Finite Group Databasebeta

← #25975657

Subgroups — #25975657

Order 11008.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148329C211yesmaximal, characteristic, complemented
2#19148319C211yesmaximal, characteristic, complemented
3#19147202C211yesmaximal, characteristic, complemented
4#19147200C211yesmaximal, characteristic, complemented
5#19147197C211yesmaximal, characteristic, complemented
6#19147196C211yesmaximal, characteristic, complemented
7#19147189C211yesmaximal, characteristic, complemented
8#19147186C211yesmaximal, characteristic, complemented
9#19147185C211yesmaximal, characteristic, complemented
10#19147102C211yesmaximal, characteristic, complemented
11#19147095C211yesmaximal, characteristic, complemented
12#19147093C211yesmaximal, characteristic, complemented
13#19147088C211yesmaximal, characteristic, complemented
14#19147072C211yesmaximal, characteristic, complemented
15#19147065C211yesmaximal, characteristic, complemented
16#19147063C211yesmaximal, characteristic, complemented
17#19147058C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144552C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144534C211yesmaximal, characteristic, complemented
22#19144532C211yesmaximal, characteristic, complemented
23#19144421C211yesmaximal, characteristic, complemented
24#19144419C211yesmaximal, characteristic, complemented
25#19144241C211yesmaximal, characteristic, complemented
26#469×D43C211yesmaximal, characteristic, complemented
27#19143442C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3354C211yesmaximal, characteristic, complemented
32C2×D8×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583615C2211yescharacteristic, complemented
36#14583613C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic, complemented
38#14583601C2211yescharacteristic, complemented
39#14583599C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic, complemented
41#14583597C2211yescharacteristic, complemented
42#14583596C2211yescharacteristic, complemented
43#14583595C2211yescharacteristic, complemented
44#14583595C2211yescharacteristic, complemented
45#14583593C2211yescharacteristic, complemented
46#14583579—21no—
47#14583577—21no—
48#14583576—21no—
49#14583573—21no—
50#14583552C2211yescharacteristic, complemented
51#14583550C2211yescharacteristic, complemented
52#14583549C2211yescharacteristic, complemented
53#14583542—21no—
54#14583541—21no—
55#14583538—21no—
56#14583537—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583513—21no—
61#14583501—21no—
62#14583499—21no—
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583448—21no—
66#14583445—21no—
67#14583427—21no—
68#14583426—21no—
69#14583408C2211yescharacteristic
70#121×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583226C2211yescharacteristic, complemented
86#14583225C2211yescharacteristic, complemented
87#14583225C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic, complemented
89#14583224C2211yescharacteristic, complemented
90#14583224C2211yescharacteristic, complemented
91#14583223C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic, complemented
101#14583219C2211yescharacteristic, complemented
102#14583217C2211yescharacteristic, complemented
103#14583216C2211yescharacteristic, complemented
104#14583215C2211yescharacteristic, complemented
105#14583214C2211yescharacteristic, complemented
106#14583213C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic, complemented
108#14583212C2211yescharacteristic, complemented
109#14583211C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583202C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic, complemented
115#14583200C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic
128#14583153C2211yescharacteristic, complemented
129#14583152C2211yescharacteristic
130#14583152C2211yescharacteristic, complemented
131#14583151C2211yescharacteristic
132#14583151C2211yescharacteristic
133#14583150C2211yescharacteristic
134#14583150C2211yescharacteristic
135#14583149C2211yescharacteristic
136#14583149C2211yescharacteristic, complemented
137#14583134C2211yescharacteristic, complemented
138#14583134C2211yescharacteristic, complemented
139#14583133C2211yescharacteristic, complemented
140#14583133C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145C4×D344C2211yescharacteristic, complemented
146D8×Dic43C2211yescharacteristic, complemented
147#14582981C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic, complemented
149#14582975C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic, complemented
152#14582971C2211yescharacteristic, complemented
153#14582969C2211yescharacteristic, complemented
154#14582967C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic, complemented
160#14582940C2211yescharacteristic, complemented
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic, complemented
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic, complemented
167#14582938C2211yescharacteristic, complemented
168#14582938C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic, complemented
172#14582935C2211yescharacteristic, complemented
173#14582934C2211yescharacteristic
174#14582934C2211yescharacteristic
175C2×#13063256C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#555C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic, complemented
190C43×#498C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic, complemented
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×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215D8×D43—24no—
216#13063333—24no—
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223M16×D43—24no—
224C22×C43⋊C8C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063321—21no—
233#13063321—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063314—21no—
249#13063314—21no—
250#13063313—21no—
251#13063312—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310D411yescharacteristic
261#13063309—21no—
262#13063308—21no—
263#13063308—21no—
264#13063308—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307D411yescharacteristic
270#13063306—21no—
271#13063306—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303D411yescharacteristic
276#13063302—21no—
277#13063302D411yescharacteristic
278#13063301—21no—
279#13063301—21no—
280#13063301—21no—
281#13063300—21no—
282#13063300C2311yescharacteristic
283#13063300C2311yescharacteristic
284#13063300C2311yescharacteristic
285#13063300C2311yescharacteristic
286#13063299—21no—
287#13063299C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063299C2311yescharacteristic
291#13063298—21no—
292#13063298—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298D411yescharacteristic
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297D411yescharacteristic
305#13063296—21no—
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293—21no—
314#13063293—21no—
315#13063293D411yescharacteristic
316C4×Dic86—21no—
317#13063290—21no—
318C4×D172—21no—
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322C4×D172C2311yescharacteristic
323D4×Dic43—21no—
324D4×Dic43C2311yescharacteristic
325D4×Dic43C2311yescharacteristic
326#13063287—21no—
327#13063287C2311yescharacteristic
328#13063287C2311yescharacteristic
329C4×C22⋊D43—21no—
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⋊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#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C4⋊C4×D43C2311yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
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#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
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×D43—21no—
483C23×D43C2×D411yescharacteristic
484#41×C43—82no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2×D411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C2×C22⋊D43C2×D411yescharacteristic
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43C2×D411yescharacteristic
519#10621902—82no—
520#10621900—82no—
521D4×D43—22no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—22no—
525D4×D43—82no—
526D4×D43—82no—
527#10621898—22no—
528#10621898—22no—
529#10621898—82no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172C2×D411yescharacteristic
535C2×D172C2×D411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43C2×D411yescharacteristic
551C2×C4×D43C2×D411yescharacteristic
552C2×C4×D43C2411yescharacteristic
553C2×C4×D43C2411yescharacteristic
554C2×C4×D43C2411yescharacteristic
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86C2×D411yescharacteristic
558D8×C43—22no—
559M16×C43—22no—
560M16×C43—22no—
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43C2×D411yescharacteristic
585C22⋊C4×C43C2×D411yescharacteristic
586C42×C43—21no—
587C42×C43—21no—
588C42×C43C2411yescharacteristic
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#10621882—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)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
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
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872—22no—
678#10621872—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43#4114yescomplemented
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—22no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—41no—
691C22×D43—42no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699C22×D43C22×D411yescharacteristic
700Q8×C43—81no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—41no—
707D4×C43—42no—
708D4×C43—81no—
709D4×C43—81no—
710D4×C43—81no—
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—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—22no—
731C22⋊D43—22no—
732C22⋊D43—41no—
733C22⋊D43—41no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—22no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760D172—22no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—41no—
766D172—42no—
767D172—81no—
768D172—81no—
769D172—81no—
770C4×D43—22no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—21no—
774C4×D43—21no—
775C4×D43—22no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43C2×#4112yes—
787C4×D432−1+412yes—
788Dic86—22no—
789Dic86—81no—
790Dic86—81no—
791C8×C43—21no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43C2×#4112yes—
795C43⋊C8—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8C2×#4112yes—
799#61267—431nomaximal, Sylow
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C23×D411yescharacteristic
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—82no—
828C2×D43—162no—
829C2×D43—162no—
830C2×D43#54712yes—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—21no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43C22×#4111yescharacteristic
842C4×C43C2×2−1+411yescharacteristic
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43—41no—
853Dic43#54712yes—
854#3494—431no—
855#3494—431no—
856#3355—431no—
857#3355—431no—
858#3355—431no—
859#3355—431no—
860#3354—431no—
861#3354—431no—
862#3354—431no—
863#3354D4311yescharacteristic, complemented
864#3347—431no—
865#3347—431no—
866#3347—431no—
867#3347—431no—
868#3345—431no—
869#3345—431no—
870#3345—431no—
871#3345—431no—
872#3163—431no—
873#3096—431no—
874#3096—431no—
875#3094—431no—
876#3094—431no—
877#3081—431no—
878#3081—431no—
879#3058—431no—
880C2×#469—431no—
881#2948—431no—
882#2930—431no—
883#2912—431no—
884#2911—431no—
885C2×C43—41no—
886C2×C43—41no—
887C2×C43—81no—
888C2×C43—81no—
889C2×C43C2×#54711yescharacteristic
890C2×C43#358511yescharacteristic
891C2×C43#358511yescharacteristic
892D43—22no—
893D43—41no—
894D43—41no—
895D43—81no—
896D43—81no—
897C22×D8—431no—
898C2×#131—431no—
899C22×M16—431no—
900#555—431no—
901#555—431no—
902#555—431no—
903#555C2×D4311yescharacteristic, complemented
904#553—431no—
905#553—431no—
906#553—431no—
907#553—431no—
908#553—431no—
909#553—431no—
910#553—431no—
911#553—431no—
912#551—861no—
913#551—861no—
914#551—861no—
915#551—861no—
916#547—431no—
917#547—431no—
918#547—431no—
919#547C2×D4311yescharacteristic, complemented
920#546—861no—
921#546—861no—
922#546—861no—
923#546—861no—
924#544—431no—
925#544—431no—
926#542—861no—
927#542—861no—
928#540—861no—
929#540—861no—
930#535—431no—
931#535—431no—
932#532—861no—
933#532—861no—
934#529—861no—
935#529—861no—
936#525—431no—
937C2×#121—431no—
938C2×#121—431no—
939#520—431no—
940#520—431no—
941#518—431no—
942#518—431no—
943C2×#117—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501—431no—
949#499—431no—
950#499—431no—
951#498—431no—
952#498C2×D4311yescharacteristic, complemented
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#482—431no—
967#482C2×D4311yescharacteristic, complemented
968#482C2×D4311yescharacteristic, complemented
969#481—431no—
970#481—431no—
971#481—431no—
972#481—431no—
973#481—431no—
974#481—431no—
975#481C2×D4311yescharacteristic, complemented
976#481C2×D4311yescharacteristic, complemented
977#480—431no—
978#480—431no—
979#480—431no—
980#480—431no—
981#480—431no—
982#480—431no—
983#480—431no—
984#480—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#478—431no—
993#476—431no—
994#476—431no—
995#476—431no—
996#476C2×D4311yescharacteristic, complemented
997#474—431no—
998#474—431no—
999#474—431no—
1000#474C2×D4311yescharacteristic, complemented
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#469—431no—
1006#469—431no—
1007#469—431no—
1008#469—431no—
1009#469—431no—
1010#469—431no—
1011#469C2×D4311yescharacteristic
1012#469C2×D4311yescharacteristic, complemented
1013#466—431no—
1014#466—431no—
1015#466—431no—
1016#466—431no—
1017#442—431no—
1018#442—431no—
1019#442—431no—
1020#442—431no—
1021C4×D8—431no—
1022C4×D8—431no—
1023C4×D8—431no—
1024C4×D8C2×D4311yescharacteristic, complemented
1025#436—431no—
1026#436—431no—
1027#436—431no—
1028#436C2×D4311yescharacteristic, complemented
1029#435—431no—
1030#435—431no—
1031#435—431no—
1032#435—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#428—431no—
1038#428—431no—
1039#428—431no—
1040#428—431no—
1041#428—431no—
1042#428—431no—
1043#428—431no—
1044#428—431no—
1045#428—431no—
1046#428—431no—
1047#428C2×D4311yescharacteristic, complemented
1048#428C2×D4311yescharacteristic, complemented
1049#427—431no—
1050#427—431no—
1051#427—431no—
1052#427—431no—
1053#427—431no—
1054#427—431no—
1055C2×#106—431no—
1056C2×#106—431no—
1057C2×#106—431no—
1058#424—431no—
1059#418—431no—
1060#418—431no—
1061#418—431no—
1062#418—431no—
1063C2×#102—431no—
1064C2×#102—431no—
1065#408—431no—
1066#407—431no—
1067#405—431no—
1068C43#6126711yescharacteristic, complemented, Sylow
1069C2×#41—21no—
1070C2×#41—431no—
1071C2×#41—861no—
1072C2×#41—861no—
1073C2×#41—861no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C22×D4—861no—
1077C22×D4—861no—
1078C23×C4—431no—
1079C2×D8—431no—
1080C2×D8—431no—
1081C2×D8—431no—
1082C2×D8—864no—
1083C2×D8C22×D4311yescharacteristic
1084#131—864no—
1085C2×M16—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C2×M16—864no—
1092C2×M16C22×D4311yescharacteristic
1093C2×M16C22×D4311yescharacteristic
1094C22×C8—431no—
1095C22×C8—431no—
1096C22×C8—431no—
1097C22×C8—431no—
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—861no—
1101C4⋊Q8—861no—
1102C4⋊Q8C22×D4311yescharacteristic
1103C4⋊Q8C22×D4311yescharacteristic
1104#127—861no—
1105#127—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#125—431no—
1115#125—431no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#124—21no—
1121#124—21no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#123—21no—
1131#123—21no—
1132#123—431no—
1133#123—431no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148C22⋊Q8—21no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
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—431no—
1170#121—431no—
1171#121—431no—
1172#121—431no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#121C22×D4311yescharacteristic
1191#121C22×D4311yescharacteristic
1192#120—431no—
1193#120—431no—
1194#120—861no—
1195#120—861no—
1196#120—861no—
1197#120—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
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×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—21no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117C22×D4311yescharacteristic
1250#117C22×D4311yescharacteristic
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—431no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C22⋊C4—861no—
1266C2×C22⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C42—861no—
1270C2×C42—861no—
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#107—431no—
1280#107—431no—
1281#107—431no—
1282#107—431no—
1283#107—431no—
1284#107C22×D4311yescharacteristic
1285#107C22×D4311yescharacteristic
1286#107C22×D4311yescharacteristic
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106C22×D4311yescharacteristic
1302#106C22×D4311yescharacteristic
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#102C22×D4311yescharacteristic
1332#102C22×D4311yescharacteristic
1333#102C22×D4311yescharacteristic
1334#102C22×D4311yescharacteristic
1335C22⋊C8—431no—
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8—431no—
1341C22⋊C8C22×D4311yescharacteristic
1342C22⋊C8C22×D4311yescharacteristic
1343#97—431no—
1344#97—431no—
1345C4×C8—431no—
1346C4×C8C22×D4311yescharacteristic
1347C24—431no—
1348C24—861no—
1349C24—861no—
1350#41—82no—
1351#41—862no—
1352#41—862no—
1353#41—3442no—
1354#41—3442no—
1355#41—3442no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—431no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—862no—
1380C2×D4—862no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—3442no—
1392C2×D4—3442no—
1393C2×D4D4×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C2×D4C23×D4311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—861no—
1418C22×C4—861no—
1419C22×C4—861no—
1420C22×C4—861no—
1421C22×C4—861no—
1422C22×C4C23×D4311yescharacteristic
1423C22×C4C23×D4311yescharacteristic
1424D8—22no—
1425D8—862no—
1426D8—862no—
1427D8—862no—
1428M16—22no—
1429M16—22no—
1430M16—862no—
1431M16—862no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—431no—
1437C2×C8—434no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—862no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
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⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4D4×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
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⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4D4×D4311yescharacteristic
1533C22⋊C4D4×D4311yescharacteristic
1534C42—21no—
1535C42—21no—
1536C42—431no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42—861no—
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—431no—
1551C23—431no—
1552C23—431no—
1553C23—862no—
1554C23—861no—
1555C23—861no—
1556C23—3441no—
1557C23—3441no—
1558C23—3441no—
1559C23—3441no—
1560C23—1721no—
1561C23—1721no—
1562C23—1722no—
1563C23—1722no—
1564C23C2×D4×D4311yescharacteristic
1565C23C2×D4×D4311yescharacteristic
1566Q8—81no—
1567Q8—81no—
1568Q8—862no—
1569Q8—3441no—
1570Q8—3441no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—862no—
1581D4—862no—
1582D4—862no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—1721no—
1597D4—1722no—
1598D4—1722no—
1599D4—1722no—
1600D4—1721no—
1601D4—1721no—
1602D4—1722no—
1603D4—1722no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—431no—
1619C2×C4—432no—
1620C2×C4—432no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—862no—
1626C2×C4—862no—
1627C2×C4—862no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—3441no—
1647C2×C4—3441no—
1648C2×C4—3441no—
1649C2×C4—3441no—
1650C2×C4—3441no—
1651C2×C4—1722no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C24×D4311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—861no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—432no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—861no—
1685C22—861no—
1686C22—3442no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22—1721no—
1691C22—1721no—
1692C22—1721no—
1693C22—6882no—
1694C22—6882no—
1695C22C22×D4×D4311yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—432no—
1707C4—861no—
1708C4—861no—
1709C4—861no—
1710C4—861no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4—1721no—
1716C4—1721no—
1717C4C2×#41×D4311yescharacteristic
1718C42−1+4×D4311yescharacteristic
1719C2—41no—
1720C2—41no—
1721C2—81no—
1722C2—81no—
1723C2—862no—
1724C2—3441no—
1725C2—3441no—
1726C2—1721no—
1727C2—1721no—
1728C2#547×D4311yescharacteristic
1729C2#1914937111yescharacteristic
1730C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3354C2
socleC22×C43C23×D4
hypercenter#3354D43
hypocenterC43#61267
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. #19148319C2semidirect
3. #19147202C2semidirect
4. #19147200C2semidirect
5. #19147197C2semidirect
6. #19147196C2semidirect
7. #19147189C2semidirect
8. #19147186C2semidirect
9. #19147185C2semidirect
10. #19147102C2semidirect
11. #19147095C2semidirect
12. #19147093C2semidirect
13. #19147088C2semidirect
14. #19147072C2semidirect
15. #19147065C2semidirect
16. #19147063C2semidirect
17. #19147058C2semidirect
18. #19145120C2semidirect
19. #19144552C2semidirect
20. #19144550C2semidirect
21. #19144534C2semidirect
22. #19144532C2semidirect
23. #19144421C2semidirect
24. #19144419C2semidirect
25. #19144241C2semidirect
26. #469×D43C2semidirect
27. #19143442C2semidirect
28. #19143295C2semidirect
29. #19143189C2semidirect
30. #19143182C2semidirect
31. C43×#3354C2semidirect
35. #14583615C22semidirect
36. #14583613C22semidirect
37. #14583612C22semidirect
38. #14583601C22semidirect
39. #14583599C22semidirect
40. #14583599C22semidirect
41. #14583597C22semidirect
42. #14583596C22semidirect
43. #14583595C22semidirect
44. #14583595C22semidirect
45. #14583593C22semidirect
50. #14583552C22semidirect
51. #14583550C22semidirect
52. #14583549C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
85. #14583226C22semidirect
86. #14583225C22semidirect
87. #14583225C22semidirect
88. #14583225C22semidirect
89. #14583224C22semidirect
90. #14583224C22semidirect
91. #14583223C22semidirect
92. #14583223C22semidirect
93. #14583222C22semidirect
94. #14583221C22semidirect
95. #14583221C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583220C22semidirect
99. #14583219C22semidirect
100. #14583219C22semidirect
101. #14583219C22semidirect
102. #14583217C22semidirect
103. #14583216C22semidirect
104. #14583215C22semidirect
105. #14583214C22semidirect
106. #14583213C22semidirect
107. #14583213C22semidirect
108. #14583212C22semidirect
109. #14583211C22semidirect
110. #14583211C22semidirect
111. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583202C22semidirect
114. #14583201C22semidirect
115. #14583200C22semidirect
116. #14583200C22semidirect
117. #14583199C22semidirect
118. #14583199C22semidirect
119. #14583198C22semidirect
120. #14583197C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583178C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
128. #14583153C22semidirect
130. #14583152C22semidirect
136. #14583149C22semidirect
137. #14583134C22semidirect
138. #14583134C22semidirect
139. #14583133C22semidirect
140. #14583133C22semidirect
141. #14583009C22semidirect
142. #14583009C22semidirect
143. #14583008C22semidirect
144. #14583008C22semidirect
145. C4×D344C22semidirect
146. D8×Dic43C22semidirect
147. #14582981C22semidirect
148. #14582978C22semidirect
149. #14582975C22semidirect
150. #14582975C22semidirect
151. #14582973C22semidirect
152. #14582971C22semidirect
153. #14582969C22semidirect
154. #14582967C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
157. #14582941C22semidirect
159. #14582940C22semidirect
160. #14582940C22semidirect
161. #14582940C22semidirect
162. #14582939C22semidirect
166. #14582938C22semidirect
167. #14582938C22semidirect
168. #14582938C22semidirect
171. #14582936C22semidirect
172. #14582935C22semidirect
175. C2×#13063256C22semidirect
177. #106×D43C22semidirect
188. C43×#555C22semidirect
189. C43×#547C22semidirect
190. C43×#498C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#481C22semidirect
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
681. C8×D43#41semidirect
863. #3354D43semidirect
903. #555C2×D43semidirect
919. #547C2×D43semidirect
952. #498C2×D43semidirect
967. #482C2×D43semidirect
968. #482C2×D43semidirect
975. #481C2×D43semidirect
976. #481C2×D43semidirect
996. #476C2×D43semidirect
1000. #474C2×D43semidirect
1012. #469C2×D43semidirect
1024. C4×D8C2×D43semidirect
1028. #436C2×D43semidirect
1047. #428C2×D43semidirect
1048. #428C2×D43semidirect
1068. C43#61267semidirect

Maximal subgroups

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

subgroupindex
#191483292
#191483192
#191472022
#191472002
#191471972
#191471962
#191471892
#191471862
#191471852
#191471022
#191470952
#191470932
#191470882
#191470722
#191470652
#191470632
#191470582
#191451202
#191445522
#191445502
#191445342
#191445322
#191444212
#191444192
#191442412
#469×D432
#191434422
#191432952
#191431892
#191431822
C43×#33542
#6126743