semidirect
116. #14583201C22semidirect
117. #14583199C22semidirect
118. #14583197C22semidirect
119. #14583196C22semidirect
120. #14583193C22semidirect
121. #14583191C22semidirect
122. #14583189C22semidirect
123. #14583188C22semidirect
124. #14583180C22semidirect
125. #14583177C22semidirect
126. #14583177C22semidirect
128. #14583150C22semidirect
129. #14583149C22semidirect
130. #14583146C22semidirect
133. #14583143C22semidirect
135. #14583134C22semidirect
138. #14583128C22semidirect
140. #14583127C22semidirect
141. #14583008C22semidirect
142. #14583001C22semidirect
143. #14582996C22semidirect
144. #14582986C22semidirect
145. C4×#10621883C22semidirect
146. D8×Dic43C22semidirect
147. C4×#10621882C22semidirect
148. #14582977C22semidirect
149. #14582975C22semidirect
150. #14582973C22semidirect
151. #14582973C22semidirect
152. #14582972C22semidirect
153. #14582964C22semidirect
154. C8×C22⋊D43C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
157. #14582942C22semidirect
158. #14582941C22semidirect
161. #14582939C22semidirect
165. #14582938C22semidirect
166. #14582938C22semidirect
168. #14582936C22semidirect
170. C2×#13063259C22semidirect
173. #107×D43C22semidirect
174. #107×D43C22semidirect
175. #107×D43C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
189. C43×#553C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
198. C43×#466C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
676. #10621872#41semidirect
853. #3347D43semidirect
902. #553C2×D43semidirect
939. #501C2×D43semidirect
957. #482C2×D43semidirect
958. #482C2×D43semidirect
959. #482C2×D43semidirect
983. #478C2×D43semidirect
991. #474C2×D43semidirect
1003. #466C2×D43semidirect
1009. #442C2×D43semidirect
1021. #435C2×D43semidirect
1036. #428C2×D43semidirect
1040. #427C2×D43semidirect
1059. C43#61270semidirect

Maximal subgroups

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

subgroupindex
#191483292
#191482992
#191472172
#191472152
#191471962
#191471952
#191470882
#191470832
#191470822
#191470702
#191470682
#191470342
#191470282
#191469812
#191469752
#191469412
#191469392
#191451302
#191445702
#191445482
#191445072
#480×D432
#191444412
#191444232
#191442742
#191442132
#191434242
#191433182
#191431922
#428×D432
C43×#33472
#6127043